Question

Verify the associative property of addition.

$(-137)+0+37$

Answer 1

Verifying the associative property of addition

Associative property: Let $a$, $b$ and $c$ be three integers, then associative property of addition holds when,

$(a+b)+c=a+(b+c)$

Let $a=-137$, $b=0$ and $c=37$ in the given question.

Taking L.H.S.

$(a+b)+c$

$$\begin{gathered} =\left(\right(-137)+0)+37 \\ =(-137)+37 \\ =-100 \end{gathered}$$

Taking R.H.S.

$a+(b+c)$

$$\begin{gathered} =(-137)+(0+37) \\ =(-137)+37 \\ =-100 \end{gathered}$$

Here, L.H.S.$=$ R.H.S.

Hence, associative property of addition is verified.