Question

Evaluate the expression. Justify each of your steps.

$16+18+14$

Short answer

Value of given expression is $48$.

Step-by-step solution

Step-1- Concept of commutative property and associative property of addition

The commutative property is a math rule says thatthe order in which we add numbers does not change the final product.

$A+B=B+A$

The associative property of addition states that the addition of three or more numbers remains the same regardless of how the numbers are grouped,

$A+\left(B+C\right)=\left(A+B\right)+C$.

Step-2-Evaluating given expression

$16+18+14$

Using Order of operations,

$16+18+14=\left(16+18\right)+14$.

Using Commutative property,

$16+18+14=\left(18+16\right)+14$.

Using associative property,

$\begin{array}{c}16+18+14=18+\left(16+14\right)\\ 16+18+14=18+\left(30\right)\\ 16+18+14=48\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $48$.