 # The Distributive Law in Subtraction (Numbers <100)

In this worksheet, students use the distributive law to answer subtraction questions. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Relationships Between Operations

Difficulty level:   ### 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

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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 28 88 128 9900 8800
---- 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 