PN.12C, SEC 3, Practical Apps (50)
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Question 1 of 50
1. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The height of Mount Everest 🏔️ is approximately 8,848 metres.
Write this in standard form.
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 2 of 50
2. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The mass of a grain of rice 🍚 is approximately 3.2 × 10⁻² grams.
Write this mass as an ordinary number.
-
grams
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 3 of 50
3. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In architecture 🏛️, the area of a rectangular window is calculated using A = l × w.
If l = 1.5 × 10³ metres and w = 2 × 10² metres, calculate the area of the window.
Give your answer as an ordinary number.
-
m²
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 4 of 50
4. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The mass of an ununpentium atom ⚛️ is about 0.000000000000000000000001289 kilograms.
Write this in standard form.
-
× 10 kg
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 5 of 50
5. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The speed of a train 🚄 is approximately 1.8 × 10² kilometres per hour.
Write this speed as an ordinary number.
-
km/hr
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 6 of 50
6. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In motor vehicle maintenance 🚗, the power output P of an engine is calculated using P = T × ω.
If the torque T = 3 × 10³ Newton-metres and the angular velocity ω = 2 × 10⁴ radians per second, calculate the power output.
Give your answer as an ordinary number.
-
watts
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 7 of 50
7. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The distance from the Earth to the Moon 🌕 is approximately 384,400,000 metres.
Write this in standard form.
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 8 of 50
8. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The thickness of a sheet of paper 📄 is approximately 7.5 × 10⁻² millimetres.
Write this thickness as an ordinary number.
-
mm
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 9 of 50
9. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In construction 🏗️, the weight W of a steel beam is calculated using W = ρ × V, where ρ is the density and V is the volume.
If ρ = 8 × 10³ kilograms per cubic metre and V = 5 × 10⁻¹ cubic metres, calculate the weight.
Give your answer as an ordinary number.
-
kg
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 10 of 50
10. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A single red blood cell 🩸 has a volume of approximately 0.00000009 cubic metres.
Write this in standard form.
-
× 10 m³
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 11 of 50
11. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The distance between two towns 🏘️ is approximately 3.2 × 10² kilometres.
Write this distance as an ordinary number.
-
km
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 12 of 50
12. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In plumbing 🚰, the pressure P of water in a pipe is calculated using P = F/A, where F is force and A is area.
If F = 6 × 10³ Newtons and A = 2 × 10⁻² square metres, calculate the pressure.
Give your answer as an ordinary number.
-
Pascals
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 13 of 50
13. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In physics, the energy of a photon is calculated using the equation E = hf.
E is the energy of the photon, h is Planck’s constant, and f is the frequency of the photon.
If h = 6.63 × 10⁻³⁴ joules·seconds and f = 5 × 10¹⁴ Hz, use the equation to calculate E. ⚛️
Give your answer in standard form.
-
× 10 joules
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 14 of 50
14. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A medicine drop 💧 contains approximately 4.7 × 10⁻³ litres.
Write this volume as an ordinary number.
-
litres
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 15 of 50
15. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In electrical engineering 🔌, the energy E consumed by a device is calculated using E = P × t, where P is power and t is time.
If P = 2 × 10³ watts and t = 3 × 10⁴ seconds, calculate the energy consumed.
Give your answer as an ordinary number.
-
Joules
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 16 of 50
16. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The distance from Earth 🌍 to the Sun 🌞 is approximately 150,000,000 kilometres.
The speed of light ⚡ is about 300,000 kilometres per second.
How many seconds ⏱️ does it take for light to travel from the Sun to Earth?
Give your answer in standard form.
-
× 10 seconds
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 17 of 50
17. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In medicine, the magnetic flux Φ is calculated using the equation Φ = B × A.
Φ is the magnetic flux, B is the magnetic field strength, and A is the area.
If B = 3 × 10¹ Tesla and A = 5 × 10⁻¹ m², use the equation to calculate Φ. 🏥
Give your answer in standard form.
-
× 10 Weber
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 18 of 50
18. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The height of a skyscraper 🏙️ is approximately 2.5 × 10³ metres.
