# Add and Subtract using Standard Form

In this worksheet, students will add and subtract using standard form.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Interpret/Compare Standard Form Numbers

Difficulty level:

#### Worksheet Overview

Using standard form is incredibly useful when we need to use either very large or very small numbers.

Areas we may use standard form include physics, biology and chemistry - from measuring the distance between planets to the mass of atoms.

In this activity, we will be adding and subtracting numbers written in standard form.

To be able to do this we need to be able to convert between standard form and ordinary form.

Example 1

5.1 x 102 as an ordinary number is 510

0.003214 written in standard form is 3.214 x 10-3

Example 2

Work out

2.4 x 104 + 3.6 x 102

To work out the answer to this question, we need to convert the numbers from standard form to ordinary form first.

2.4 x 104 + 3.6 x 102

= 24,000 + 360

= 24,360

We can now change back to standard form.

2.4360 x 104

Remember that for a number to be in standard form the base number needs to be between 1 and 10.

Example 3

Work out

2.4 x 104 - 3.6 x 103

First, let's convert the numbers from standard form to ordinary form first.

2.4 x 104 - 3.6 x 103

= 24,000 - 3,600

= 20,400

= 2.04 x 104

Are you ready to jump in to the activity?

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