Question

Verify the associative property of addition.

$(-45)+(-67)+82$

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 $a=-45$, $b=-67$ and $c=82$ in the given question.

Taking L.H.S.

$(a+b)+c$

$$\begin{gathered} =\left(\right(-45)+(-67\left)\right)+82 \\ =(-112)+82 \\ =-30 \end{gathered}$$

Taking R.H.S.

$a+(b+c)$

$$\begin{gathered} =(-45)+\left(\right(-67)+82) \\ =(-45)+15 \\ =-30 \end{gathered}$$

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

Hence, associative property of addition is verified.