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Evaluate the expression: –32 – (–52) – (15 – 33)

2 Answers

4 votes

Answer:

38

Explanation:

User Richie Cotton
by
7.9k points
4 votes

Answer: The correct answer is: " 38 " .

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Explanation:

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We are given the following expression:

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–32 – (–52) – (15 – 33) ;

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Let us begin by consider the expression given in parentheses:

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" (15 – 33) " ; Note that: " 15 – 33 = - 18 " ;

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Now, let us rewrite the entire given expression—substituting "(-18)" for:

"(15 – 33)" ; as follows:

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" –32 – (–52) – (-18) " ;

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Now, this is an entire expression on its own, i.e. there is no expression contained within this expression. The operations are only subtraction; so we can work from "left to right" in terms of simplifying this expression.

As such: Let us being with:

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" –32 – (–52) " ;

Note that "subtracting a 'negative value' is the same as "adding that particular value's positive counterpart" ;

As such:

" –32 – (–52) =

–32 + (⁺52) =

–32 + 52 =

52 + (-32) = ?

Note that adding a "negative value" is the same as "subtracting that value's positive counterpart" ;

As such: " 52 + (-32) = 52 – 32 = 20 " :

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Now, we can rewrite the expression:

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" 20 – (-18) " ;

Note that subtracting a "negative value" is the same as "adding that value's positive counterpart" :

As such: " 20 – (-18) = 20 + (⁺18) = 20 + 18 = 38 .

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The correct answer is: " 38 " .

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Hope this is helpful to you!

Best wishes in your academic pursuits—

and within the "Brainly" community!

_____________________

User Vburojevic
by
7.9k points

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