Year 6 Maths

Summer term
Block B
Lesson 1

Multiply these numbers using partitioning

 a) = b) = c) = d) = e) =

How to multiply using partitioning

When multiplying larger numbers the partition method can be used to solve questions, by splitting one of the numbers into two smaller ones.
Multiply  18 x 17

First you rewrite the question so you can see how you have split one of the numbers up. You will find it easier to split the number with the largest value in the units column
So with 18 x 17 you would split the 8 as it is larger than 7.

 - It is always a good idea to put brackets around the new parts of the sum, to stop you getting confused during the calculations-   15 x 12  would become  (15 x 10) + (15 x 2)

So your rewritten calculation should look like this.

18 x 17 = (17 x 10) + (17 x 8)

Now you are ready to complete the two parts of the calculation.

18 x 17 = (17 x 10) + (17 x 8)
= 170 + 136
= 306

If you are struggling with  these numbers you can split them again so you end up with four parts to the calculation
So with 18 x 17 = (17 x 10) + (17 x 8).

18 x 17 = ((10 x 10) + (7 x 10)) + ((10 x 8) + (7 x 8))
= (100 + 70) + (80 + 56)
= 170 + 136
= 306