Question

Multiply: \[ - 16\] by $ - 12 $

Answer 1

Hint: First we have to define what the terms we need to solve the problem are.
The negative sign in the will cancel each other by multiplicative axioms
Multiplying means repeated addition of a number. (The number must all be the same before we can use it to multiply.) Multiplicand refers to the number multiplied.
Have a look at an example; while multiplying $ 5 \times 7 $ the number $ 5 $ is called the multiplicand and the number $ 7 $ is called the multiplier.

Complete step by step answer:
 Given question is multiply: \[ - 16\] by $ - 12 $
Since multiplicand refers to the number multiplied. Multiplier refers to the number that multiplies the first number, and from the given problem the number $ - 16 $ is called the multiplicand and the number $ - 12 $ is called the multiplier. The multiplication is an operation inverse of division.
So as per the hint the multiplication of negative sign values yields a positive output.
Hence \[ - 16\] by $ - 12 $ $ \Rightarrow - 16 \times - 12 = - ( - 16 \times 12) $ (taking out negative value of $ - 12 $ )
 $ \Rightarrow - ( - )16 \times 12 $ (Taking out negative value of \[ - 16\])
Thus, as per multiplication axiom, when we multiply two negative numbers or two positive numbers then the product is always positive.
Thus $ \Rightarrow 16 \times 12 $ now we are going to multiply $ 16 $ times of $ 12 $
Which is $ \Rightarrow 16 \times 12 $ = $ 192 $ (multiplied $ 16 $ into $ 12 $ )
Hence $ - 16 \times - 12 = 192 $ is the required multiplication.

Note: If we multiply zero ( $ 0 $ ) with positive or negative number it will remain zero ( $ 0 $ ) only, since product of any number by zero is zero. For example, \[ - 16\] $ \times 0 $ = $ 0 $ or $ 16 \times 0 = 0 $ , even $ - 16 \times - 12 \times 0 = 0 $ . When we multiply two negative numbers or two positive numbers then the product is always positive. Since there is one positive and one negative number, the product will be negative.