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.
As per the rule of integers,
Positive ÷ Negative = Negative
Negative ÷ Negative = Positive
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.