Exercise 31 Page 64

According to the order of operations, operations inside parentheses are calculated first. Let's evaluate the expression first, and then we can name each property.

$2\cdot \frac{1}{2}+4(4\cdot 2-7)$

Multiply

Multiply

$2\cdot \frac{1}{2}+4(8-7)$

SubTerm

Subtract term

$2\cdot \frac{1}{2}+4\cdot 1$

MultByOne

$a\cdot 1=a$

$2\cdot \frac{1}{2}+4$

Rewrite

Rewrite $2\cdot \frac{1}{2}$ as $1$

$1+4$

AddTerms

Add terms

$5$

The expression simplifies to $5.$ Finally, let's name the property used in each step.

Step	Action	Property used
$1$	Multiply	Substitution
$2$	Subtract term	Substitution
$3$	$a\cdot 1=a$	Multiplicative Identity
$4$	Rewrite $2\cdot \frac{1}{2}$ as $1$	Multiplicative Inverse
$5$	Add terms	Substitution