  # 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:   #### Worksheet Overview

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

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