1. Dividing Integers

2. Warm Up
Directions: Place the correct signs in front of the dividend and the divisor to make the sentence true. Be sure to list all possible answers.
__ 8 ÷ __ 8 = __ 36 ÷ __ 4 = 9
__ 10 ÷ __ 2 = __ 63 ÷ __ 7 = 9
5. __ 12 ÷ __ 4 = __ 14 ÷ __2 = 7

3. Dividing Integers
Division is the inverse of multiplication. For example: 5 x 2 = 10; therefore 10 ÷ 5 = 2 and 10 ÷ 2 = 5. The rules for dividing integers are the same as the rules for multiplying integers.

4. Dividing Integers
Divide the absolute values of the integers and decide if the quotient is positive or negative.
When both the divisor and the dividend have the same sign, the quotient is positive.
When the divisor and the dividend have different signs, the product is negative.
Dividing by zero is undefined. In other words, when the divisor is zero, the quotient is undefined.
Division can be written using a fraction bar.

5. Division by Zero is Undefined.
Remember that division is the inverse of multiplication. Therefore, every division problem is related to a multiplication problem. 6 ÷ 0 = undefined because we cannot complete 0 x ? = 6

6. The school owes $120. 00 for a new printer
The school owes $ for a new printer. A group of 8 parents have agreed to pay the debt, each paying an equal share. What is each parent’s share of the debt? Write the division expression and explain how each of the numbers in the expression relates to the given information and what the sign of the quotient is.

7. The price of a share of stock changed by the following amounts one week. -$2, $4, -$1, -$3, and -$2. What was the average change in price for the week?

8. (-36) ÷ 9 = -63 ÷ (-7) = 0 ÷ 5 = 5 ÷ 0 =

9. Garrett had two tests on Wednesday
Garrett had two tests on Wednesday. On the Science test, each question was worth 4 points. On the Math test, each question was worth 6 points. His score was -12 on each test. On which test did he miss more items? Explain your reasoning.

10. Nola hiked down a trail at a steady rate for 10 minutes
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. The she continued to hike down for another 20 minutes at a different rate. Her change in elevation for this part of the hike was -300 feet. During which portion of the hike did she walk down at a faster rate? Explain your reasoning.

11. Exit Ticket -21 ÷ (-3) = 2. -40 ÷ (5) = −75 3 = 4. −45 −3 =
-21 ÷ (-3) = ÷ (5) =
−75 3 = −45 −3 =
28 ÷ (-14) = ÷ (-1) =
Jose borrowed a total of $72.00 from his grandmother. He borrowed $9.00 each week. For how many weeks did he borrow money?
Mia hiked along a 2,250 foot mountain trail. She stopped 5 times along the way to rest, walking the same distance between each stop. How far did Mia hike before the first stop?