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:  

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
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

CORRECT ANSWER
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

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

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.