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Add and Subtract Numbers in Standard Form (2)

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

'Add and Subtract Numbers in Standard Form (2)' 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 102  +   3 x 10-2

 

Answer

5.1 x 102  = 510

3 x 10-2 = 0.03

 

Add to get 510.03

510.03 = 5.1003 x 102

So answer is 5.1003 x 102

 

Example 2

Subtract

5.2 x 103  -   9 x 10-1

 

Answer

5.2 x 103  = 5200

9 x 10-1 = 0.9

 

Subtract to get 5199.1

5199.1 = 5.1991 x 103

So answer is 5.1991 x 103

Add together

4.4 x 106  +   6.6 x 104

 

(The answer must be in standard form)

4.6 x 106

4.466 x 106

10.1 x 1024

Add together

8 x 105  +   2 x 105

 

(The answer must be in standard form)

16 x 105

10 x 105

1 x 106

Subtract

3 x 102  -   4 x 10-1

 

(The answer must be in standard form)

3.4 x 101

2.996 x 102

2.6 x 102

Subtract

5 x 103  -   4 x 10-2

 

(The answer must be in standard form)

4.99996 x 103

4.9996 x 103

1 x 105

Add together

1 x 103  +   4 x 10-1

 

(The answer must be in standard form)

4.001 x 102

5 x 102

1.0004 x 103

Subtract

4 x 10-3  -   4 x 10-4

 

(The answer must be in standard form)

1 x 107

3.6 x 10-4

3.6 x 10-3

Subtract

4.2 x 10-5  -   4 x 10-7

 

(The answer must be in standard form)

4.16 x 10-5

2 x 1012

-4 x 107

Add together

6.3 x 10-5  +   3.24 x 10-7

 

(The answer must be in standard form)

9.54 x 1012

9.54x 10-7

6.3324 x 10-5

Add together

3.313 x 101  +   4.28 x 10-1

 

(The answer must be in standard form)

3.741 x 100

12.2 x 102

7.593 x 100

Subtract

2.5 x 10-5  -   6.35 x 10-4

 

(The answer must be in standard form)

-3.85 x 10-1

-6.1 x 10-4

3.85 x 10-9

  • Question 1

Add together

4.4 x 106  +   6.6 x 104

 

(The answer must be in standard form)

CORRECT ANSWER
4.466 x 106
  • Question 2

Add together

8 x 105  +   2 x 105

 

(The answer must be in standard form)

CORRECT ANSWER
1 x 106
  • Question 3

Subtract

3 x 102  -   4 x 10-1

 

(The answer must be in standard form)

CORRECT ANSWER
2.996 x 102
  • Question 4

Subtract

5 x 103  -   4 x 10-2

 

(The answer must be in standard form)

CORRECT ANSWER
4.99996 x 103
  • Question 5

Add together

1 x 103  +   4 x 10-1

 

(The answer must be in standard form)

CORRECT ANSWER
1.0004 x 103
  • Question 6

Subtract

4 x 10-3  -   4 x 10-4

 

(The answer must be in standard form)

CORRECT ANSWER
3.6 x 10-3
  • Question 7

Subtract

4.2 x 10-5  -   4 x 10-7

 

(The answer must be in standard form)

CORRECT ANSWER
4.16 x 10-5
  • Question 8

Add together

6.3 x 10-5  +   3.24 x 10-7

 

(The answer must be in standard form)

CORRECT ANSWER
6.3324 x 10-5
  • Question 9

Add together

3.313 x 101  +   4.28 x 10-1

 

(The answer must be in standard form)

CORRECT ANSWER
3.741 x 100
  • Question 10

Subtract

2.5 x 10-5  -   6.35 x 10-4

 

(The answer must be in standard form)

CORRECT ANSWER
-6.1 x 10-4
---- OR ----

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