Welcome to the third in our Easy section of Eleven Plus maths quizzes on decimal numbers. In it we look in particular at the value of those digits placed after the decimal point. You know that, in whole numbers, the columns read right to left are for units, tens, hundreds, thousands etc. Well. In decimal numbers, it’s almost the same, but with no ‘units’ column - and in reverse!

Perhaps this will help make it clearer:

- First column after decimal point = tenths
- Second column after decimal point = hundredths
- Third column after decimal point = thousandths
- Fourth column after decimal point = ten-thousandths

The fractions get smaller and smaller as you read left to right.

Have a go at this quiz and see how well you understand decimals. Once you get all questions right first time, why not move on to our next quiz for more of a challenge!

1.

What is the value of the 2 in the number 101.942?

2 thousandths

2 hundredths

2 tenths

2 ten-thousandths

The third column after the decimal point represents thousandths, not hundredths

2.

Which digit in the number below is the same as 10 thousandths?

98,765.312

98,765.312

The one

The nine

The two

The eight

10 thousandths are the same as one-hundredth, and would be shown in decimal as 0.01

3.

What are the place positions of the numbers in the decimal parts of the numbers given?

3,101.028

3,101.028

8 is in the tenths place position, 2 is in the hundredths place position, 0 is in the thousandths place position

2 is in the tenths place position, 8 is in the hundredths place position, 0 is in the thousandths place position

8 is in the tenths place position, 0 is in the hundredths place position, 2 is in the thousandths place position

0 is in the tenths place position, 2 is in the hundredths place position, 8 is in the thousandths place position

Decimal numbers are in columns just like ordinary numbers - but backwards! Thousands, hundreds, tens, units, tenths, hundredths, thousandths

4.

What are the place positions of the numbers in the decimal parts of the numbers given?

106.275

106.275

2 is in the tenths place position, 7 is in the hundredths place position, 5 is in the thousandths place position

7 is in the tenths place position, 5 is in the hundredths place position, 2 is in the thousandths place position

5 is in the tenths place position, 7 is in the hundredths place position, 2 is in the thousandths place position

2 is in the tenths place position, 5 is in the hundredths place position, 7 is in the thousandths place position

There is no 'units' column after the decimal point - it's tenths first, then hundredths, thousandths etc.

5.

What is one-third represented as a decimal number?

0.3

0.4

0.25

0.333

One-third as a decimal is 1 ÷ 3 = 0.333… the threes are recurring, which means they go on forever!

6.

What is three-thirds represented as a decimal number?

0.999

1

3.333

0.666

Three-thirds make one!

If all the numbers after the decimal point are zeros, then you can leave them out

If all the numbers after the decimal point are zeros, then you can leave them out

7.

What is two-thirds represented as a decimal number?

0.666

0.6

0.667

0.66

One-third as a decimal is 0.333... so two-thirds is 0.333... + 0.333... = 0.666... which we round up to 0.667

8.

What is the value of the 8 in the number 0.872?

8 thousandths

8 hundredths

8 tenths

8 units

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 8 in 0.8

The second number to the right of the dp is in the hundredths place position, e.g. 7 in 0.87

The third number to the right of the dp is in the thousandths place position, e.g. 2 in 0.872

The first number to the right of the dp is in the tenths place position, e.g. 8 in 0.8

The second number to the right of the dp is in the hundredths place position, e.g. 7 in 0.87

The third number to the right of the dp is in the thousandths place position, e.g. 2 in 0.872

9.

What are the place positions of the numbers in the decimal parts of the numbers given?

27.396

27.396

6 is in the tenths place position, 9 is in the hundredths place position, 3 is in the thousandths place position

3 is in the tenths place position, 6 is in the hundredths place position, 9 is in the thousandths place position

3 is in the tenths place position, 9 is in the hundredths place position, 6 is in the thousandths place position

9 is in the tenths place position, 6 is in the hundredths place position, 3 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 3 in 7.3

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 7.39

The third number to the right of the dp is in the thousandths place position, e.g. 6 in 7.396

The first number to the right of the dp is in the tenths place position, e.g. 3 in 7.3

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 7.39

The third number to the right of the dp is in the thousandths place position, e.g. 6 in 7.396

10.

What is the value of the 5 in the number 891.256?

5 thousandths

5 hundredths

5 tenths

50 tenths

Five hundredths are the same as one-twentieth