Question

How is the process of dividing integers similar to the process of multiplying integers

Answer 1

⇒When you divide an integer A by an Integer B, following are the Possibilities

`1.\rightarrow (A)/(B)=+ \text{Integer}\\\\2.\rightarrow (-A)/(-B)=+ \text{Integer}\\\\3.\rightarrow (-A)/(B)=- \text{Integer}\\\\4.\rightarrow (A)/(-B)=-\text{Integer}`

⇒When you multiply an integer A by an Integer B, following are the Possibilities

A × B=+ Integer

A × -B= -Integer

-A × -B=+Integer

-A × B= - Integer

There is same rule between Divison and Multiplication, that is when you Multiply or divide two same kind of Integers ,kind means sign behind the integer ,it yields the same result.

Answer 2

When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.