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2 8 3 4 8
(c) 700 + 4 + + (d) 5000 + 80 + 5 + + +
100 1000 10 100 1000
7 8
(e) 4000 + 800 + +
100 1000
(f ) 9 hundreds + 8 ones + 9 tenths + 3 hundredths

(g) 6 thousands + 8 tens + 3 ones + 9 thousandths

EQUIVALENT DECIMALS

Decimal numbers having the same value are called equivalent decimals.

Let us take a square paper sheet and divide it into 10 equal strips. Shade 3 strips which
represent 3 tenths, i.e., 0.3.
Now, again divide the 10 strips by 10 vertical
divisions. Now, it shows 100 equal divisions and the
shaded part represents 30 hundredths, i.e., 0.30.
=
As we see that decimal numbers 0.3 and 0.30 have
same value because both represent the same shaded
portion. So, 0.3 and 0.30 are equivalent decimals. 3 tenths = 0.3 = 30 hundredths = 0.30

LIKE AND UNLIKE DECIMALS

Like Decimals

Decimals having the same number of decimal places are called like decimals.

Example:
(a) 0.9, 8.6, 11.5, 354.7 are like decimals as they have one decimal place.

(b) 0.47, 3.73, 21.40, 327.00 are like decimals as they have two decimal places.
(c) 8.109, 3.756, 92.480, 381.700 are like decimals as they have three decimal places.

Unlike Decimals

Decimals having different number of decimal places are called unlike decimals.

Example: 0.64, 26.8 and 124.568 are unlike decimals as they have different number of
decimal places.
Example 1: Identify the different group of like decimals in the following:

0.05, 0.14, 12.1, 9.9, 2.145, 6.51, 2.294
Solution: 0.05, 0.14, 6.51 have 2 decimal places.

So, it is a group of like decimals.
Similarly, 12.1 and 9.9 have 1 decimal place.
So, it is a group of like decimals.

Again, 2.145 and 2.294 have 3 decimal places.
So, it is another group of like decimals.

110 Mathematics-5