Evaluate the expression. Justify each of your steps.

3.$(26+18)+34$

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

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

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:

$\begin{array}{l}(26+18)+34\\ 26+(18+34)(\text{Associative\hspace{0.17em}\hspace{0.17em}Property\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}Addition)}\\ \text{26\hspace{0.17em}\hspace{0.17em}+\hspace{0.17em}\hspace{0.17em}52\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}}78\end{array}$

Thus, the value of the expression is 78.