Question

Drag and drop the algebraic representation to their appropriate properties to the right.

Answer 1

In general, the properties of the inequality are listed below

`\begin{gathered} x=y\Rightarrow y=x\rightarrow\text{ symmetric property} \\ x+(y+z)=(x+y)+z\rightarrow\text{ associative property of addition} \\ x+(-x)=0\rightarrow\text{ additive inverse} \\ x+y=y+x\rightarrow\text{ commutative property of addition} \\ a(x+y)=ax+ay\rightarrow\text{ distributive property of multiplication} \end{gathered}`
`\begin{gathered} x*1=x\rightarrow\text{ multiplicative identity} \\ x+0=x\rightarrow\text{ additive identity} \\ x*0=0\rightarrow\text{ multiplication property of zero} \end{gathered}`

Therefore, after comparing the properties above with the given options, the answers are

The answers are

`\begin{gathered} A\rightarrow2 \\ B\rightarrow3 \\ C\rightarrow6 \\ D\rightarrow1 \\ E\rightarrow8 \\ F\rightarrow4 \\ G\rightarrow5 \\ H\rightarrow7 \end{gathered}`