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Add and Subtract Numbers in Standard Form (1)

In this worksheet, students add and subtract numbers written in standard form.

'Add and Subtract Numbers in Standard Form (1)' worksheet

Key stage:  KS 4

Curriculum topic:  Number

Curriculum subtopic:  Calculate with Numbers in Standard Form A x 10n, Where 1 = A < 10 and n is An Integer

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:


1.1223392 × 105 = 112233.92

6.94 x 10-4 = 0.000694

 

When we add and subtract numbers in standard form, we must first convert them to real numbers, then carry out the calculation before converting back to standard form.

 

Example 1

Add together

5.1 x 106  +   3 x 104

 

Answer

5.1 x 106  = 5100000

3 x 104 = 30000

 

Add to get 5130000

5130000 = 5.13 x 106

So answer is 5.13 x 106

 

Example 2

Subtract

5.2 x 105  -   9 x 104

 

Answer

5.2 x 105  = 520000

9 x 104 = 90000

 

Subtract to get 430000

430000 = 4.3 x 105

So answer is 4.3 x 105

Add together

4 x 106  +   6 x 104

 

(The answer must be in standard form)

1 x 1024

4.06 x 106

4.6 x 106

Add together

3 x 105  +   2 x 104

 

(The answer must be in standard form)

3.2 x 105

5 x 1020

6 x 105

Subtract

3 x 105  -   4 x 104

 

(The answer must be in standard form)

2.6 x 105

3.4 x 105

3.4 x 104

Subtract

5 x 109  -   4 x 106

 

(The answer must be in standard form)

1 x 103

20 x 103

4.996 x 109

Add together

1 x 103  +   4 x 106

 

(The answer must be in standard form)

4.1 x 106

5 x 103

4.001 x 106

Subtract

4 x 103  -   4 x 107

 

(The answer must be in standard form)

1 x 10-4

-3.9996 x 107

3.9996 x 104

Subtract

4.2 x 105  -   4 x 107

 

(The answer must be in standard form)

-3.958 x 107

2 x 1012

0.2 x 10-2

Add together

6.3 x 105  +   3.24 x 107

 

(The answer must be in standard form)

3.303 x 107

3.87 x 107

9.54 x 1012

Add together

3.313 x 105  +   4.28 x 104

 

(The answer must be in standard form)

7.593 x 109

12.2 x 109

3.741 x 105

Subtract

2.5 x 105  -   6.35x 107

 

(The answer must be in standard form)

3.85 x 107

-6.325 x 107

3.85 x 10-2

  • Question 1

Add together

4 x 106  +   6 x 104

 

(The answer must be in standard form)

CORRECT ANSWER
4.06 x 106
  • Question 2

Add together

3 x 105  +   2 x 104

 

(The answer must be in standard form)

CORRECT ANSWER
3.2 x 105
  • Question 3

Subtract

3 x 105  -   4 x 104

 

(The answer must be in standard form)

CORRECT ANSWER
2.6 x 105
  • Question 4

Subtract

5 x 109  -   4 x 106

 

(The answer must be in standard form)

CORRECT ANSWER
4.996 x 109
  • Question 5

Add together

1 x 103  +   4 x 106

 

(The answer must be in standard form)

CORRECT ANSWER
4.001 x 106
  • Question 6

Subtract

4 x 103  -   4 x 107

 

(The answer must be in standard form)

CORRECT ANSWER
-3.9996 x 107
  • Question 7

Subtract

4.2 x 105  -   4 x 107

 

(The answer must be in standard form)

CORRECT ANSWER
-3.958 x 107
  • Question 8

Add together

6.3 x 105  +   3.24 x 107

 

(The answer must be in standard form)

CORRECT ANSWER
3.303 x 107
  • Question 9

Add together

3.313 x 105  +   4.28 x 104

 

(The answer must be in standard form)

CORRECT ANSWER
3.741 x 105
  • Question 10

Subtract

2.5 x 105  -   6.35x 107

 

(The answer must be in standard form)

CORRECT ANSWER
-6.325 x 107
---- OR ----

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