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

25.20 + 94.38

= 119.58

Step II: Subtraction

119.58 - 45.99

= 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

10.9378 + 0.5000

= 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.

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