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The Distributive Law in Subtraction (Numbers <100)

In this worksheet, students use the distributive law to answer subtraction questions.

'The Distributive Law in Subtraction (Numbers <100)' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Relationships Between Operations

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

 

In this worksheet, we use the distributive law for subtraction.

 

Example

Work out the values of A, B, C and D.

 

63×12 - 63×2 =
A
-
B
=
C

 

63×(12-2) =
D

 

Answer

A = 756
B = 126
C = 630
D = 630

This means that   63 x 12 - 63 x 2   is the same as   63 x (12 - 2)

This is the DISTRIBUTIVE LAW and makes it easier to work out the answer as 12 - 2 = 10

so we easily get     63 x 10 = 630

 

 

Solve the following equation for A, B and C.


86 x 18 
- 86 x 8 = 86 x ( A - B ) = C

 ABC
8
15
18
860
870

Solve the following equation for A, B and C.


26 x 16 
- 26 x 6 = 26 x ( A - B ) = C

 ABC
26
16
6
270
260

Solve the following equation for A, B and C.

 

74 x 14 - 74 x 4 = 74 x ( A - B ) = C

 ABC
5
4
14
740
750

Solve the following equation for A, B and C.


42 x 16 
- 42 x 6 = 42 x ( A - B ) = C

 ABC
6
8
16
410
420

Solve the following equation for A, B and C.


26 x 140 
- 26 x 40 = 26 x ( A - B ) = C

 

 ABC
40
50
140
2600
2700

Solve the following equation for A, B and C.


36 x 147 
- 36 x 47 = 36 x ( A - B ) = C

 ABC
36
147
47
3600
3800

Solve the following equation for A, B and C.


23 x 131 
- 23 x 31 = 23 x ( A - B ) = C

 ABC
23
31
131
1700
2300

Solve the following equation for A, B and C.

 

31 x 148 - 31 x 48 = 31 x ( A - B ) = C

 ABC
31
48
148
1600
3100

Solve the following equation for A, B and C.


74 x 129 
- 74 x 29 = 74 x ( A - B ) = C

 ABC
29
74
129
7200
7400

Solve the following equation for A, B and C.


88 x 128 
- 28 x 88 = 88 x ( A - B ) = C

 ABC
28
88
128
9900
8800
  • Question 1

Solve the following equation for A, B and C.


86 x 18 
- 86 x 8 = 86 x ( A - B ) = C

CORRECT ANSWER
 ABC
8
15
18
860
870
  • Question 2

Solve the following equation for A, B and C.


26 x 16 
- 26 x 6 = 26 x ( A - B ) = C

CORRECT ANSWER
 ABC
26
16
6
270
260
  • Question 3

Solve the following equation for A, B and C.

 

74 x 14 - 74 x 4 = 74 x ( A - B ) = C

CORRECT ANSWER
 ABC
5
4
14
740
750
  • Question 4

Solve the following equation for A, B and C.


42 x 16 
- 42 x 6 = 42 x ( A - B ) = C

CORRECT ANSWER
 ABC
6
8
16
410
420
  • Question 5

Solve the following equation for A, B and C.


26 x 140 
- 26 x 40 = 26 x ( A - B ) = C

 

CORRECT ANSWER
 ABC
40
50
140
2600
2700
  • Question 6

Solve the following equation for A, B and C.


36 x 147 
- 36 x 47 = 36 x ( A - B ) = C

CORRECT ANSWER
 ABC
36
147
47
3600
3800
  • Question 7

Solve the following equation for A, B and C.


23 x 131 
- 23 x 31 = 23 x ( A - B ) = C

CORRECT ANSWER
 ABC
23
31
131
1700
2300
  • Question 8

Solve the following equation for A, B and C.

 

31 x 148 - 31 x 48 = 31 x ( A - B ) = C

CORRECT ANSWER
 ABC
31
48
148
1600
3100
  • Question 9

Solve the following equation for A, B and C.


74 x 129 
- 74 x 29 = 74 x ( A - B ) = C

CORRECT ANSWER
 ABC
29
74
129
7200
7400
  • Question 10

Solve the following equation for A, B and C.


88 x 128 
- 28 x 88 = 88 x ( A - B ) = C

CORRECT ANSWER
 ABC
28
88
128
9900
8800
---- OR ----

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