PN.12C, SEC 2, combo of m & d (50)

Question 1 of 50

1. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(9 \times 10^{7}) \times (4 \times 10^{-4})}{(6 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 2 of 50

2. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(6 \times 10^{9}) \times (2 \times 10^{-5})}{(5 \times 10^{8})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 3 of 50

3. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(72000000 \times 400)}{(9000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 4 of 50

4. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(8 \times 10^{6}) \times (3 \times 10^{-4})}{(4 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 5 of 50

5. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(5 \times 10^{7}) \times (4 \times 10^{-3})}{(8 \times 10^{9})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 6 of 50

6. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(960000 \times 700)}{(8000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 7 of 50

7. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(4 \times 10^{7}) \times (2 \times 10^{-3})}{(5 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 8 of 50

8. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(8 \times 10^{8}) \times (2 \times 10^{-4})}{(4 \times 10^{12})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 9 of 50

9. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(360000 \times 800)}{(8000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 10 of 50

10. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(6 \times 10^{8}) \times (3 \times 10^{-4})}{(9 \times 10^{6})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 11 of 50

11. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(500000 \times 800)}{(4000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 12 of 50

12. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(540000 \times 600)}{(4000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 13 of 50

13. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(9 \times 10^{9}) \times (2 \times 10^{-5})}{(4 \times 10^{7})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 14 of 50

14. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(700000 \times 900)}{(6000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 15 of 50

15. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(420000 \times 300)}{(70000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 16 of 50

16. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(7 \times 10^{6}) \times (3 \times 10^{-2})}{(3 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 17 of 50

17. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(250000 \times 400)}{(5000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 18 of 50

18. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(2500000 \times 400)}{(10000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 19 of 50

19. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(8 \times 10^{7}) \times (3 \times 10^{-5})}{(5 \times 10^{6})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 20 of 50

20. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(120000 \times 500)}{(3000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 21 of 50

21. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(640000 \times 5000)}{(8000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 22 of 50

22. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(3 \times 10^{4}) \times (5 \times 10^{-3})}{(5 \times 10^{2})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 23 of 50

23. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(1000000 \times 300)}{(50000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 24 of 50

24. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(9000000 \times 4000)}{(900)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 25 of 50

25. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(6 \times 10^{8}) \times (2 \times 10^{-4})}{(3 \times 10^{7})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 26 of 50

26. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(480000 \times 7000)}{(4000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 27 of 50

27. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(320000 \times 300)}{(6000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 28 of 50

28. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(5 \times 10^{9}) \times (4 \times 10^{-4})}{(8 \times 10^{8})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 29 of 50

29. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(900000 \times 500)}{(4500)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 30 of 50

30. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(360000 \times 500)}{(3000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 31 of 50

31. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(4 \times 10^{5}) \times (3 \times 10^{2})}{(6 \times 10^{4})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 32 of 50

32. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(4 \times 10^{6}) \times (3 \times 10^{-3})}{(8 \times 10^{8})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 33 of 50

33. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(640000 \times 600)}{(8000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 34 of 50

34. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(7000000 \times 600)}{(6000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 35 of 50

35. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(5 \times 10^{6}) \times (2 \times 10^{-2})}{(4 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 36 of 50

36. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(7 \times 10^{8}) \times (2 \times 10^{-5})}{(2 \times 10^{9})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 37 of 50

37. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(3600000 \times 900)}{(4000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 38 of 50

38. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(250000 \times 700)}{(5000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 39 of 50

39. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(8 \times 10^{4}) \times (4 \times 10^{3})}{(2 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 40 of 50

40. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(9 \times 10^{7}) \times (1 \times 10^{-4})}{(3 \times 10^{8})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 41 of 50

41. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(800000 \times 4000)}{(5000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 42 of 50

42. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(7 \times 10^{5}) \times (3 \times 10^{-2})}{(3 \times 10^{3})}$
- × 10
  
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Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 43 of 50

43. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(8 \times 10^{6}) \times (2 \times 10^{-3})}{(4 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 44 of 50

44. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(2400000 \times 600)}{(3000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 45 of 50

45. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(6 \times 10^{3}) \times (4 \times 10^{-1})}{(5 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 46 of 50

46. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(4 \times 10^{7}) \times (3 \times 10^{-5})}{(6 \times 10^{6})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 47 of 50

47. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(1200000 \times 500)}{(6000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 48 of 50

48. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(3 \times 10^{6}) \times (9 \times 10^{-3})}{(9 \times 10^{5})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 49 of 50

49. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(7 \times 10^{8}) \times (4 \times 10^{-4})}{(2 \times 10^{7})}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!
Question 50 of 50

50. Question
Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

$\frac{(4800000 \times 800)}{(4000)}$
- × 10
  
  ⌨️ Enter your answer in standard form in the fields provided.
Correct

Incorrect

Hint

Rules for Combining Multiplication and Division in Standard Form

Standard form is written as A × 10ⁿ, where:

– A is a number between 1 and 10.

– n is an integer representing how many places the decimal point has moved.

To handle combinations of multiplication and division, follow these steps:

Step 1: Multiply the numerators first:

– Multiply the A coefficients from the numbers in the numerator.

– Add the n values (powers of 10) from the numerator using the rule: 10ⁿ¹ × 10ⁿ² = 10^{n1 + n2}.

Step 2: Divide the result by the denominator:

– Divide the A coefficient of the numerator by the A coefficient of the denominator.

– Subtract the n value of the denominator from the n value of the numerator using the rule: 10ⁿ¹ ÷ 10ⁿ² = 10^{n1 – n2}.

Step 3: Adjust the final result:

– Ensure the final A coefficient is between 1 and 10:

– If A is greater than 10, divide A by 10 and increase n by 1.

– If A is less than 1, multiply A by 10 and decrease n by 1.

Tip: Work systematically to avoid errors when combining multiple operations!

PN.12C, SEC 2, combo of m & d (50)

PN.12C, SEC 2, combo of m & d (50)

Quiz Summary

Information

Results

Results

Categories

1. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(9×107)×(4×10-4)(6×105)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

2. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(6×109)×(2×10-5)(5×108)

× 10

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Hint

3. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(72000000×400)(9000)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

4. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(8×106)×(3×10-4)(4×105)

× 10

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Hint

5. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(5×107)×(4×10-3)(8×109)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

6. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(960000×700)(8000)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

7. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(4×107)×(2×10-3)(5×105)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

8. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(8×108)×(2×10-4)(4×1012)

× 10

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Hint

9. Question

Topic: Multiplying and Dividing with Standard Form.

Please have pen and paper handy to show workings out. 📝

Calculate the following:

(360000×800)(8000)

× 10

⌨️ Enter your answer in standard form in the fields provided.

Hint

10. Question

$\frac{(9 \times 10^{7}) \times (4 \times 10^{-4})}{(6 \times 10^{5})}$

$\frac{(6 \times 10^{9}) \times (2 \times 10^{-5})}{(5 \times 10^{8})}$

$\frac{(72000000 \times 400)}{(9000)}$

$\frac{(8 \times 10^{6}) \times (3 \times 10^{-4})}{(4 \times 10^{5})}$

$\frac{(5 \times 10^{7}) \times (4 \times 10^{-3})}{(8 \times 10^{9})}$

$\frac{(960000 \times 700)}{(8000)}$

$\frac{(4 \times 10^{7}) \times (2 \times 10^{-3})}{(5 \times 10^{5})}$

$\frac{(8 \times 10^{8}) \times (2 \times 10^{-4})}{(4 \times 10^{12})}$

$\frac{(360000 \times 800)}{(8000)}$

$\frac{(6 \times 10^{8}) \times (3 \times 10^{-4})}{(9 \times 10^{6})}$

$\frac{(500000 \times 800)}{(4000)}$

$\frac{(540000 \times 600)}{(4000)}$

$\frac{(9 \times 10^{9}) \times (2 \times 10^{-5})}{(4 \times 10^{7})}$

$\frac{(700000 \times 900)}{(6000)}$

$\frac{(420000 \times 300)}{(70000)}$

$\frac{(7 \times 10^{6}) \times (3 \times 10^{-2})}{(3 \times 10^{5})}$

$\frac{(250000 \times 400)}{(5000)}$

$\frac{(2500000 \times 400)}{(10000)}$