1. Multiplying & Dividing Integers

2. How can I multiply and divide integers?
Objective:
7.1.02
Essential Question:
How can I multiply and divide integers?

3. Vocabulary:
(1) Integer (2) Opposite (3) Number Line (4) Absolute Value (5) Rational Number

4. So What Do We Remember About Adding & Subtracting Integers…
First Lets Review:
So What Do We Remember About Adding & Subtracting Integers…

5. Multiplying Integers:
Follow these rules…
(1) The product of two integers with the same sign is positive.
(2) The product of two integers with different signs is negative.

6. Multiplying Integers:
(1) The product of two integers with the same sign is positive.
(2) The product of two integers with different signs is negative.
(+) (+) = (+) (+)(–) = (–)
(–) (–) = (+) (–) (+) = (–)

7. Multiplying Integers Examples:
Example 1: Find the product of 9 x 2. Example 2: Find the product of – 5 x – 8. Example 3: Find the product of – 4 x 6. Example 4: Find the product of 7 x – 3.

8. Multiplying Integers Word Problem:
A construction company is starting to excavate a hole for a new underground parking garage. If the company excavates 3 feet every hour for 4 hours, what will be the depth of the hole in relation to the surface?
(– 3ft) x 4 hours = – 12 feet
*Remember that the (–) simply means down

9. Dividing Integers: Follow these rules…
(1) The quotient of two integers with the same sign is positive.
(2) The quotient of two integers with different signs is negative.

10. Dividing Integers: = (+) = (–) = (+) = (–) (+) (+) (+) (–) (–) (–)
(1) The quotient of two integers with the same sign is positive.
(2) The quotient of two integers with different signs is negative.
(+) (+)
(+) (–)
(–) (–)
(–) (+)
= (+)
= (–)
= (+)
= (–)

11. Dividing Integers Examples:
Example 1: Find the quotient of 9 ÷ 3. Example 2: Find the quotient of (–12) ÷ (– 6). Example 3: Find the quotient of – 8 ÷ 4. Example 4: Find the quotient of 49 ÷ – 7.

12. Dividing Integers Word Problem:
A football team was penalized 60 yards in 4 plays. Suppose the team was penalized an equal number of yards on each play. Write an integer that gives the number of yards for each penalty? - 60 yards 4 plays
= - 15 yards/play

13. So Lets Review The Rules:
MULTIPLICATION:
(+) (+) = (+) (+)(–) = (–)
(–) (–) = (+) (–) (+) = (–)

14. So Lets Review The Rules:
DIVISION:
(+) (+)
(+) (–)
(–) (–)
(–) (+)
= (+)
= (–)
= (+)
= (–)