Page 84 - Math Skill - 5

82 Maths

The denominator of these fractions are 10, 100 and 1000. These are special types of fractions
called decimal fractions.
3 5 8
We can write = 0.3; = 0.05; = 0.008
10 100 1000
Let’s study the decimal place value chart.

Whole Number Place Decimal Place
Thousands Hundreds Tens Ones Tenths Hundredths Thousandths

1 1 1
(1000) (100) (10) (1)
10 100 1000
6 3 2 1 4 5 6
1 5 7 9 2 3

4 5 6
Here, the number will be 6000 + 300 + 20 + 1 + + + = 6321.456 and
2 3 10 100 1000
1000 + 500 + 70 + 9 + + = 1579.23
10 100
In each case, 6321 and 1579 are whole number parts and 0.456 and 0.23 are the corresponding
decimal parts.

Reading decimal numbers

Follow the given steps to read a decimal number, say 63.12.
Step 1: Read the whole number portion.

Step 2: Read the decimal point as point.
Step 3: Read the digits separately to the right of the decimal point, i.e., 63.12 is read as sixty-

three point one two or it can also be read as sixty-three and twelve-hundredths.

Expanded Form of Decimals
We can expand any decimal in three ways:

™ According to place value ™ In decimal form ™ Fractional form
Let’s understand these through an example—

Let’s Attempt

Example: Write 273.97 in expanded form.

Solution: • Place value form
273.97 = Two hundreds seventy-three point nine seven.

• In decimal form Fact-o-meter

273.97 = 200 + 70 + 3 + 0.9 + 0.07 The digits after the decimal point are
• In fractional form read one-by-one. For example: 18.038
9 7 is read as eighteen point zero three
273.97 = 200 + 70 + 3 + + eight not as eighteen point thirty-eight.
10 100