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

= 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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