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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:  

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
EDDIE SAYS
The power in this question is 10-4 This means each digit in the number moves four places to the right.
  • Question 2

Write the following standard form number as a normal number:

3.24 x 10-6

CORRECT ANSWER
0.00000324
EDDIE SAYS
The power in this question is 10-6 This means each digit in the number moves six places to the right.
  • Question 3

Write the following standard form number as a normal number:

3.4 x 10-6

CORRECT ANSWER
0.0000034
EDDIE SAYS
The power in this question is 10-6 This means each digit in the number moves six places to the right.
  • Question 4

Write the following standard form number as a normal number:

1.253 x 10-3

CORRECT ANSWER
0.001253
EDDIE SAYS
The power in this question is 10-3 This means each digit in the number moves three places to the right.
  • Question 5

Write the following standard form number as a normal number:

1 x 10-2

CORRECT ANSWER
0.01
EDDIE SAYS
The power in this question is 10-2 This means each digit in the number moves two places to the right.
  • Question 6

Write the following standard form number as a normal number:

1.00773 x 10-3

CORRECT ANSWER
0.00100773
EDDIE SAYS
The power in this question is 10-3 This means each digit in the number moves three places to the right.
  • Question 7

Write the following standard form number as a normal number:

8.06 x 10-9

CORRECT ANSWER
0.00000000806
EDDIE SAYS
The power in this question is 10-9 This means each digit in the number moves nine places to the right.
  • Question 8

Write the following standard form number as a normal number:

5 x 10-10

CORRECT ANSWER
0.0000000005
EDDIE SAYS
The power in this question is 10-10 This means each digit in the number moves ten places to the right.
  • Question 9

Write the following standard form number as a normal number:

9.9 x 10-5

CORRECT ANSWER
0.000099
EDDIE SAYS
The power in this question is 10-5 This means each digit in the number moves five places to the right.
  • Question 10

Write the following standard form number as a normal number:

4.444 x 10-4

CORRECT ANSWER
0.0004444
EDDIE SAYS
The power in this question is 10-4 This means each digit in the number moves four places to the right.
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