Question

Evaluate the following expression and name the property used in each step:

$18+35+32+15$

Short answer

The value of the expression is: $18+35+32+15=100$.

Step-by-step solution

Step 1. Given information.

The given expression is:

$18+35+32+15$

Step 2. Write the concept.

The substitution property for multiplication, addition and subtraction is:

$\begin{array}{c}a\cdot b=c\\ a÷b=c\\ a\pm b=c\end{array}$

The commutative property of addition is:

$a+b=b+a$

Step 3. Evaluate the expression.

The expression $18+35+32+15$can be solved as in below:

role="math" localid="1642017560802" $$\begin{gathered} 18+35+32+15=\left(18+32\right)+\left(35+15\right)\left[\text{Property\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}Commutativity}\right] \\ =50+50\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right] \\ =100\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right] \end{gathered}$$