Page 102 - ICSE Math 5

For example, 0.29, 1.1 and 21.349 are unlike decimals as the number of digits after the decimal
point are not equal.
Converting Unlike Decimals to Like Decimals

Example 6: Convert 6.04, 19.217, 30.58 and 716.0028 to like decimals.
Solution: In the given numbers, the maximum number of digits in the decimal part is 4. So,
we need 4 digits in the decimal part of each decimal number to make them like
decimals.
6.04 = 6.0400, 19.217 = 19.2170, 30.58 = 30.5800

So, 6.0400, 19.2170, 30.5800 and 716.0028 are like decimal numbers.
Comparing and Ordering Decimals

To compare two or more decimal numbers, we follow the given steps.
• Convert unlike decimals to like decimals.
• Compare the whole or integral part of the decimal numbers. The decimal number with the
greater whole number is greater.

• If the whole or integral part is the same, then compare the tenths digit of the decimal part.
The decimal number with greater tenths digit is greater.
• If the whole or integral part and the tenths digit of the decimal part are the same, then
compare the hundredths digits.

• If the whole or integral part, the tenths and the hundredths digit of the decimal part are the
same, then compare the thousandths digit.

Example 7: Compare the given decimals.
(a) 0.62 and 0.643 (b) 0.194 and 0.198

Solution: (a) 0.62 and 0.643
Convert 0.62 to like decimals.

0.62 = 0.620
Since the digits at the tenths place of both the decimal numbers are the same,
we compare the digits at the hundredths place.

Since 2 hundredths < 4 hundredths, so 0.620 < 0.643.
(b) 0.194 and 0.198

Since the digits at the tenths and the hundredths place of both the decimal
numbers are the same, we compare the digits at the thousandths place.
Since 4 thousandths < 8 thousandths, so 0.194 < 0.198.

Example 8: Arrange the following decimals in ascending order.
7.284, 7.14, 7.03, 7.9, 7.015
Solution: Convert unlike decimals to like decimals.
7.14 = 7.140; 7.03 = 7.030; 7.9 = 7.900

So, we have 7.284, 7.140, 7.030, 7.900 and 7.015.

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