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Write Numbers in Standard Form

In this worksheet, students write numbers in standard index form.

'Write Numbers in Standard Form' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Interpret/Compare Standard Form Numbers

Difficulty level:  

Worksheet Overview

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

 

CORRECT ANSWER
8.051 x 103
  • Question 2

Write the following number in standard form:

80510

 

CORRECT ANSWER
8.051 x 104
  • Question 3

Write the following number in standard form:

8051000

 

CORRECT ANSWER
8.051 x 106
  • Question 4

Write the following number in standard form:

201000

 

CORRECT ANSWER
2.01 x 105
  • Question 5

Write the following number in standard form:

0.201

 

CORRECT ANSWER
2.01 x 10-1
  • Question 6

Write the following number in standard form:

0.000201

 

CORRECT ANSWER
2.01 x 10-4
  • Question 7

Write the following number in standard form:

0.0008

 

CORRECT ANSWER
8 x 10-4
  • Question 8

Write the following number in standard form:

80000

 

CORRECT ANSWER
8 x 104
  • Question 9

Write the following number in standard form:

30040

 

CORRECT ANSWER
3.004 x 104
  • Question 10

Write the following number in standard form:

0.3004

 

CORRECT ANSWER
3.004 x 10-1
---- OR ----

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