Question

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

$(17 +36 ) +13$

Short answer

$(17+36)+13 = 63$.

Step-by-step solution

Step-1 – What are real numbers? 

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

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

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:

$\begin{array}{l}(17+36)+13\\ 17+(36+13)(\text{AssociativePropertyofAddition)}\\ \text{17+49=}63\end{array}$

$(17+36)+13 = 63$