The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Read Standard Form Numbers with Positive Indices

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

'Read Standard Form Numbers with Positive Indices' 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 5.83 × 106 into a normal number.

Answer

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

CORRECT ANSWER
32400
  • Question 2

Write the following standard form number as a normal number:

3.24 x 106

CORRECT ANSWER
3240000
  • Question 3

Write the following standard form number as a normal number:

3.04 x 106

CORRECT ANSWER
3040000
  • Question 4

Write the following standard form number as a normal number:

1.253 x 106

CORRECT ANSWER
1253000
  • Question 5

Write the following standard form number as a normal number:

1.003 x 102

CORRECT ANSWER
100.3
  • Question 6

Write the following standard form number as a normal number:

1.00773 x 103

CORRECT ANSWER
1007.73
  • Question 7

Write the following standard form number as a normal number:

8.06 x 109

CORRECT ANSWER
8060000000
  • Question 8

Write the following standard form number as a normal number:

5 x 1010

CORRECT ANSWER
50000000000
  • Question 9

Write the following standard form number as a normal number:

9.999 x 105

CORRECT ANSWER
999900
  • Question 10

Write the following standard form number as a normal number:

5.91277 x 103

CORRECT ANSWER
5912.77
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1