Question

5. Communicate Mathematical Ideas 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 than or less than the quotient of the
integers. Show your work.

Answer 1

Answer: 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

Explanation: