Like and Unlike Decimals

Concept of Like and Unlike Decimals:

Decimals having the same number of decimal places are called like decimals i.e., decimals having the same number of digits on the right of the decimal point are known as like decimals. Otherwise, decimals not having the same number of digits on the right of the decimal point are unlike decimals. 

Examples on Like and Unlike Decimals:

5.45, 17.04, 272.89, etc. are like decimals as all these decimal numbers are written up to 2 places of decimal.

7.5, 23.16, 31.054, etc. are unlike decimals. As in 7.5 has one decimal place.  23.16 has two decimal places. 31.054 has three decimal places

Note:

If we put any number of annexing zeroes on the right side of the extreme right digit of the decimal part of a number does not alter the value of the number. So, unlike decimals can always be converted into like decimals by annexing required number of zeros on the right side of the extreme right digit in the decimal part. 

For example; 

9.3, 17.45, 38.105 are unlike decimals. These decimals can be re-written as 9.300, 17.450, 38.105 so now, these are like decimals.

Suppose 0. 1 = 0. 10 = 0. 100 etc, 0.5 = 0.50 = 0.500 etc, and so on. That is by annexing zeros on the right side of the extreme right digit of the decimal part of a number does not alter the value of the number.

Unlike decimals may be converted into like decimals by annexing the requisite number of zeros on the right side of the extreme right digit in the decimal part.

Definition of Like Decimals:

Two or more decimals having the same number of decimal place are called like decimals.

For example, 0.7, 3.5, 6.1 etc, are a set of like decimals each having 1 decimal place and 2.15, 0.78, 26.11 etc, are like decimals each having 2 decimal places.

Definition of Unlike Decimals:

Two or more decimals having different number of decimal places are called unlike decimals.

For example, 0.8, 4.53, 9.763, 17.856 etc, are unlike decimals.

REMEMBER

The addition of zeros to the extreme right of a decimal part does not change the value of the decimal number, i.e., 2.5 = 2.50 = 2.500 = 2.5000

Such decimals are called equivalent but unlike decimals. Thus, without changing the value of a decimals number, the number of decimal places can be increased simply by adding required number of zeros to extreme right of its decimal part.

● Related Concept

● Decimals

● Decimal Numbers

● Decimal Fractions

● Like and Unlike Decimals

● Comparing Decimals

● Decimal Places

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Terminating Decimal

● Non-Terminating Decimal

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● Pure Recurring Decimal

● Mixed Recurring Decimal

● BODMAS Rule

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● PEMDAS Rule

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Simplification of Decimal

● Rounding Decimals

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Round a Decimal

● Adding Decimals

● Subtracting Decimals

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number

7th Grade Math Problems

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