Simplification in decimals can be done with the help of PEMDAS Rule.
PEMDAS Rule Table
From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from left to right doing either "Multiplication" or "Division" as we find them in the question.
Then from left to right doing either "Addition" or "Subtraction" as we find them we need to solve them accordingly.
Let us consider some of the examples on simplification in decimals:
1. Solve 5.8 – 2.7 + 1.4 – 1.6
Solution:
We first group the numbers having same signs and then add them. Subtract the sum of the numbers with – sign from the sum of the numbers with + sign.
First step: Add 5.8, 1.4 and 2.7 and 1.6
Second step: Now subtract 4.3 from 7.2
Hence, 5.8 – 2.7 + 1.4 – 1.6 = 2.9
2. 4.5 + 3.7 – 3.6 ÷ 1.2
Solution:
4.5 + 3.7 – 3.6 ÷ 1.2
= 4.5 + 3.7 – 3.0
= 8.2 – 3.0
= 5.2
Answers: 5.2
3. 3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{1}{5}\) + (1 - 0.8) }
Solution:
3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{1}{5}\) + (1 - 0.8) }
3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{1}{5}\) + 1 - 0.8}
= 3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{1 + 5 - 4.0}{5}\)}
= 3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{6 - 4}{5}\)}
= 3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - {\(\frac{2}{5}\)}
= 3 ÷ 16 + 1.2 × \(\frac{1}{4}\) - \(\frac{2}{5}\)
= \(\frac{3}{16}\) + \(\frac{1.2}{4}\) – \(\frac{2}{5}\)
= \(\frac{15 + 24 - 32}{80}\)
= \(\frac{7}{80}\)
= 0.0875
Answers: 0.0875
● 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
Subtraction of Decimal Fractions
Multiplication of a Decimal Numbers
Multiplication of a Decimal by a Decimal
Properties of Multiplication of Decimal Numbers
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
Conversion of fraction to Decimal Fraction
5th Grade Numbers
5th Grade Math Problems
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