Write this height as an ordinary number.
-
m
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 19 of 50
19. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In architecture 🏛️, the area A of a circular window is calculated using A = πr², where r is the radius.
If r = 5 × 10² cm, calculate the area. Use π ≈ 3.
Give your answer as an ordinary number.
-
cm²
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 20 of 50
20. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The mass of Earth 🌍 is approximately 5,970,000,000,000,000,000,000,000 kilograms.
Write this mass in standard form.
-
× 10 kg
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 21 of 50
21. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In engineering, the voltage V in a circuit is calculated using the equation V = IR.
V is voltage, I is current, and R is resistance.
If I = 2.5 × 10³ amperes and R = 1.2 × 10² ohms, use the equation to calculate V. 🔧
Give your answer in standard form.
-
× 10 Volts
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 22 of 50
22. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The weight of a small bird 🐦 is approximately 1.2 × 10⁻¹ kilograms.
Write this weight as an ordinary number.
-
kg
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 23 of 50
23. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In motor vehicle maintenance 🚗, the rotational kinetic energy KE of a flywheel is calculated using KE = 0.5 × I × ω², where I is moment of inertia and ω is angular velocity.
If I = 4 × 10² kilograms·metres² and ω = 3 × 10³ radians per second, calculate the kinetic energy.
Give your answer as an ordinary number.
-
Joules
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
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-
Question 24 of 50
24. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A grain of sand weighs about 0.00000025 kilograms. 🏖️
Write this weight in standard form.
-
× 10 kg
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 25 of 50
25. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In physics, the velocity v of an object is calculated using the equation v = at.
v is velocity, a is acceleration, and t is time.
If a = 3 × 10⁻² metres per second² and t = 4 × 10² seconds, use the equation to calculate v. 🚗
Give your answer in standard form.
-
× 10 m/s
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 26 of 50
26. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The capacity of a small tank 🚰 is approximately 8.5 × 10² litres.
Write this capacity as an ordinary number.
-
litres
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 27 of 50
27. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The distance from London to New York ✈️ is approximately 5,570,000 metres.
Write this distance in standard form.
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 28 of 50
28. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In medicine, the total radiation dose D is calculated using the equation D = r × t.
D is the dose, r is the rate of radiation, and t is the time.
If r = 2.5 × 10⁻⁴ Gray per second and t = 1.2 × 10¹ seconds, use the equation to calculate D. 🩺
Give your answer in standard form.
-
× 10 Gray
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 29 of 50
29. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The speed of a race car 🏎️ is approximately 2.4 × 10² kilometres per hour.
Write this speed as an ordinary number.
-
km/hr
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 30 of 50
30. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The diameter of a red blood cell is approximately 0.0000075 metres.
Write this in standard form. 🩸
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 31 of 50
31. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In physics, the force F on an object is calculated using the equation F = ma.
F is force, m is mass, and a is acceleration.
If m = 5 × 10² kilograms and a = 2 × 10¹ metres per second², use the equation to calculate F. ⚙️
Give your answer in standard form.
-
× 10 Newtons
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 32 of 50
32. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The length of a large blue whale 🐋 is approximately 3.1 × 10¹ metres.
Write this length as an ordinary number.
-
m
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 33 of 50
33. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A smartphone battery 🔋 has a capacity of about 0.000025 kilowatt-hours.
Write this in standard form.
-
× 10 kWh
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 34 of 50
34. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In engineering, the power P in a circuit is calculated using the equation P = IV.
P is power, I is current, and V is voltage.
If I = 4 × 10² amperes and V = 2 × 10³ volts, use the equation to calculate P. 🔌
Give your answer in standard form.
-
× 10 Watts
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 35 of 50
35. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The weight of a loaf of bread 🍞 is approximately 4.5 × 10⁻¹ kilograms.
Write this weight as an ordinary number.
-
kg
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 36 of 50
36. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The diameter of the Moon 🌕 is approximately 3,474,000 metres.
Write this in standard form.
