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example 2: Convert the decimals 0.246, 46.8, 5.96, 3.042 into like decimals.

Solution: Clearly, 3.042 has 3 decimal places which is largest. So, every decimal number
must have 3 decimal places. So, add zeros at the right side of the decimal part
of each decimal.
Note
Unlike decimals : 0.246 46.8 5.96 3.042 Putting or removing
↓ ↓ ↓ ↓ zeros at the end of a
decimal number does
Like decimals : 0.246 46.800 5.960 3.042 not change its value.
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

Practice time 5b

1. Identify, which of the following groups are of like decimals.

(a) 0.49, 0.09, 3.06, 15.68 (b) 38.09, 3.806, 4.06, 30.6

(c) 0.656, 2.001, 15.905, 215.812 (d) 5.8, 0.81, 235.056, 45.625
2. Identify, which of the following groups are unlike decimals.

(a) 5.45, 3.51, 16.96, 3.62 (b) 0.32, 0.456, 17.4, 617.561

(c) 116.31, 86.3, 70.09, 78.05 (d) 0.56, 0.605, 12.1, 270.01
3. Identify, which are like decimals in the following:

(a) 7.1, 0.97, 31.4, 39.074, 8.89, 10.1 (b) 24.0, 99.09, 21.470, 3.001, 0.098, 0.1,10
4. Write two equivalent decimals for each.

(a) 0.3 = _______ = _______ (b) 2.5 = _______ = _______

(c) 41.7 = _______ = _______ (d) 6.40 = _______ = _______

(e) 9.700 = _______ = _______ (f) 5.300 = _______ = _______
5. Convert the following unlike decimals into like decimals.

(a) 2.3, 6.87, 2.63, 43.6, 1.264 (b) 5.1, 5.01, 5.001, 40.4, 48.26, 100.143

110 Mathematics-5