  # 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:   #### Worksheet Overview

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

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