Question

When two negative integers are multiplied together, a number is obtained.

• A. positive
• B. negative
• C. positive$/$negative

Answer 1

The correct option is A positive

When two negative numbers are multiplied a positive number is obtained. For example, $(-1)\times (-1)=1$

To demonstrate this, we will go through the following steps:

Step 1: $1+(-1)=0$
Multiplying both side of the equation by $-1$ we get,
$\Rightarrow -1\times (1+(-1)=-1\times 0$

Step 2: Applying distributive property of multiplication,
$\Rightarrow (-1\times 1)+(-1\times -1)=0$

Step 3: We know that by multiplying $1$ the number does not change.
$\Rightarrow -1+(-1\times -1)=0$

Step 4: Adding $1$ to both side we get,
$\Rightarrow -1+(-1\times -1)+1=0+1$
$\Rightarrow (-1+1)+(-1\times -1)=1$
$\Rightarrow 0+(-1\times -1)=1$
$\Rightarrow -1\times -1=1$

Hence proved.