By the time children have reached Year Six in KS2, they should be quite comfortable when dealing with place values in Maths. By now they should be well aware of how the values of digits change depending on their position in a number, and know their equivalent values. They should also know the positions after a decimal point - tenths, hundredths and thousandths. They will now be introduced to place holders and should know how the position of a decimal point, and the position of digits, move when multiplied or divided by 10, 100 or 1,000.

We know the value of a digit changes with its position in a number relative to the decimal point. Before the decimal we have units, tens and hundreds, and after we have tenths, hundredths and thousandths. We also use place holders. Zeros at the end of a number are place holders. They come after another number, a 1 for example, to show whether it is worth 10, 100 or 1,000.

Take this quiz to discover what you know about place value. This quiz is intended for children aged 10-11.

1.

What needs to be added to 45.612 to make 45.682?

7

0.7

0.007

0.07

2.

When 24,597 is multiplied by 100, what will we get?

245.97

245,970

2,459.7

2,459,700

To multiply by 100 move the decimal point two places to the right or the numbers two places to the left

3.

What does the digit 3 in 62.13 represent?

3 hundredths

3 tenths

3 units

3 tens

Numbers to the right of a decimal point represent 10^{ths} 100^{ths} 1,000^{ths} 10,000^{ths} etc...

4.

When we multiply a digit by ten what should we move?

We should move the digits one place to the left

We should move the digits one place to the right

We should move the digits ten places to the left

We should move the digits ten places to the right

So 300 x 10 = 3,000

5.

When 59,762 is divided by 10, what will we get?

59,7620

5,976.00

5,976.2

5,976,200

To divide by 10 move the decimal point one place to the left or the numbers one place to the right

6.

Which is the smallest of these numbers?

45 tenths

45 tens

45 hundredths

45 units

45 hundredths is equal to 0.45

7.

Which digit is a place holder?

0

1

2

9

0s at the start or end of a number are place holders

8.

When we divide a number by one hundred what should we move?

We should move the digits one place to the left

We should move the digits one place to the right

We should move the digits two places to the left

We should move the digits two places to the right

So 300 divided by 100 = 3

9.

Which is the number that is equivalent to one hundred and forty two point eight seven?

14287

142.87

1,428.7

142,087

142.87 has 1 hundred

4 tens

2 units

8 tenths

and 7 hundredths

4 tens

2 units

8 tenths

and 7 hundredths

10.

What is the value of the digit 9 in 128.96?

9 hundredths

9 tenths

9 units

9 tens

The first column after the decimal point is tenths so the 9 = ^{9}⁄_{10}

^{7}⁄_{100}or 0.07 must be added