Question

How do you divide integers?

Answer 1

Hint: A number which can be written without a fractional component and the number can only be written without a fractional component when the denominator of the number is $1$ is termed as integer. Integers are the whole numbers but it also includes negative numbers. For example,$ - 2, - 1,0,1,2$ etc.

Complete step by step answer:
In this problem, we will discuss how we will divide the integers. There are two steps to be taken while dividing the integers.
Divide the absolute values first.
Examine the sign of the answer i.e, positive or negative.
Now, let us discuss the conditions of the signs.
If the signs of both the numbers are the same while dividing, then our answer is a positive number.
$
  \left( + \right) \div \left( + \right) = + \\
  \left( - \right) \div \left( - \right) = + \\
 $
Now, let us understand this by few examples,
Example 1. $( + 12) \div ( + 3) = \left( { + 4} \right)$
Example 2. $\left( { - 36} \right) \div \left( { - 6} \right) = \left( { + 6} \right)$
If the signs of the numbers are different from each other while dividing, then our answer is a negative number.
$
  \left( + \right) \div \left( - \right) = - \\
  \left( - \right) \div \left( + \right) = - \\
 $
Now, let us understand this by few examples,
Example1. $\left( { + 25} \right) \div \left( { - 5} \right) = \left( { - 5} \right)$
Example2. $\left( { - 28} \right) \div \left( { + 7} \right) = \left( { - 4} \right)$
So, by keeping all these steps and conditions in mind we can easily divide integers.

Note: To divide the integers first we need to divide the absolute values without considering the sign and then we have to place the sign according to the conditions of signs given above. The absolute value of a number is the non-negative value of the number without considering the sign of the number, it is also called as the modulus of a real number.