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Multiplication and division involves splitting numbers into parts, or fractions (in the case of division). Some divisions are straightforward, such as dividing 20 bananas between 4 monkeys. Each monkey will get 5 bananas each. Other divisions are not so simple!

Multiplying and dividing can be quite hard with decimals and fractions, but once you know how to go about it it does get easier! To multiply a number by ^{1}⁄_{4}
you divide it by 4. The same is true for decimals: to multiply a number by 0.25 you also divide it by 4.

Test your knowledge of multiplication and division by trying the following quiz on the subject.

1.

Which gives the answer 43?

3 + (5 x 8) =

(3 + 5) x 8 =

3 + 5 x 8 =

(3 + 8) x 5 =

The calculation in the brackets is always done first

2.

Which of these methods would result in finding ^{1}⁄_{6}?

Half one third

Half one quarter

Double one quarter

Double one third

A sixth is half a third

3.

On a calculator the answer to a division is 7.2. How is this interpreted in money?

£72

£7.2

£7.20

£0.72

720p is the same as £7.20

4.

Which strategy would be best to multiply 79 by 21?

Multiply by 10 then subtract 79

Multiply by 20 then add 79

Multiply by 10 then add 79

Multiply by 20 then subtract 79

To simplify it further you could multiply 79 by 2, then by 10 and finally add 79

5.

What is the best method of multiplying 58 by 9?

Multiply by 10 then add 58

Multiply by 5 then add 58

Multiply by 10 then subtract 58

Multiply by 5 then subtract 58

10 is a much easier number to multiply than 9 is

6.

How do we find a third of a number?

Multiply it by 3

Divide it by 6

Multiply it by 6

Divide it by 3

A third means the same as ÷ 3

7.

How can one twentieth be calculated?

Find one tenth and halve

Find one fifth and double

Find one tenth and double

Find one fifth and halve

One twentieth is half of one tenth

8.

What is the best method of multiplying 67 by 50?

Multiply by 100 then halve

Multiply by 100 then double

Multiply by 5 then multiply by 10

Divide by 100 then double

100 and 2 are easier numbers to multiply and divide than 50 is

9.

Which strategy would be best to multiply 42 by 16?

Multiply by 8 then double

Multiply by 4 then double

Divide by 2 then multiply by 8

Divide by 8 then double

If a number in a problem is difficult to work with then try to break it down into easier to deal with numbers

10.

22 ÷ 4 = 5 r 2. What fraction is the remainder 2?

Half

Quarter

Third

Eighth

The remainder can be expressed as ^{2}⁄_{4} or ^{1}⁄_{2}