**Decimal numbers have a dot or point.** This is the first 11-plus Maths quiz on decimal numbers: these are numbers that are not whole numbers, e.g. '5' is a whole number BUT '5.5' is not a whole number: 5.5 = 5 + 0.5. The '.' (dot) is called the decimal point and the numbers to the right of the decimal point (dp) form the decimal part of the number. Here's a handy tip:

- The first number to the right of the dp is in the tenths place position, e.g. 5 in 3.5
- The second number to the right of the dp is in the hundredths place position, e.g. 4 in 3.54
- The third number to the right of the dp is in the thousandths place position, e.g. 7 in 3.547

To get a feel for decimal numbers, play these ten questions and see how you do before moving onto the next one.

1.

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

56.407

56.407

0 is in the tenths place position, 4 is in the hundredths place position, 7 is in the thousandths place position

4 is in the tenths place position, 0 is in the hundredths place position, 7 is in the thousandths place position

7 is in the tenths place position, 4 is in the hundredths place position, 0 is in the thousandths place position

7 is in the tenths place position, 0 is in the hundredths place position, 4 is in the thousandths place position

2.

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

11.186

11.186

6 is in the tenths place position, 8 is in the hundredths place position, 1 is in the thousandths place position

8 is in the tenths place position, 6 is in the hundredths place position, 1 is in the thousandths place position

1 is in the tenths place position, 6 is in the hundredths place position, 8 is in the thousandths place position

1 is in the tenths place position, 8 is in the hundredths place position, 6 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 2 in 3.2

The second number to the right of the dp is in the hundredths place position, e.g. 1 in 3.21

The third number to the right of the dp is in the thousandths place position, e.g. 8 in 3.218

The first number to the right of the dp is in the tenths place position, e.g. 2 in 3.2

The second number to the right of the dp is in the hundredths place position, e.g. 1 in 3.21

The third number to the right of the dp is in the thousandths place position, e.g. 8 in 3.218

3.

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

0.001

0.001

0 is in the tenths place position, 0 is in the hundredths place position, 1 is in the thousandths place position

1 is in the tenths place position, 0 is in the hundredths place position, 0 is in the thousandths place position

0 is in the tenths place position, 1 is in the hundredths place position, 0 is in the thousandths place position

1 is in the tenths place position, 0 is in the hundredths place position, 1 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 8 in 2.8

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 2.89

The third number to the right of the dp is in the thousandths place position, e.g. 1 in 2.891

The first number to the right of the dp is in the tenths place position, e.g. 8 in 2.8

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 2.89

The third number to the right of the dp is in the thousandths place position, e.g. 1 in 2.891

4.

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

124.987

124.987

7 is in the tenths place position, 8 is in the hundredths place position, 9 is in the thousandths place position

7 is in the tenths place position, 9 is in the hundredths place position, 8 is in the thousandths place position

8 is in the tenths place position, 7 is in the hundredths place position, 9 is in the thousandths place position

9 is in the tenths place position, 8 is in the hundredths place position, 7 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 9 in 5.9

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 5.94

The third number to the right of the dp is in the thousandths place position, e.g. 7 in 5.947

The first number to the right of the dp is in the tenths place position, e.g. 9 in 5.9

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 5.94

The third number to the right of the dp is in the thousandths place position, e.g. 7 in 5.947

5.

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

0.246

0.246

6 is in the tenths place position, 4 is in the hundredths place position, 2 is in the thousandths place position

6 is in the tenths place position, 2 is in the hundredths place position, 4 is in the thousandths place position

2 is in the tenths place position, 4 is in the hundredths place position, 6 is in the thousandths place position

4 is in the tenths place position, 6 is in the hundredths place position, 2 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 2 in 4.2

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 4.29

The third number to the right of the dp is in the thousandths place position, e.g. 8 in 4.298

The first number to the right of the dp is in the tenths place position, e.g. 2 in 4.2

The second number to the right of the dp is in the hundredths place position, e.g. 9 in 4.29

The third number to the right of the dp is in the thousandths place position, e.g. 8 in 4.298

6.

