Question

for the following problem,match the name of the number property that was used to get to each step from previous step 37•2•(-5+1/2+5)

Answer 1

For the first step, the commutative property of addition was applied because

`a+b=b+a\Rightarrow\text{ Commutative property of addition}`

In this case

`\begin{gathered} (1)/(2)+5=5+(1)/(2) \\ \text{ Then} \\ 37\cdot2\cdot(-5+(1)/(2)+5)=37\cdot2\cdot(-5+5+(1)/(2)) \end{gathered}`

For the second step, the inverse property of addition was applied because

`a+(-a)=0\Rightarrow\text{ Inverse Property of Addition}`

In this case

`\begin{gathered} -5+5=0 \\ \text{ Then} \\ 37\cdot2\cdot(-5+(1)/(2)+5)=37\cdot2\cdot(-5+5+(1)/(2)) \\ 37\cdot2\cdot(-5+(1)/(2)+5)=37\cdot2\cdot(0+(1)/(2)) \end{gathered}`

For the third step, the identity property of addition was applied because