GCSE Maths (AQA)

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Standard Form Multiplication & Division

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Number Structure and Calculation

Standard Form Multiplication & Division

5:06 Standard Form Calculations
Spec N9
Previous Ordering Numbers in Standard Form Next Key Fractions & Decimals
  • Standard form makes it easier to multiply or divide large and small numbers together
  • When multiplying in standard form, add the indices of the powers of 10 and multiply the coefficients
  • If the coefficient is greater than 10, the answer is not in standard form and needs to be adjusted
  • Division in standard form is similar, but subtract the indices and divide the coefficients
  • Standard form is widely used in the sciences, especially in physics
  • To convert a number to standard form, adjust the coefficient and power of 10 as needed
  • Check the conversion by multiplying out the two versions of the answer
  • Example: 5 times 10 to the 3 times 7 times 10 to the 6 = 35 times 10 to the 9, adjust to 3.5 times 10 to the 10
  • Example: 2 times 10 to the 3 divided by 4 times 10 to the 4 = 0.5 times 10 to the -1, adjust to 5 times 10 to the -2

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