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Write Large Numbers in Standard Form

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

'Write Large 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 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 5830000 into standard form.

First fix the decimal point after the first non-zero digit, i.e. 5.830000 or 5.83


Next determine the power of 10 that you must multiply 5.83 by, to get back to 5830000.  

In this case it is 6.


So 5830000 = 5.83 × 106

 

Other Examples


112233.92 = 1.1223392 × 105

694000000 = 6.94 x 108

Change the following number to one written in standard form:

513000

5.13 x 10

5.13 x 106

5.13 x 105

Change the following number to one written in standard form:

623000

623 x 103

6.23 x 106

6.23 x 105

Change the following number to one written in standard form:

60000

6 x 103

6 x 104

6 x 105

Change the following number to one written in standard form:

6040000

6.04 x 105

60.4 x 105

6.04 x 106

Change the following number to one written in standard form:

12340000

1.234 x 107

1234 x 104

0.1234 x 108

Change the following number to one written in standard form:

100800000

1.008 x 108

1.008 x 100000000

1.008 x 109

Change the following number to one written in standard form:

40000

4 x 105

44

4 x 104

Change the following number to one written in standard form:

2000

2 x 104

2 x 103

0.2 x 105

Change the following number to one written in standard form:

20002000

2.2 x 108

2 x 107

2.0002 x 107

Change the following number to one written in standard form:

9

9 x 100

9 x 101

9 x 102

  • Question 1

Change the following number to one written in standard form:

513000

CORRECT ANSWER
5.13 x 105
EDDIE SAYS
For a x 10b a must be between 1 and 10 (5.13) To get from 5.13 to 513000 we multiply by 10 five times
  • Question 2

Change the following number to one written in standard form:

623000

CORRECT ANSWER
6.23 x 105
EDDIE SAYS
For a x 10b a must be between 1 and 10 (6.23) To get from 6.23 to 623000 we multiply by 10 five times
  • Question 3

Change the following number to one written in standard form:

60000

CORRECT ANSWER
6 x 104
EDDIE SAYS
For a x 10b a must be between 1 and 10 (6) To get from 6 to 60000 we multiply by 10 four times
  • Question 4

Change the following number to one written in standard form:

6040000

CORRECT ANSWER
6.04 x 106
EDDIE SAYS
For a x 10b a must be between 1 and 10 (6.04) To get from 6.04 to 6040000 we multiply by 10 six times
  • Question 5

Change the following number to one written in standard form:

12340000

CORRECT ANSWER
1.234 x 107
EDDIE SAYS
For a x 10b a must be between 1 and 10 (1.234) To get from 1.234 to 12340000 we multiply by 10 seven times
  • Question 6

Change the following number to one written in standard form:

100800000

CORRECT ANSWER
1.008 x 108
EDDIE SAYS
For a x 10b a must be between 1 and 10 (1.008) To get from 1.008 to 100800000 we multiply by 10 eight times
  • Question 7

Change the following number to one written in standard form:

40000

CORRECT ANSWER
4 x 104
EDDIE SAYS
For a x 10b a must be between 1 and 10 (4) To get from 4 to 40000 we multiply by 10 five times
  • Question 8

Change the following number to one written in standard form:

2000

CORRECT ANSWER
2 x 103
EDDIE SAYS
For a x 10b a must be between 1 and 10 (2) To get from 2 to 2000 we multiply by 10 three times
  • Question 9

Change the following number to one written in standard form:

20002000

CORRECT ANSWER
2.0002 x 107
EDDIE SAYS
For a x 10b a must be between 1 and 10 (2.0002) To get from 2.0002 to 20002000 we multiply by 10 seven times
  • Question 10

Change the following number to one written in standard form:

9

CORRECT ANSWER
9 x 100
EDDIE SAYS
For a x 10b a must be between 1 and 10 (9) To get from 9 to 9 we multiply by 10 zero times
---- OR ----

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