1. Multiplication Methods Leicestershire County Council
Pauline Kilbride
Leicestershire County Council

2. Topic Aims Method Equipment Duration Level Hidden
Multiplication Methods
Aims
To highlight a range of multiplication methods
A hand-out at the end of the topic or an introduction to each method
May use only the grid method as this will be used in Primary School
Level
Key Stage 2
Method
Hand out at the end of the topic. Useful for revision.
Equipment
Hand-outs
Duration
Hidden

3. Multiplication Methods x 100 20 3 60 6000 1200 180 9 900 27 6900 1380
Grid Method
This involves breaking the number down into its constituent parts and multiplying these together. It is a useful method because it reinforces place value.
123 x 69 x
100 20 3 60
6000
1200
180 9
900 27
6900
1380
207
= 8487
To Print
2766 x 476 x
2000
700 60 6
400
800000
280000
24000
2400 70
140000
49000
4200
420
12000
360 36
952000
333200
28560
2856 =

4. Multiplication Methods 1793 x 943 x 1000 700 90 3 900 900000 630000
81000
2700 40
40000
28000
3600
120
3000
2100
270 9
943000
660100
84870
2829 =
To Print

5. Multiplication Methods Doubling Method
This involves starting with 1 x ? and doubling both sides of the sum until you have sufficient lots of the number to solve the sum. It is useful because children learn to double numbers from an early stage and become very confident in this.
17 x 250
1 x 250 = 250
2 x 250 = 500
4 x 250 = 1000
8 x 250 = 2000
16 x 250 = 4000
There is no need to go any further as doubling 16 is more than I need.
1 x 250 = 250
x 250 = 4000
17 x 250 = 4250
35 x 122
1 x = x = 122
2 x = x = 244
4 x = x = 3904
8 x = x = 4270
16 x = 1952
32 x = 3904
To Print

6. Multiplication Methods 1 7 2 3 4 6 9 8 5 Lattice Method 1723 x 2947
1723 x 2947 1 7 2 3 4 6 9 8 5
To Print
Answer
Blue figures are carried forward  

7. Multiplication Methods Russian Peasant Method 27 x 133
27 x 133
Half one side and double the other until the side being halved reaches zero.
27 – 133
13 – 266 (if a number does not half to give a whole number round down to the next whole number)
6 – 532
3 – 1064
1 – 2128
Add up all the answers where the halved number was an odd number.
= 3591
48 x 125
48 – 125
24 – 250
12 – 500
6 – 1000
3 – 2000
1 – 4000
= 6000
To Print

8. For further information please contact The STEM Alliance or visit