Page 89 - Math Skill - 4

Decimals 87

We write it in decimal form as ‘3.43’. We read it as ‘three point four three’.

17 3 143
Similarly, 12 = 12 17 4. ; = 43 183.; = 183 143.
100 10 1000

Decimal Fractions in Place Value Chart

We have learnt that in a place value chart, as we shift to the left, the place value increases by

(× 10). In decimal fractions, as we move towards right, the value of the digit becomes 1 of its
value at the preceding place. 10

Now, look at the chart below.

Ten thousands Thousands Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths

10000 1000 100 10 1 . 1 or 0.1 1 or 0.01 1 or 0.001
10 100 1000

Decimals in Expanded Form
Let us take a decimal fraction 274.195. Arranging it in place value chart, we get:

Hundreds Tens Ones Decimal Point Tenths Hundredths Thousandths

2 7 4 . 1 9 5

Thus, expanded form of 274.195 = 200 + 70 + 4 + 1 + 9 + 5
10 100 1000
Like and Unlike Decimals Fact-o-meter

Decimals having the same number of digits after the decimal We can convert an unlike
point are called like decimals. decimal into the like
decimal by adding zeros to
If the number of digits after the decimal point are not the the right of decimal point.
same, then the decimals are called as unlike decimals.

Like Decimals Unlike Decimals

0.253, 2.347, 7.123, 4.005 0.2, 0.003, 3.516, 4.0032

Absorbing Facts
Zero at the end of a decimal number do not change its value. For example, 2.5 and 3.345 are unlike decimals
but 2.500 and 3.345 are like decimals. Here, 2.5 = 2.500