Here, are illustrations on how to make calculations by using

**Long Multiplication, Multiplication by Chunking and Multiplication by Grid**

Work out the value of 135 x 27

Method 1 -

**Long Multiplication by Chunking**

135

x22

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270 .........multiply 2 x 135

+2700..........put a 0 under 0, then multiply 2 x 135 and add the results

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**2907**

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Method 2 -

**Multiplication by Chunking**

In 135, we have 100 + 30 + 5. Multiply each part by 22

100 x 22 = 2200

30 x 22 = 660...easy mental calculation, if 3 x 22 = 66, 30 x 22= 660

5 x 22 110

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**2970**.......add 2200, 660 and 110 together ...Happy now? :)

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Method 3 -

**Multiplication by Grid**

100 30 5

0 20 2

---------------

0 0 0 ....x 0

2000 600 100 ......x20

200 60 10 ........x2

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2200 660 110 .....add the number down

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**2970**.....................Take the grand total (add across) ......Get it? :( haha!

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Teachers' Note - it is important to use simple methods without diverting from traditional ones. However, introducing an optional method can help others students with difficulty in application of the other.

Students' Note - It is better to know two other methods that one.