Page 98 - ICSE Math 5

Let’s observe the place value chart of decimal numbers, 62.54 and 231.753, given below.
Ten Tenths Hundredths Thousandths
Places Thousands Thousands Hundreds Tens Ones (t) (h) (th)
Values  (TTh) (Th) (H) (T) (O) . 1 1 1
(10,000) (1,000) (100) (10) (1) 10 100 1000
62.54 6 2 . 5 4
231.753 2 3 1 . 7 5 3
Whole number part Decimal part

Now, let’s write the place value of each digit in the decimal number 231.753.
Place value of 2 is 2 hundreds, i.e., 200. Place value of 3 is 3 tens, i.e., 30.
7
Place value of 1 is 1 one, i.e., 1. Place value of 7 is 7 tenths, i.e., .
10
5 3
Place value of 5 is 5 hundredths, i.e., . Place value of 3 is 3 thousandths, i.e., .
100 1000
1
When we divide one whole into ten equal parts, each part is called or one-tenth of the whole.
10
Thus, 1 one = 10 tenths.

1
One-tenth = = 0.1
10
1
We can write the fraction as 0.1 in the decimal form and read it as zero point one.
10
4 7
Similarly, = 0.4, = 0.7, and so on.
10 10
1
If each or one-tenth part of a fraction is further divided into 10 equal parts, then each part
10
1 1 1
would be × = or one-hundredth. Thus, 1 tenth = 10 hundredths.
10 10 100

1 1 1
One-hundredth = of = = 0.01
10 10 100
1
We can write the fraction as 0.01 in the decimal form and read it as zero point zero one.
100
25 9
Similarly, = 0.25, = 0.09, and so on.
100 100
1
If each or one-hundredth part of a fraction is further divided into 10 equal parts, then each
100
1 1 1
part would be × = or one-thousandth. Thus, 1 hundredth = 10 thousandths.
10 100 1000

1 1 1
One-thousandth = of = = 0.001
10 100 1000
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