Question

Evaluate the expression using properties of numbers. Name the property used in each step. 16 + 38 + 14 + 22

a) 86; Commutative property
b) 76; Associative property
c) 94; Distributive property
d) 70; Identity property

Answer 1

To evaluate the expression 16 + 38 + 14 + 22, we apply the Commutative Property to rearrange the terms and then the Associative Property to group them, resulting in a final sum of 90.

Step-by-step explanation:

The expression to evaluate is 16 + 38 + 14 + 22. To find the sum, we can use the Commutative Property of addition, which allows us to rearrange the terms in any order:

• 16 + 38 = 54
• 14 + 22 = 36

Next, we add these two sums together using the Associative Property of addition, which allows us to group numbers during addition:

• 54 + 36 = 90

The final answer is 90, and the properties used were the Commutative and Associative Property.