**Expanded form of decimals**

Recall that a whole number such as
73 486 has 5 digits and the **place value table** for the whole number is as
follows:

In **expanded fractional form**, 72.649 is
written as:

So, 72.649 has seven tens, two units, six tenths, four hundredths and
nine thousandths.

We find from
the place value table of 72.649 that:

·
The digit 6 is in the
first place after the decimal point. So, it represents:

·
The digit 4 is in the
second place after the decimal point. So, it represents:

·
The digit 9 is in the
third place after the decimal point. So, it represents:

In general:

To express the
decimal place value of a number in fractional form, the **position of the
digit** in the number tells us how many zeros are to be added after the 1 in
the denominator.

For example, 3
in the decimal number 94.19547632 is in the 7^{th}
place after the decimal point. So, it represents:

Example 1

Give the place
value of 8 in the following decimal numbers:

a. 0.856

b. 0.384

c. 0.4386

d. 0.16982

*Solution:*

Write each of
the following as a decimal number:

*Solution:*

Write each of
the following numbers in **expanded fractional form**:

*Solution:*

Write each of
the following decimal numbers in words:

*Solution:*

a. 7.3 represents seven units and three tenths.

b. 84.6 represents eight tens, four units and
six tenths.

c. 3.189 represents three units, one tenth,
eight hundredths and nine thousandths.

d. 18.3478 represents one ten, eight units, three tenths, four
hundredths, seven thousandths and eight ten-thousandths.

e. 0.008 represents eight thousandths.

f. 0.000 043 represents four hundred-thousandths and three
millionths.

Convert decimals to fractions |

http://www.mathsisfun.com/converting-decimals-fractions.html |

Like and unlike decimals |

Ordering decimals |