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The place value chart for a decimal number is as follows.

Hundreds Tens Ones Decimal Tenths Hundredths Thousandths
(100) (10) (1) (.)  1   1   1 



 10  100  1000



8 6 3 . 2 6 7
In the above place value chart the digit 8 in the hundreds place shows 8 × 100 = 800
The digit 6 in the tens place shows 6 × 10 = 60
The digit 3 in the ones place shows 3 × 1 = 3

1 2
The digit 2 in the tenths place shows 2 × = = 0.2 FACTS
10 10 We do not read and write the
1 6 digits in words at the right of
The digit 6 in the hundredths place shows 6 × = = 0.06
100 100 the decimal point together as
1 7 we do in place value system.
The digit 7 in the thousandths place shows 7 × = = 0.007
1000 1000

Therefore, the number represented in the place value chart is 863.267.
It is read as ‘Eight hundred sixty-three point two six and seven’.
Example 10: Write the following decimal numbers in words. Also, Express them in their
expanded form.
(a) 45.71 (b) 121.108 (c) 5414.047

Solution: (a) 45.71 = Forty-five point seven one
7 1
Expanded form: 45.71 = 40 5++ +
10 100
(b) 121.108 = One hundred twenty-one point one zero eight
1 8
Expanded form: 121.108 = 100 20 1+ + + +
10 1000
(c) 5414.047 = Five thousand four hundred fourteen point zero four seven
4 7
Expanded form: 5414.047 = 5000 400 10 4+ + ++ +
100 1000
Like and Unlike Decimals

Like Decimals
Decimals that have the same number of digits after the decimal point are called like decimals.
For example: 3.2, 6.9, 4.3, 5.5; 5.31, 27.89, 96.41, 45.17 are sets of like decimals.

Unlike Decimals
Decimals that have the different number of digits after the decimal point are called unlike decimals.

For example: 12.03, 5.2, and 8.362 have different digits after the decimal point, so they are
considered as unlike decimals.
To convert the unlike decimals into like decimals, first identify Extra zeros put at the end
the decimal number having the maximum number of decimal Note: of a decimal number do
places. Then put zeros at the right side of the decimal part of not change its value. For
the remaining decimal numbers. example: 2.6 = 2.60 = 2.600

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