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Calculations in standard form
AQA GCSE Mathematics practice questions with step-by-step solutions
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EasyQuestion 1
[2 marks]Work out, giving your answer in standard form:
(a) (3 × 10⁴) × (4 × 10⁵)
(b) (8 × 10⁷) ÷ (2 × 10³)
Solution for Question 1
MediumQuestion 2
[3 marks]Work out:
(5 × 10⁶) + (3 × 10⁵)
Give your answer in standard form.
Solution for Question 2
HardQuestion 3
[4 marks]A virus has a diameter of 2.8 × 10⁻⁷ m.
A grain of sand has a diameter of 7 × 10⁻⁴ m.
How many times larger is the grain of sand than the virus?
Give your answer in standard form.
Solution for Question 3
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Generate Unlimited QuestionsAbout Calculations in standard form in AQA GCSE
For multiplication in standard form: multiply the numbers and add the powers. (3 × 10⁴) × (2 × 10⁵) = 6 × 10⁹. If the result isn't in standard form, adjust it.
For division: divide the numbers and subtract the powers. (8 × 10⁶) ÷ (2 × 10²) = 4 × 10⁴.
For addition and subtraction, the powers must be the same. Convert one number so both have the same power, then add or subtract the front numbers. For example: 3 × 10⁵ + 4 × 10⁴ = 3 × 10⁵ + 0.4 × 10⁵ = 3.4 × 10⁵.
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