# Read Standard Form Numbers with Positive Indices

In this worksheet, students read and write standard form numbers with positive 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 large numbers.

Example

Change 5.83 × 106 into a normal number.

We multiply 5.83 by 10 six times.

Each digit therefore moves 6 places to the left.

This gives the number 5830000.

Other Examples

1.1223392 × 105 = 112233.92

6.94 x 108 = 694000000

Write the following standard form number as a normal number:

3.24 x 104

Write the following standard form number as a normal number:

3.24 x 106

Write the following standard form number as a normal number:

3.04 x 106

Write the following standard form number as a normal number:

1.253 x 106

Write the following standard form number as a normal number:

1.003 x 102

Write the following standard form number as a normal number:

1.00773 x 103

Write the following standard form number as a normal number:

8.06 x 109

Write the following standard form number as a normal number:

5 x 1010

Write the following standard form number as a normal number:

9.999 x 105

Write the following standard form number as a normal number:

5.91277 x 103

• Question 1

Write the following standard form number as a normal number:

3.24 x 104

32400
EDDIE SAYS
We need to multiply 3.24 by 10 four times This means the number moves four places to the left
• Question 2

Write the following standard form number as a normal number:

3.24 x 106

3240000
EDDIE SAYS
We need to multiply 3.24 by 10 six times This means the number moves six places to the left
• Question 3

Write the following standard form number as a normal number:

3.04 x 106

3040000
EDDIE SAYS
We need to multiply 3.04 by 10 six times This means the number moves six places to the left
• Question 4

Write the following standard form number as a normal number:

1.253 x 106

1253000
EDDIE SAYS
We need to multiply 1.253 by 10 six times This means the number moves six places to the left
• Question 5

Write the following standard form number as a normal number:

1.003 x 102

100.3
EDDIE SAYS
We need to multiply 1.003 by 10 two times This means the number moves two places to the left
• Question 6

Write the following standard form number as a normal number:

1.00773 x 103

1007.73
EDDIE SAYS
We need to multiply 1.00773 by 10 three times This means the number moves three places to the left
• Question 7

Write the following standard form number as a normal number:

8.06 x 109

8060000000
EDDIE SAYS
We need to multiply 8.06 by 10 nine times This means the number moves nine places to the left
• Question 8

Write the following standard form number as a normal number:

5 x 1010

50000000000
EDDIE SAYS
We need to multiply 5 by 10 ten times This means the number moves ten places to the left
• Question 9

Write the following standard form number as a normal number:

9.999 x 105

999900
EDDIE SAYS
We need to multiply 9.999 by 10 five times This means the number moves five places to the left
• Question 10

Write the following standard form number as a normal number:

5.91277 x 103

5912.77
EDDIE SAYS
We need to multiply 5.91277 by 10 three times This means the number moves three places to the left
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