# When you divide a number by a negative integer does the sign change?

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

## Answer: Yes, when a number is divided by a negative integer, the sign changes with respect to the dividend.

Let's look into the rules of the division of integers.

**Explanation:**

As per the rule of integers,

Positive ÷ Negative = Negative

Negative ÷ Negative = Positive

Example :

a) 6 ÷ (-2) = -3

6 has a positive sign, whereas, -3 has a negative sign.

Thus, we see that the sign of the answer changes with respect to the dividend.

b) (-10) ÷ (-5) = 2

-10 and -5 are negative integers, however, the result is a positive integer.

Thus, we see that the sign changes according to the sign of the dividend.