Question

Two integers a and b have different signs. The absolute value of integer a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater or less than the quotient of the integers. Show your work.

Answer 1

General rule for adding numbers
Two integers with the same signs
=> Once 2 integers has the same sign, then add.
For example
5 + 3 = 8 ( 5 and 3 are both positive numbers)
-5 + (-3) = -8 (5 and 3 are both negative number, thus we added the 2 numbers)

Two integers with different signs
=> When 2 integers has different sign, then do subtraction
For example
-5 + 3  (5 and 3 has different signs) 
- 5 + 3 = 2

Two integers that vary in sign
=> When 2 integers vary in sign, then it will depend on the operator
For example
5 + (-3) (5 and 3 has different signs, but the process will vary with the operator and number sign) 
When positive and negative = negative
5 – 3 = 2