Question

Find the value of the product $7\times (-8)\times (-2)\times (-9)$.

• A. $-112$
• B. $112$
• C. $-1008$
• D. $1008$

Answer 1

The correct option is C $-1008$

$\underset{–}{\text{Need to find:}}$ Value of $7\times (-8)\times (-2)\times (-9)$

Carrying out the multiplication from left.

$\bullet 7\times (-8)=-56$

$\bullet -56\times (-2)=(-1)\times (-1)\times (56\times 2)=1\times 56\times 2=56\times 2$

Now, $56\times 2$ can be evaluated as:


$\therefore 7\times (-8)\times (-2)=(-56)\times (-2)=112$

$\bullet 112\times (-9)=-(112\times 9)$

First, we would evaluate the value of $112\times 9$, and then include a negative sign to it.

$112\times 9$ can be evaluated as:



$\therefore 112\times (-9)=-(112\times 9)=-1008$

Hence, we can conclude:
$\underset{–}{7\times (-8)\times (-2)\times (-9)=-1008}$

Therefore, (c.) is the correct option.