Question

If $x$, $y$ and $z$ are integers then $(x+\_\_\_)+z=\_\_\_\_\_+(y+\_\_\_\_\_)$. Fill in the blanks to make the statement true.

Answer 1

Associative property of integers

Associative property of integers is multiplication and addition. In this property of integers result of the operation remains the same irrespective of the order of performance of these operations on three integers.

$$\begin{gathered} \Rightarrow x+(y+z)=(x+y)+z \\ \Rightarrow x\times (y\times z)=(x\times y)\times z \end{gathered}$$

Hence $y,x$, $z$ makes the statement true.