Question

Verify the associative property of addition.

$(-91)+(-112)+(-150)$

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 $a=-91$, $b=-112$ and $c=-150$ in the given question.

Taking L.H.S.

$(a+b)+c$

$$\begin{gathered} =\left(\right(-91)+(-112\left)\right)+(-150) \\ =(-203)+(-150) \\ =-353 \end{gathered}$$

Taking R.H.S.

$a+(b+c)$

$$\begin{gathered} =(-91)+\left(\right(-112)+(-150\left)\right) \\ =(-91)+(-262) \\ =-353 \end{gathered}$$

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

Hence, associative property of addition is verified.