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 37 of 50
37. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In medicine, the flow rate Q of blood is calculated using the equation Q = vA.
Q is flow rate, v is velocity, and A is cross-sectional area.
If v = 3 × 10⁻¹ metres per second and A = 5 × 10⁻² m², use the equation to calculate Q. 🩸
Give your answer in standard form.
-
× 10 m³/s
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 38 of 50
38. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The diameter of a basketball hoop 🏀 is approximately 4.6 × 10¹ centimetres.
Write this diameter as an ordinary number.
-
cm
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 39 of 50
39. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A typical bacterium 🦠 is about 0.0000025 metres long.
Write this in standard form.
-
× 10 m
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 40 of 50
40. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In physics, the kinetic energy KE of an object is calculated using the equation KE = 0.5mv².
KE is kinetic energy, m is mass, and v is velocity.
If m = 2 × 10² kilograms and v = 3 × 10¹ metres per second, use the equation to calculate KE. ⚡
Give your answer in standard form.
-
× 10 Joules
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 41 of 50
41. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The power output of a wind turbine 🌬️ is approximately 1.2 × 10³ kilowatts.
Write this power output as an ordinary number.
-
kW
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 42 of 50
42. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The population of the UK 🇬🇧 is approximately 67,000,000 people.
Write this in standard form.
-
× 10 people
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 43 of 50
43. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In engineering, the pressure P on a surface is calculated using the equation P = F/A.
P is pressure, F is force, and A is area.
If F = 6 × 10³ Newtons and A = 2 × 10² m², use the equation to calculate P. 🔧
Give your answer in standard form.
-
× 10 Pascals
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 44 of 50
44. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In electrical engineering 🔌, the power output P in a simple circuit is calculated using P = IV.
If the current I = 5 × 10³ amperes and the voltage V = 2 × 10² volts, calculate the power output.
Give your answer as an ordinary number.
-
watts
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 45 of 50
45. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The speed of sound in air 🌬️ is approximately 343 metres per second.
Write this in standard form.
-
× 10 m/s
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 46 of 50
46. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
The distance from London to Paris ✈️ is approximately 2.1 × 10³ kilometres.
Write this distance as an ordinary number.
-
km
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
-
-
Question 47 of 50
47. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In plumbing 🚰, the flow rate Q through a pipe is calculated using Q = v × A.
If the velocity of water v = 3 × 10² metres per second and the cross-sectional area A = 5 × 10⁻² square metres, calculate the flow rate.
Give your answer as an ordinary number.
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m³/s
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
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Question 48 of 50
48. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A proton has a mass of approximately 0.00000000000000000000000167 kilograms.
Write this in standard form.
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× 10 kg
⌨️ Enter your answer in standard form in the fields provided.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
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Question 49 of 50
49. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
A small droplet of water 💧 has a volume of approximately 4.5 × 10⁻³ litres.
Write this volume as an ordinary number.
-
Litres
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
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Question 50 of 50
50. Question
Topic: Practical Applications of Standard Form.
Please have pen and paper handy to show workings out. 📝
In construction 🏗️, the volume V of a concrete block is calculated using V = l × w × h.
If l = (2 × 10² metres), w = 1 × 10¹ metres, and h = 5 × 10⁻² metres, calculate the volume.
Give your answer as an ordinary number.
-
m³
⌨️ Type your answer without spaces.
CorrectIncorrectHint
Hints for Solving Problems 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.
Read the question carefully: Identify whether the problem requires addition, subtraction, multiplication, or division.
– For addition or subtraction: It may help to first convert the standard form numbers to ordinary numbers, especially if the values do not have too many zeros. After performing the operation, convert the result back to standard form.
– For multiplication or division: Use the rules of standard form:
– Multiply or divide the A coefficients.
– Add the powers (n) when multiplying, or subtract them when dividing.
– Ensure the result is in standard form by adjusting A and n if needed (1 ≤ A < 10).
Tip: Converting to ordinary numbers can simplify comparisons or operations in some cases, but always check the question’s requirements before deciding!
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