St Jo's Maths Zone: Multiplication and Division

Multiplication Strategies I can use:

Strategy	Example
Using my 5 times tables to work out 6,7 and 8 times tables	8 × 7 = 8 × 5 = 40 8 × 2 = 16 40 + 16 = 56
Place Value (Basic Mult) Splitting the numbers into parts	24 × 5 = 20 × 5 = 100 4 × 5 = 20 100 + 20 = 120
Place Value (Harder Mult) Splitting the numbers into parts	35 × 63 = 30 × 60 = 1800 30 × 3 = 90 5 × 60 = 300 5 × 3 = 15 1800 + 300 = 2100 + 90 = 2190 + 15 = 2205
Rounding and Compensating (Mult) Adding more groups on to make a tidy number then taking off the groups at the end	37 × 6 = (add 3 groups on) 40 × 6 = 240 240 – (3×6=18) = 222
Doubling and Halving (Mult) You look for one of the numbers that when doubled or halved will give you an easy problem to solve.	42 × 20 = Halve 20 = 10 Double 42 = 84 So now solve 84 × 10 = 840

Division Strategies I can use:

Strategy	Example
Using my times tables to work out basic division facts	8 × 7 = 56 so 56 ÷ 8 = 7
Reversibility Change the division problem to a multiplication problem	42 ÷ 7 = 7 × ____ = 42 so 7 × 6 = 42
Place Value Splitting the numbers into parts	96 ÷ 8 = We think of our 8 times (times by 10) tables to help us split the numbers e.g. 80, 160. 80 ÷ 8 = 10 Then we work out how much is left over 96 - 80 = 16 so 16 ÷ 8 = 2 10 + 2 = 12
Halving and halving Halving both the numbers until you can find ÷an easy solution.	112 ÷ 8 = ? 112 ÷ 2 = 56 8 ÷ 2 = 4 56 ÷ 4 = ? 56 ÷ 2 = 28 4 ÷ 2 = 2 28 ÷ 2 = 14
Rounding and Compensating Adding more groups on to make a tidy number then taking off the groups at the end	68 ÷ 4 = we round it up to 80 as that is in the 4 times tables. 80 ÷ 4 = 20 20 - (12÷4= 3) = 20-3 = 17
Long Division