Question

Consider the steps to simplify the expression. What property of operation is used in Step 2?

Expression: -437 + 7 - 347

Step 1: = -4 3/7 + 7 + (-3 4/7)
Step 2: = -4 3/7 + (-3 4/7) + 7
Step 3: = -4 + (-37) + (-3) + (-47) + 7
Step 4: = -4 + (-37) + (-47) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.

Answer 1

C The opposite of a sum is the sum of its opposites.

Answer 2

Simplify this expression.

4/21 − (−3/7) − 5/9
Responses
A −13/21
B −19/36
C 11/12
D 4/63

Answer 3

To simplify the expression 4/21 - (-3/7) - 5/9, we can first simplify the expression inside the parenthesis:

4/21 + 3/7 - 5/9

To add fractions, we need to find a common denominator. In this case, the least common denominator (LCD) is 63:

(4/21)(3/3) + (3/7)(9/9) - (5/9)(7/7)
= 12/63 + 27/63 - 35/63

Now we can combine the fractions:

12/63 + 27/63 - 35/63 = (12 + 27 - 35)/63
= 4/63

So the simplified expression is 4/63.

Therefore, the correct response is D. 4/63.