Multiplying large numbers by splitting

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Multiplying large numbers by splitting

Created by: Sabrina Edmondson

Adapted from BBC online

Multiplying large numbers by splitting

Have a look at the following equation:

255 x 5

Multiplying large numbers by splitting

First split the number into hundreds, tens and ones.

255 splits into 200, 50 and 5

Multiplying large numbers by splitting

Then, multiply each of the numbers by 5.

5 x 200 = 1 000

5 x 50 = 250

5 x 5 = 25

Multiplying large numbers by splitting

This method can be represented in a grid, as shown below.

Multiplying large numbers by splitting

Finally, add the three numbers together to get your answer.

+ +

Multiplying large numbers by splitting

So 255 x 5 = 1,275

Remember : check the answer by doing the opposite!

1,275 ÷ 5 = 255

Multiplying large numbers by splitting

Now have a look at this equation:

255 x 25

Multiplying large numbers by splitting

First split the number into hundreds, tens and ones.

255 splits into 200, 50 and 5 (these go along the top)

25 splits into 20 and 5 (these go along the sides)

Multiplying large numbers by splitting

Then, multiply each number in the column by each number in the row.

Have a look at the grid below.

Multiplying large numbers by splitting

Add up each column, then add the resulting numbers together.

+ +

Multiplying large numbers by splitting

So 255 x 25 = 6,375

Remember : check the answer by doing the opposite!

6,375 ÷ 25 = 255

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