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The Distributive Law in Addition (Numbers <100)

In this worksheet, students use the distributive law to work out a calculation.

'The Distributive Law in Addition (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 addition.

 

Example

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

 

59×3 + 59×7 =
A
+
B
=
C

 

59×(3 + 7) =
D

 

Answer

A = 177
B = 413
C = 590
D = 590

This means that    59 x 3 + 59 x 7   is the same as   59 x (3 + 7)

This is the DISTRIBUTIVE LAW and makes it easier to work out the answer as 3 + 7 = 10

so we easily get     59 x 10 = 590

 

Solve the following equation for A, B and C.

 

32 x 7 + 32 x 3 = 32 x ( A + B ) = C

 ABC
3
4
7
225
320

Solve the following equation for A, B and C.

 

99 x 7 + 99 x 3 = 99 x ( A + B ) = C

 ABC
3
5
7
975
990

Solve the following equation for A, B and C.

72 x 7 + 72 x 3 = 72 x ( A + B ) = C

 ABC
3
6
7
75
720

Solve the following equation for A, B and C.

19 x 6 + 19 x 4 = 19 x ( A + B ) = C

 ABC
5
6
4
150
190

Solve the following equation for A, B and C.

 

75 x 67 + 75 x 33 = 75 x ( A + B ) = C

 ABC
33
67
75
7700
7500

Solve the following equation for A, B and C.

 

41 x 53 + 41 x 47 = 41 x ( A + B ) = C

 ABC
41
53
47
31700
4100

Solve the following equation for A, B and C.

 

15 x 69 + 15 x 31 = 15 x ( A + B ) = C

 ABC
15
69
31
1800
1500

Solve the following equation for A, B and C.


12 x 46 + 12 x 54 = 12 x ( 
A + B ) = C

 ABC
12
46
54
1200
1400

Solve the following equation for A, B and C.

 

83 x 75 + 83 x 25 = 83 x ( A + B ) = C

 ABC
83
75
25
8300
8700

Solve the following equation for A, B and C.


99 x 57 + 43 x 99 = 99 x ( 
A + B ) = C

 ABC
47
57
43
9900
9700
  • Question 1

Solve the following equation for A, B and C.

 

32 x 7 + 32 x 3 = 32 x ( A + B ) = C

CORRECT ANSWER
 ABC
3
4
7
225
320
EDDIE SAYS
32 x 7 + 32 x 3 is the same as 32 x (7 + 3) = 32 x 10 = 320
  • Question 2

Solve the following equation for A, B and C.

 

99 x 7 + 99 x 3 = 99 x ( A + B ) = C

CORRECT ANSWER
 ABC
3
5
7
975
990
EDDIE SAYS
99 x 7 + 99 x 3 is the same as 99 x (7 + 3) = 99 x 10 = 990
  • Question 3

Solve the following equation for A, B and C.

72 x 7 + 72 x 3 = 72 x ( A + B ) = C

CORRECT ANSWER
 ABC
3
6
7
75
720
EDDIE SAYS
72 x 7 + 72 x 3 is the same as 72 x (7 + 3) = 72 x 10 = 720
  • Question 4

Solve the following equation for A, B and C.

19 x 6 + 19 x 4 = 19 x ( A + B ) = C

CORRECT ANSWER
 ABC
5
6
4
150
190
EDDIE SAYS
19 x 6 + 19 x 4 is the same as 19 x (6 + 4) = 19 x 10 = 190
  • Question 5

Solve the following equation for A, B and C.

 

75 x 67 + 75 x 33 = 75 x ( A + B ) = C

CORRECT ANSWER
 ABC
33
67
75
7700
7500
EDDIE SAYS
75 x 67 + 75 x 33 is the same as 75 x (67 + 33) = 75 x 100 = 7500
  • Question 6

Solve the following equation for A, B and C.

 

41 x 53 + 41 x 47 = 41 x ( A + B ) = C

CORRECT ANSWER
 ABC
41
53
47
31700
4100
EDDIE SAYS
41 x 53 + 41 x 47 is the same as 41 x (53 + 47) = 41 x 100 = 4100
  • Question 7

Solve the following equation for A, B and C.

 

15 x 69 + 15 x 31 = 15 x ( A + B ) = C

CORRECT ANSWER
 ABC
15
69
31
1800
1500
EDDIE SAYS
15 x 69 + 15 x 31 is the same as 15 x (69 + 31) = 15 x 100 = 1500
  • Question 8

Solve the following equation for A, B and C.


12 x 46 + 12 x 54 = 12 x ( 
A + B ) = C

CORRECT ANSWER
 ABC
12
46
54
1200
1400
  • Question 9

Solve the following equation for A, B and C.

 

83 x 75 + 83 x 25 = 83 x ( A + B ) = C

CORRECT ANSWER
 ABC
83
75
25
8300
8700
  • Question 10

Solve the following equation for A, B and C.


99 x 57 + 43 x 99 = 99 x ( 
A + B ) = C

CORRECT ANSWER
 ABC
47
57
43
9900
9700
---- OR ----

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