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In Exercises 1–3, evaluate the expression. Justify each of your steps.

(17 +36 )  +13  

Short Answer

Expert verified

(17+36)+13  =  63.

Step by step solution

01

Step-1 – What are real numbers? 

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

02

Step-2 – Associative Property of Addition of Real Numbers: 

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

03

Step-3 – Evaluate the expression, Justify each of your steps. (17 + 36) +13 

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Name of the property for this equation 4 + (3 + 9) = (4 + 3) + 9 is Associative property of Addition.

According to the above property, we can evaluate the expression:

(17+36)+1317+(36+13)(AssociativePropertyofAddition)17+49=63

(17+36)+13  =  63

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