Learn how to simplify decimals involving addition and subtraction decimals.
1. Simplify the following.
(a) 25.20 + 94.38 - 45.99
Solution:
Converting into like decimals and solving by using order of operation.
25.20 + 94.38 - 45.99
Step I: Addition
25.20 + 94.38
= 119.58
Step II: Subtraction
119.58 - 45.99
= 73.59
Answers: 73.59
(b) 11.6078 - 0.67 + 0.5
Solution:
Converting into like decimals and solving, we get
11.6078 - 0.6700 + 0.5000
Step I: Subtraction
11.6078 - 0.6700
= 109378
Step II: Addition
10.9378 + 0.5000
= 11.4378
Answers: 11.4378
Word problems to simplify decimals involving addition and subtraction decimals:
2. What must be added to 19.63 to obtain 57.87?
Solution:
Let x be added to 19.63 to obtain 57.87
i.e. 19.63 + x = 57.87
⇒ 19.63 + x - 19.63 = 57.87 - 19.63 (subtract from both sides)
⇒ x = 38.24
Therefore, 38.24 must be added to 19.63 to obtain 57.87.
3. What must be subtracted from 381.6 to obtain 28.88?
Solution:
Let x be subtracted from 381.6 to obtain 28.88
i.e., 381.6 - x = 28.88
⇒ x = 381.6 - 28.88
⇒ x = 352.72
Therefore, 352.72 must be subtracted from 381.60 to obtain 28.88.
● Related Concept
● Decimals
● Conversion of Unlike Decimals to Like Decimals
● Decimal and Fractional Expansion
● Converting Decimals to Fractions
● Converting Fractions to Decimals
● H.C.F. and L.C.M. of Decimals
● Repeating or Recurring Decimal
● BODMAS/PEMDAS Rules - Involving Decimals
● PEMDAS Rules - Involving Integers
● PEMDAS Rules - Involving Decimals
● BODMAS Rules - Involving Integers
● Conversion of Pure Recurring Decimal into Vulgar Fraction
● Conversion of Mixed Recurring Decimals into Vulgar Fractions
● Rounding Decimals to the Nearest Whole Number
● Rounding Decimals to the Nearest Tenths
● Rounding Decimals to the Nearest Hundredths
● 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
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