Simplify Decimals Involving
Addition and Subtraction Decimals

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

Simplify Decimals





= 119.58

Step II: Subtraction

119.58 - 45.99

Subtraction Decimals





= 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

Subtraction Decimals Problem





= 109378

Step II: Addition

10.9378 + 0.5000

Addition Decimals





= 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

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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