Q5. - Algebra 1

Question

Evaluate the following expression. Name the property used in each step:

$\mathbf{23}\mathbf{+}\mathbf{42}\mathbf{+}\mathbf{37}$

Step-by-Step Solution

Answer

The value of the expression is: $\mathbf{23}\mathbf{+}\mathbf{42}\mathbf{+}\mathbf{37}\mathbf{=}\mathbf{102}$.

Step 1 – Given information.

Given expression is:

$23+42+37$

Step 2 – Write the concept.

The substitution property for multiplication, addition and subtraction is:

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

The commutative property of addition is:

$a+b=b+a$

Step 3 – Evaluate the expression.

The expression $23+42+37$ can be solved in below:

$\begin{array}{c}23+42+37=\left(23+37\right)+42\left[\text{Commutative\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =60+42\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\\ =102\left[\text{Substitution\hspace{0.17em}\hspace{0.17em}Property}\right]\end{array}$