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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.

1.

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

2.

What needs to be added to 45.612 to make 45.682?

7

0.7

0.007

0.07

The 1 and the 8 are both in the hundredths column so ^{7}⁄_{100} or 0.07 must be added

3.

Which digit is a place holder?

0

1

2

9

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

4.

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...

5.

Which is the smallest of these numbers?

45 tenths

45 tens

45 hundredths

45 units

45 hundredths is equal to 0.45

6.

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

7.

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

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}