# Compare the Size of Numbers in Standard and Ordinary Form

In this worksheet, students will compare the size of numbers given in standard and ordinary 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 use inequalities to compare numbers written in standard and ordinary form.

Example

Write the following values in order from smallest to biggest.

0.07, 7.07 x 10-3, 7 x 10-3, 0.0007

The first step is to convert the standard form values to ordinary form.

7.07 x 10-3 = 0.00707

7 x 10-3 = 0.007

Now that we have the numbers in ordinary form, we can use our understanding of place value to compare.

0.07

0.00707

0.007

0.0007

(Smallest) 0.0007, 7 x 10-3, 7.07 x 10-3, 0.07 (Largest)

Feeling confident? Let's try the activity!

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