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

23.010

23.010

0 is in the tenths place position, 1 is in the hundredths place position, 0 is in the thousandths place position

0 is in the tenths place position, 0 is in the hundredths place position, 1 is in the thousandths place position

1 is in the tenths place position, 0 is in the hundredths place position, 0 is in the thousandths place position

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

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 1 in 9.1

The second number to the right of the dp is in the hundredths place position, e.g. 5 in 9.15

The third number to the right of the dp is in the thousandths place position, e.g. 4 in 9.154

The first number to the right of the dp is in the tenths place position, e.g. 1 in 9.1

The second number to the right of the dp is in the hundredths place position, e.g. 5 in 9.15

The third number to the right of the dp is in the thousandths place position, e.g. 4 in 9.154

7.

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

18.895

18.895

5 is in the tenths place position, 9 is in the hundredths place position, 8 is in the thousandths place position

5 is in the tenths place position, 8 is in the hundredths place position, 9 is in the thousandths place position

9 is in the tenths place position, 8 is in the hundredths place position, 5 is in the thousandths place position

8 is in the tenths place position, 9 is in the hundredths place position, 5 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 5 in 7.5

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 7.54

The third number to the right of the dp is in the thousandths place position, e.g. 9 in 7.549

The first number to the right of the dp is in the tenths place position, e.g. 5 in 7.5

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 7.54

The third number to the right of the dp is in the thousandths place position, e.g. 9 in 7.549

8.

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

1.970

1.970

9 is in the tenths place position, 0 is in the hundredths place position, 7 is in the thousandths place position

7 is in the tenths place position, 9 is in the hundredths place position, 0 is in the thousandths place position

0 is in the tenths place position, 7 is in the hundredths place position, 9 is in the thousandths place position

9 is in the tenths place position, 7 is in the hundredths place position, 0 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 8 in 7.8

The second number to the right of the dp is in the hundredths place position, e.g. 6 in 7.86

The third number to the right of the dp is in the thousandths place position, e.g. 3 in 7.863

The first number to the right of the dp is in the tenths place position, e.g. 8 in 7.8

The second number to the right of the dp is in the hundredths place position, e.g. 6 in 7.86

The third number to the right of the dp is in the thousandths place position, e.g. 3 in 7.863

9.

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

12.056

12.056

5 is in the tenths place position, 6 is in the hundredths place position, 0 is in the thousandths place position

0 is in the tenths place position, 5 is in the hundredths place position, 6 is in the thousandths place position

6 is in the tenths place position, 5 is in the hundredths place position, 0 is in the thousandths place position

5 is in the tenths place position, 0 is in the hundredths place position, 6 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 1 in 8.1

The second number to the right of the dp is in the hundredths place position, e.g. 7 in 8.17

The third number to the right of the dp is in the thousandths place position, e.g. 6 in 8.176

The first number to the right of the dp is in the tenths place position, e.g. 1 in 8.1

The second number to the right of the dp is in the hundredths place position, e.g. 7 in 8.17

The third number to the right of the dp is in the thousandths place position, e.g. 6 in 8.176

10.

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

2.34

2.34

4 is in the tenths place position, 3 is in the hundredths place position, nothing is in the thousandths place position

nothing is in the tenths place position, 3 is in the hundredths place position, 4 is in the thousandths place position

3 is in the tenths place position, 4 is in the hundredths place position, nothing is in the thousandths place position

3 is in the tenths place position, nothing is in the hundredths place position, 4 is in the thousandths place position

TIP:

The first number to the right of the dp is in the tenths place position, e.g. 5 in 3.5

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 3.54

The third number to the right of the dp is in the thousandths place position, e.g. 7 in 3.547

The first number to the right of the dp is in the tenths place position, e.g. 5 in 3.5

The second number to the right of the dp is in the hundredths place position, e.g. 4 in 3.54

The third number to the right of the dp is in the thousandths place position, e.g. 7 in 3.547

The first number to the right of the dp is in the tenths place position, e.g. 6 in 1.6

The second number to the right of the dp is in the hundredths place position, e.g. 2 in 1.62

The third number to the right of the dp is in the thousandths place position, e.g. 9 in 1.629