# The Distributive Law in Addition (Numbers <100)

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

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 addition.

Example

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

59×3 + 59×7 =
 A
+
 B
=
 C

59×(3 + 7) =
 D

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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 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

 A B C 47 57 43 9900 9700
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