Multiplying & Dividing Integers

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

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

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

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.

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. (+) (+) = (+) (+)(–) = (–) (–) (–) = (+) (–) (+) = (–)

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.

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

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.

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. (+) (+) (+) (–) (–) (–) (–) (+) = (+) = (–) = (+) = (–)

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.

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

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

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