Multiply these numbers using partitioning

a) | = |

b) | = |

c) | = |

d) | = |

e) | = |

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**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)
**

**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**

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