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Decimal numbers contain decimal points, on the left of which are units and on the right tenths, hundredths and thousandths. We use decimal numbers as an alternative to fractions to describe numbers that are smaller than a unit. For example, the fraction ^{1}⁄_{8} could also be written as 0.125. Here we have 1 tenth, 2 hundredths and 5 thousandths. Decimal numbers make addition, subtraction, multiplication and division of fractions much easier. For this reason we have decimal measurements like meters and kilos which all use tenths, hundredths and thousandths.

1.

Which is the decimal fraction equivalent to nine and two thousandths?

9.002

9.2

9.02

0.092

Units are on the left of the decimal point

2.

Which is a decimal fraction halfway between 6.52 and 6.53?

6.55

6.521

6.525

6.531

There are 10 thousands in a hundredth so half of a hundredth is 5 thousandths

3.

What is 1.23m + 63cm?

1.86m

74.23m

7.53m

186m

Convert the cm into meters and you will have 1.23 + 0.63 giving 1.86m

4.

What is the figure 8 worth in 2.089?

8 units

8 hundredths

8 tenths

8 thousandths

2.089 is 2 units, 0 tenths, 8 hundredths and 9 thousandths

5.

Which is the largest of these numbers?

0.3

0.003

0.033

0.03

6.

How is 0.7 changed to 0.007?

Multiply by 10

Divide by 100

Divide by 10

Multiply by 100

When we divide by 100 we move the digits two places to the right

7.

What does the digit 1 represent in 0.251?

1 tenth

1 thousandth

1 unit

1 hundredth

Remember - tenths, hundredths, thousandths

8.

What is the next number in the sequence 0.007, 0.008, 0.009?

0.001

0.1

0.01

1

The numbers are going up by 0.001, or ^{1}⁄_{1,000} every time

9.

How is 0.023 changed to 0.23?

Multiply by 10

Divide by 100

Divide by 10

Multiply by 100

When we multiply by 10 the digits move one place to the left

10.

Which is the smallest of these numbers?

0.001

0.1

0.01

0.011

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