Simplification in Decimals
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
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Subtraction of Decimal Fractions
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Division of Decimal Fractions by Multiples
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Conversion of fraction to Decimal Fraction
5th Grade Numbers
5th Grade Math Problems
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