omplete the following stepped-out solution to show that −8+c+8−d is equivalent to c−d.(1 point)
−8+c+8−d
−8+
+c−d Commutative Property of Addition
+c−d Inverse Property of Addition
c−d Identity Property of Addition
−8+c+8−d can be rearranged using the Commutative Property of Addition as follows:
−8 + 8 + c − d
Next, we can use the Inverse Property of Addition to simplify -8 + 8 as 0:
0 + c − d
Since adding 0 to any number does not change its value, we can remove the 0:
c − d
Therefore, −8+c+8−d is equivalent to c−d.
Complete the following stepped-out solution to show that 511⋅w⋅115+3 is equivalent to w+3.(1 point)
511⋅w⋅115+3
511⋅
⋅w+3 Commutative Property of Multiplication
⋅w+3 Inverse Property of Multiplication
w+3 Identity Property of Multiplication
511⋅w⋅115+3 can be rearranged using the Commutative Property of Multiplication as follows:
511⋅115⋅w + 3
Next, we can use the Inverse Property of Multiplication to simplify 511⋅115 as 1:
1⋅w + 3
Since multiplying any number by 1 does not change its value, we can remove the 1:
w + 3
Therefore, 511⋅w⋅115+3 is equivalent to w + 3.