Question

Describe the signs of two rational numbers when (a) their sum is positive, (b) their product is positive, and (c) their quotient is positive. Give examples to support your answers

Answer 1

here are signs for (A), (B) and (C) hope this helps :)

Explanation:

(a) The signs of two rational numbers whose sum is positive can be either both positive or both negative. If the signs are different, the absolute value of one number is greater than the absolute value of the other.

Example:

1/2 + 3/4 = 1/4 (positive sum, both numbers are positive)

-2/3 + 4/5 = 2/15 (positive sum, both numbers are negative)

(b) The signs of two rational numbers whose product is positive can be either both positive or both negative.

Example:

1/3 * 4/5 = 4/15 (positive product, both numbers are positive)

-2/7 * -3/4 = 3/14 (positive product, both numbers are negative)

(c) The signs of two rational numbers whose quotient is positive can be either both positive or both negative.

Example:

2/3 ÷ 1/4 = 8/3 (positive quotient, both numbers are positive)

-5/6 ÷ -2/3 = 5/4 (positive quotient, both numbers are negative)