# 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:

### QUESTION 1 of 10

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

Write the following number in standard form:

8051

80.51 x 102

8.051 x 102

8.051 x 103

Write the following number in standard form:

80510

80.51 x 103

8.051 x 104

8.051 x 103

Write the following number in standard form:

8051000

80.51 x 105

8.051 x 104

8.051 x 106

Write the following number in standard form:

201000

2.01 x 105

201 x 104

2.01 x 106

Write the following number in standard form:

0.201

2.01 x 10-1

2.01 x 101

2.01 x 10-3

Write the following number in standard form:

0.000201

2.01 x 10-3

2.01 x 104

2.01 x 10-4

Write the following number in standard form:

0.0008

8 x 10-3

8 x 104

8 x 10-4

Write the following number in standard form:

80000

8 x 104

80 x 103

8 x 10-4

Write the following number in standard form:

30040

3004 x 104

3.004 x 104

3.004 x 10-4

Write the following number in standard form:

0.3004

3004 x 10-4

3.004 x 104

3.004 x 10-1

• Question 1

Write the following number in standard form:

8051

8.051 x 103
• Question 2

Write the following number in standard form:

80510

8.051 x 104
• Question 3

Write the following number in standard form:

8051000

8.051 x 106
• Question 4

Write the following number in standard form:

201000

2.01 x 105
• Question 5

Write the following number in standard form:

0.201

2.01 x 10-1
• Question 6

Write the following number in standard form:

0.000201

2.01 x 10-4
• Question 7

Write the following number in standard form:

0.0008

8 x 10-4
• Question 8

Write the following number in standard form:

80000

8 x 104
• Question 9

Write the following number in standard form:

30040

3.004 x 104
• Question 10

Write the following number in standard form:

0.3004

3.004 x 10-1
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