  # Write Small Numbers in Standard Form

In this worksheet, students read and write small numbers in standard index form. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Interpret/Compare Standard Form Numbers

Difficulty level:   #### Worksheet Overview

Standard (index) form is a shorthand way of writing a very large or a very small number.

It is written as a  number between 1 and 10 (but not equal to 10) multiplied by a power of 10, for example 2.94 × 102 or 4.8 × 10-3.

In this worksheet, we will just look at very small numbers.

Example

Change 0.00000583 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.83

Next determine the power of 10 that you must multiply 5.83 by, to get back to 0.00000583.

In this case it is -6.

In other words, we divide 5.83 by 10 six times to get to 0.00000583.

So 0.00000583 = 5.83 × 10-6

Other Examples

0.0000001122 = 1.122 × 10-7

0.00000006 = 6 x 10-8

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