  # Write Numbers in Standard Form

In this worksheet, students write 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 large or a small number.

It consists of 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.

Example

Change 5830 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.830 or 5.83

Next determine the power of 10 that you must multiply 5.83 by, to get back to 5830.

In this case it is 3.

So 5830 = 5.83 × 103

Other Examples

11.92 = 1.192 × 10

694000000 = 6.94 x 108

0.00694 = 6.94 × 10-3

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