Question

Consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: -4 3/7 + 7 + (-3 4/7 )

Step 1: = -4 3/7+(-3 4/7) + 7
Step 2: = -4 + (-3/7) + (-3) + (-4/7) + 7
Step 3: = -4 + (-3/7) + (-4/7) + (-3) + 7
Step 4: = -4 + (-1) + (-3) + 7
Step 5: = -8 + 7
Step 6: = -1

A) The associate property of addition.
B) The commutative property of addition.
C) The opposite of a sum is the sum of its opposites.
D) Subtracting a number is the same as adding its inverse.

Answer 1

B) The commutative property of addition.

Explanation:

Given expression :

Step 1: = -4 3/7+(-3 4/7) + 7

Step 2: = -4 + (-3/7) + (-3) + (-4/7) + 7

Step 3: = -4 + (-3/7) + (-4/7) + (-3) + 7

Step 4: = -4 + (-1) + (-3) + 7

Step 5: = -8 + 7

Step 6: = -1

In 3rd step they just swap the positions of (-4/7) and (-3) to bring the like fractions with common denominator together.

Swapping the numbers is the Commutative Property of Addition.

Therefore, correct option is B) The commutative property of addition.