Question

$(–5)\times \left(33\right)=5\times (–33)$ State whether the statement is True or False.

• A. True
• B. False

Answer 1

The correct option is A True

Step 1:Prove that the given statement is true

The given equation is,

$(-5)\times \left(33\right)=5\times (-33)$
$\mathrm{i})$Expand
$(-5)\times \left(33\right)$
Remove parentheses: $\left(a\right)=a$
$\Rightarrow -5\times 33$
Multiply the numbers
$\Rightarrow -5\times 33=-165$ $\left(1\right)$

Step 2: Expand the given equation

$\mathrm{ii})$Expand
$5\times (-33)$
Remove parentheses: $(-a)=-a$
$\Rightarrow 5\times -33$
Multiply the numbers
$\Rightarrow 5\times -33=-165$ $\left(2\right)$

By combining two equations, we get
$-165=-165$

L.H.S= R.H.S, Hence proved.

Therefore, the given statement is true.