  # Write Large Numbers in Standard Form

In this worksheet, students will write large 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.

You can probably see how much easier it is to manage numbers when they are in standard form - counting all those zeros can be quite tricky! It can be incredibly useful in science if you want to compare the magnitude of things that are very large (such as distances in space) or very small (such as the size of bacteria or cells in the body). In this activity, we will just look at very large numbers.

Example

Change 5830000 into standard form.

First, fix the decimal point after the first digit to make a number between 1 and 10:   5.830000 or 5.83

Next, determine the power of 10 that you must multiply 5.83 by, to get back to 5830000

In this case it is 6.

So 5830000 = 5.83 × 106

Other Examples

112233.92 = 1.1223392 × 105

694000000 = 6.94 x 108

Let's have a go at some questions now.

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