Like 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, 3.156 has 3 digits on the right of the decimal point, so it has 3 decimal places.
All decimal numbers having the same number of decimal places are called like decimals. For example, 21.2, 1.5 and 105.6 are like decimals.
Definition of Like Decimal:
Two or more decimal fractions are called like decimals if they have equal number of decimal places. However the number of digits in the integral part does not matter.
0.43, 10.41, 183.42, 1.81, 0.31 are all like fractions because they all have 2 decimal places. But 74.18 and 74.193 are not like decimals as 74.18 has two decimal places and 74.193 have three places of decimal.
Let us consider some of the following examples;
(i) 1.12, 0.45, 15.65 and 110.01 are all like decimal fractions because they all have 2 decimal places.
(ii) 21.1, 710.2, 1.6 and 100.1 are all like decimal fractions because they all have 1 decimal place.
(iii) 1.117, 61.009, 477.015 and 1201.001 are all like decimal fractions because they all have 3 decimal places.
(iv) 33.333, 34.001, 89.435 and 41.009 are all like fractions because they all have 3 decimal places.
1. Convert the following into like decimals:
(a) 0.91; 10.819; 89.637; 142.8
Solution:
0.910; 10.819; 89.637; 142.800
(b) 12.01; 180.3; 1446.105; 180.19
Solution:
12.010; 180.300; 1446.105; 180.190
(c) 15.13; 2196.1; 18.3; 0.1
Solution:
15.13; 2196.10; 18.30; 0.10
(d) 80.12; 41; 92.1; 1896
Solution:
80.12; 41.00; 92.10; 1896.00
(e) 33.3; 34.01; 89.435; 41.02
Solution:
33.300; 34.010; 89.435; 41.020
(f) 43.04; 94.3; 101.432
Solution:
43.040; 94.300; 101.432
(g) 183.183; 341.43; 800.0084
Solution:
183.1830; 341.4300; 800.0084
(h) 1.04; 14.4; 144.43; 1444.433
Solution:
1.040; 14.400; 144.430; 1444.433
2. Choose the correct pair of like decimals:
(i) 37, 2.08
(ii) 15.15, 3.07
(iii) 8.235, 128.001
(iv) 6.7, 805.16
(v) 3.90, 184.22
Solution:
Correct pair of like decimals are: (ii) 15.15, 3.07; (iii) 8.235, 128.001 and (v) 3.90, 184.22.
● Decimal.
Expanded form of Decimal Fractions.
Changing Unlike to Like Decimal Fractions.
Comparison of Decimal Fractions.
Conversion of a Decimal Fraction into a Fractional Number.
Conversion of Fractions to Decimals Numbers.
Addition of Decimal Fractions.
Problems on Addition of Decimal Fractions
Subtraction of Decimal Fractions.
Problems on Subtraction of Decimal Fractions
Multiplication of a Decimal Numbers.
Multiplication of a Decimal by a Decimal.
Properties of Multiplication of Decimal Numbers.
Problems on Multiplication of Decimal Fractions
Division of a Decimal by a Whole Number.
Division of Decimal Fractions by Multiples.
Division of a Decimal by a Decimal.
Division of a whole number by a Decimal.
Properties of Division of Decimal Numbers
Problems on Division of Decimal Fractions
Conversion of fraction to Decimal Fraction.
5th Grade Math Problems
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