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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:  

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 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
  • Question 2

Change the following number to one written in standard form:

623000

CORRECT ANSWER
6.23 x 105
  • Question 3

Change the following number to one written in standard form:

60000

CORRECT ANSWER
6 x 104
  • Question 4

Change the following number to one written in standard form:

6040000

CORRECT ANSWER
6.04 x 106
  • Question 5

Change the following number to one written in standard form:

12340000

CORRECT ANSWER
1.234 x 107
  • Question 6

Change the following number to one written in standard form:

100800000

CORRECT ANSWER
1.008 x 108
  • Question 7

Change the following number to one written in standard form:

40000

CORRECT ANSWER
4 x 104
  • Question 8

Change the following number to one written in standard form:

2000

CORRECT ANSWER
2 x 103
  • Question 9

Change the following number to one written in standard form:

20002000

CORRECT ANSWER
2.0002 x 107
  • Question 10

Change the following number to one written in standard form:

9

CORRECT ANSWER
9 x 100
---- OR ----

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