Page 58 - SM Class 5 Inner.cdr

Position of the point = 2 + 2 = 3rd from the right
52
= .052 read as point zero five two.
1000

92642
= 92.642 read as ninety two point six four two.
1000

Mixed fractions can be written as decimal as shown below :

4 134 36 236 284 7284
13 = = 13.4, 2 = = 2.36, 7 = = 7.284
10 10 100 100 1000 1000

Place value of Decimals

The value of each digit in a number depends upon the place it holds (occupies) on
the place value chart.

Let us take some example of decimal numbers and the place value of the digits in
the number.

Example 1 : Write place values of each digit : 172.3 Example 2 : Write place values of each digit : 368.004
3 4
1 7 2 . 3 3 tenths or 3 6 8 . 0 0 4 4 thousandths or
10 1000
2 ones or 2 0 hundredths 0
7 tens or 70 0 tenths or 0

1 hundred or 100 8 ones or 8
6 tens or 60
3 hundred or 300

Expended form of decimals

Example 3 :

(a) 473.2 = 4 hun dreds + 7 tens + 3 ones + 2 tenths
2
= 400 + 70 + 3 +
10
(b) 5436.74 = 5 thou sands + 4 hun dreds + 3 tens + 6 ones + 7 tenths + 4 hun dredths
7 4
= 5000 + 400 + 30 + 6 + +
10 100
(c) 8479.105 = 8 thou sands + 4 hun dreds + 7 tens + 9 ones + 1 tenths + 0 hun dredths + 5 thou sandths
1 0 5
= 8000 + 400 + 70 + 9 + + +
10 100 1000

A decimal number can be expanded in three ways – place value form, decimal

form and fraction from.

From example, we can expand 8.57 as follows.

1. Place value form: 8.57 = 8 ones + 5 tenths + 7 hundredths

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Mathematics In Focus - 5