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Read Standard Form Numbers with Negative Indices

In this worksheet, students read and write standard form numbers with negative indices as normal numbers.

'Read Standard Form Numbers with Negative Indices' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Interpret/Compare Standard Form Numbers

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

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.

In this worksheet, we will just look at very small numbers.

 

Example

Change 5.83 × 10-6 into a normal number.

Answer

We divide 5.83 by 10 six times.

Each digit therefore moves 6 places to the right.

This gives the number 0.00000583.  


 

Other Examples


1.122 × 10-7 = 0.0000001122

6 x 10-8 = 0.00000006

Write the following standard form number as a normal number:

3.24 x 10-4

Write the following standard form number as a normal number:

3.24 x 10-6

Write the following standard form number as a normal number:

3.4 x 10-6

Write the following standard form number as a normal number:

1.253 x 10-3

Write the following standard form number as a normal number:

1 x 10-2

Write the following standard form number as a normal number:

1.00773 x 10-3

Write the following standard form number as a normal number:

8.06 x 10-9

Write the following standard form number as a normal number:

5 x 10-10

Write the following standard form number as a normal number:

9.9 x 10-5

Write the following standard form number as a normal number:

4.444 x 10-4

  • Question 1

Write the following standard form number as a normal number:

3.24 x 10-4

CORRECT ANSWER
0.000324
  • Question 2

Write the following standard form number as a normal number:

3.24 x 10-6

CORRECT ANSWER
0.00000324
  • Question 3

Write the following standard form number as a normal number:

3.4 x 10-6

CORRECT ANSWER
0.0000034
  • Question 4

Write the following standard form number as a normal number:

1.253 x 10-3

CORRECT ANSWER
0.001253
  • Question 5

Write the following standard form number as a normal number:

1 x 10-2

CORRECT ANSWER
0.01
  • Question 6

Write the following standard form number as a normal number:

1.00773 x 10-3

CORRECT ANSWER
0.00100773
  • Question 7

Write the following standard form number as a normal number:

8.06 x 10-9

CORRECT ANSWER
0.00000000806
  • Question 8

Write the following standard form number as a normal number:

5 x 10-10

CORRECT ANSWER
0.0000000005
  • Question 9

Write the following standard form number as a normal number:

9.9 x 10-5

CORRECT ANSWER
0.000099
  • Question 10

Write the following standard form number as a normal number:

4.444 x 10-4

CORRECT ANSWER
0.0004444
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