Q16. - Algebra 1

Question

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

$18+35+32+15$

Step-by-Step Solution

Answer

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

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:

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