# Multiplying and dividing standard form

### Description

GCSE Maths (Year 8 Number 2) Note on Multiplying and dividing standard form, created by Ellen Billingham on 11/05/2013.
Note by Ellen Billingham, updated more than 1 year ago
 Created by Ellen Billingham about 11 years ago
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## Resource summary

### Page 1

Here is an example of a sum that involves multiplying standard form:(4.2 x 10^-4) x (5 x 10^2)To solve this, you begin by multiplying the numbers, to get21 x 10^-4 x 10^2Then add the powers of the 10s, because you are multiplying.21 x 10^-2Now all you have to do is change it to standard form (because the multiplier has to be between 1 and 10.)2.1 x 10^-1REMEMBER:If you move the decimal place to the left, you add to the powerIf you move the decimal place to the right, you subtract from it.

Here is an example of a sum that involves dividing standard form:(67.5 x 10^4) ÷ (5 x 10^3)First, you divide the numbers, to get:13.5 x 10^4 ÷ 10^3Then you subtract the powers of 10, because you are dividing13.5 x 10^1Now just change it into standard form, because the multiplier has to be between 1 and 101.35 x 10^2REMEMBERIf you move the decimal point to the left, add the powerIf you move the decimal point to the right, minus the power

Multiplying

Dividing

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