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

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

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

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

In this case

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

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

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