Unlike Decimal Fractions

Unlike decimal fractions are discussed here.

We have learnt that the number of digits on the right of the decimal point tells us the number of decimal places in the given number. For example, 5.127 has 3 digits on the right of the decimal point, so it has 3 decimal places.

Decimal numbers having different number of decimal places are called unlike decimals. For example, 15.6, 15.06 and 15.106 are unlike decimals.

Definition of Unlike Decimals:

Two or more decimal fractions are called unlike decimals if they have unequal numbers of decimal places.

Let us consider some of the unlike decimals;

(i) 8.4, 8.41, 8.412

In 8.4, 8.41, 8.412 the number of decimal places are 1, 2 and 3.

(ii) 80.41, 182.415

In 80.41, 182.415 the number of decimal places are 2 and 3.

(iii) 0.129, 0.12, 0.1

In 0.129, 0.12, 0.1 the number of decimal places are 3, 2 and 1.

(iv) 1.0015, 0.001, 0.1

In 1.0015, 0.001, 0.1 the number of decimal places are 4, 3 and 1.

(v) 1.45, 32.001, 110.1

In 1.45, 32.001, 110.1 the number of decimal places are 2, 3 and 1.

(vi) 111.67, 160.9, 110.101

In 111.67, 160.9, 110.101 the number of decimal places are 2, 1 and 3.

We can convert set of unlike decimals into a set of like decimals or equivalent decimals by placing zeroes on the right of the decimal part. For example, to make 3.01 and 3.4 like decimals we put one zero to the right of the decimal part of 3.4 and write as 3.40. Now, both decimal numbers have two decimal places.

$Unlike Decimal Fractions$

(vii) 0.1, 0.10, 0.100 are equivalent but unlike decimals, therefore unlike decimals may or may not be equivalent decimals.

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