Make a conjecture about the quotient of two integers with different signs. Make a conjecture about the quotient of two integers with the same sign.

Question

Jamal Frazier

Mathematics

22 October, 13:08

Make a conjecture about the quotient of two integers with different signs. Make a conjecture about the quotient of two integers with the same sign.

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Emmy Stark · Answer 1

If the integers are of different signs, then clearly, one integer would be positive and the other would be negative.

Hence, the quotient is negative.

If the integers are of same sign say positive, then the quotient is positive.

If the integers are of same sign, say negative, then we can cancel out the minus sign in the numerator and in the denominator and the quotient is positive.