Maths: distributive law

Tuesday 24 March 2026

In Maths, Year 4 have been showing off their brilliant mathematical skills by demonstrating the distributive law.

The distributive law is when you multiply parts of a whole separately, then add the partial products together.

The distributive law is a helpful and efficient method to use when faced with multiplication questions that we don’t know fluently. It requires us to partition one of the factors into two parts.

7 x 13 may seem tricky initially but we can partition the 13 into 10 and 3. We can then multiply these parts separately and add them together to find our answer. Simple!


7 x 13 = 7 x 10 + 7 x 3
= 70 + 21
= 91

Help at home: ask your child to complete these multiplication questions using the distributive law…

Moortown Primary School, Leeds
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