Multiplication Multiplication methodsmethods

MultiplyingMultiplying Multiplication is mainly taught in three ways - the grid method, Chinese Multiplication is mainly taught in three ways - the grid method, Chinese

multiplication and traditional column method.multiplication and traditional column method.

The The Grid MethodGrid Method involves breaking the number up into hundreds, tens, involves breaking the number up into hundreds, tens, units etc. Multiplying them together and then adding the answers.units etc. Multiplying them together and then adding the answers.

E.g. : 34 x 65 Break the 34 into 30 and 4, 30

4similarly break 65 into 60 and 5

60 5

Next…..Next…..…. multiply the numbers together( e.g. 30 x 60 = 1800)

3 x 6 = 18, then add 2 zeros

30 4

60 1800

240

5 150 20

finally add the answers

1 8 0 0

2 4 0

1 5 0

1 1 2 0

2 2 1 0

Chinese multiplicationChinese multiplication is set out similarly to is set out similarly to the grid method but it has the bonus of never the grid method but it has the bonus of never having to multiply numbers higher than 9x9.having to multiply numbers higher than 9x9.

3 4

6

5

E.g. 34 x 65

Multiply the numbers together, placing

the tens above the diagonal line andunits underneath.

3 4

61

8

1 5

2

0

4

5

2

Next…..Next…..…... add together the numbers on the diagonals.

61

8

15

2

0

4

5

2

3 4

0

2 1

12

1

So, 34 x 65 = 2210

Or the more traditional Or the more traditional column methodcolumn method can be usedcan be used

First multiply the 34 by 5 3 4

x 6 5 1 7 0

Then multiply the 34 by 60, this can be done by adding a 0 and multiplying by 6

3 4 x 6 5

1 7 0 2 0 4 0

Finally add the two answers 3 4

x 6 5 1 7 0

+ 2 0 4 0 2 2 1 0