# Read Standard Form Numbers with Negative Indices

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

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 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.

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

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

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

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

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

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

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

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

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

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

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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