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(b) 32.759 = 3 tens + 2 ones + 7 tenths + 5 hundredths + 9 thousandths
1 1 1
= 3 × 10 + 2 × 1 + 7 × + 5 × + 9 ×
10 100 1000
7 5 9
= 30 + 2 + + +
10 100 1000 3 2 . 7 5 9
Clearly, in 32.759,
9 thousandths = 9
The place value of 3 = 3 tens = 30 1000
5
The place value of 2 = 2 ones = 2 5 hundredths = 100
7
The place value of 7 = 7 tenths = 7 = 0.7 7 tenths = 10
10 2 ones = 2
The place value of 5 = 5 hundredths = 5 = 0.05 3 tens = 30
100

The place value of 9 = 9 thousandths = 9 = 0.009
1000

Get it right!

13.725 - Thirteen point seven hundred twenty five.

13.725 - Thirteen point seven two five.

example 1: Express the following decimals into their expanded forms.

(a) 7.084 (b) 24.267

Solution: (a) 7.084 = 7 ones + 8 hundredths + 4 thousandths
= 7 + 8 + 4
100 1000
= 7 + 0.08 + 0.004

(b) 24.267 = 2 tens + 4 ones + 2 tenths + 6 hundredths + 7 thousandths

= 20 + 4 + 2 + 6 + 7
10 100 1000

= 20 + 4 + 0.2 + 0.06 + 0.007.
example 2: Write the place value of the underline digits in the following decimal numbers.

(a) 3.725 (b) 90.078 (c) 329.25
Solution: (a) 3.725 (b) 90.078 (c) 329.25
2 8
2 hundredths = 8 thousandths = 2 tens = 20
100 1000

Think and Answer
Fill the missing numbers in the blank boxes.
8 9 3
1. 54.89 = 50 + 4 + + 2. 125.382 = 100 + + 5 + + +
100 1000

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