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Multiplying and Dividing Integers

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model
- Make 3 trips into the greenhouse to add . . .
- seven ice cubes each time.

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model
- Make 3 trips into the greenhouse to add . . .
- seven ice cubes each time.
- What is the overall effect?

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model
- Make 3 trips into the greenhouse to add . . .
- seven ice cubes each time.
- What is the overall effect? The temperature

drops by 21.

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model
- Make 3 trips into the greenhouse to add . . .
- seven ice cubes each time.
- What is the overall effect? The temperature

drops by 21. - So, (3) x (-7)

Multiplying and Dividing Integers

- Ex) Consider (3) x (-7) ?
- Think of our Model
- Make 3 trips into the greenhouse to add . . .
- seven ice cubes each time.
- What is the overall effect? The temperature

drops by 21. - So, (3) x (-7) (-21)

Multiplying and Dividing Integers

- Ex) (-5) x (-4)

Multiplying and Dividing Integers

- Ex) (-5) x (-4)
- We need to make 5 trips into the greenhouse to

remove . . . - four ice cubes each time.

Multiplying and Dividing Integers

- Ex) (-5) x (-4)
- We need to make 5 trips into the greenhouse to

remove . . . - four ice cubes each time.
- The temperature will rise by 20 C.

Multiplying and Dividing Integers

- Ex) (-5) x (-4)
- We need to make 5 trips into the greenhouse to

remove . . . - four ice cubes each time.
- The temperature will rise by 20 C.
- So, (-5) x (-4) (20)

Multiplying and Dividing Integers

- Ex) (-3) x (8)

Multiplying and Dividing Integers

- Ex) (-3) x (8)
- We need to make 3 trips into the greenhouse to

remove . . . - 8 hot coals each time.

Multiplying and Dividing Integers

- Ex) (-3) x (8)
- We need to make 3 trips into the greenhouse to

remove . . . - 8 hot coals each time.
- Overall Effect

Multiplying and Dividing Integers

- Ex) (-3) x (8)
- We need to make 3 trips into the greenhouse to

remove . . . - 8 hot coals each time.
- Overall Effect A decrease in temperature of 24

C.

Multiplying and Dividing Integers

- Ex) (-3) x (8)
- We need to make 3 trips into the greenhouse to

remove . . . - 8 hot coals each time.
- Overall Effect A decrease in temperature of 24

C. - So, (-3) x (8) (-24)

Multiplying and Dividing Integers

- Ex) (5) x (6)

Multiplying and Dividing Integers

- Ex) (5) x (6)
- We are making 5 trips into the greenhouse to add

. . . - 6 hot coals each time.

Multiplying and Dividing Integers

- Ex) (5) x (6)
- We are making 5 trips into the greenhouse to add

. . . - 6 hot coals each time.
- Overall Effect

Multiplying and Dividing Integers

- Ex) (5) x (6)
- We are making 5 trips into the greenhouse to add

. . . - 6 hot coals each time.
- Overall Effect The temperature increases by 30

C.

Multiplying and Dividing Integers

- Ex) (5) x (6)
- We are making 5 trips into the greenhouse to add

. . . - 6 hot coals each time.
- Overall Effect The temperature increases by 30

C. - So, (5) x (6) (30)

Multiplying and Dividing Integers

- We have

Multiplying and Dividing Integers

- We have
- (3) x (-7) (-21)

Multiplying and Dividing Integers

- We have
- (3) x (-7) (-21)
- (-5) x (-4) (20)

Multiplying and Dividing Integers

- We have
- (3) x (-7) (-21)
- (-5) x (-4) (20)
- (-3) x (8) (-24)

Multiplying and Dividing Integers

- We have
- (3) x (-7) (-21)
- (-5) x (-4) (20)
- (-3) x (8) (-24)
- (5) x (6) (30)

Multiplying and Dividing Integers

- We have
- (3) x (-7) (-21)
- (-5) x (-4) (20)
- (-3) x (8) (-24)
- (5) x (6) (30)
- Can we write some rules?

Multiplying and Dividing Integers

- RULES

Multiplying and Dividing Integers

- RULES
- 1) When multiplying integers with the same

signs, the answer will be

Multiplying and Dividing Integers

- RULES
- 1) When multiplying integers with the same

signs, the answer will be positive.

Multiplying and Dividing Integers

- RULES
- 1) When multiplying integers with the same

signs, the answer will be positive. - 2) When multiplying integers with different

signs, the answer will be

Multiplying and Dividing Integers

- RULES
- 1) When multiplying integers with the same

signs, the answer will be positive. - 2) When multiplying integers with different

signs, the answer will be negative.

Multiplying and Dividing Integers

- RULES
- 1) When multiplying integers with the same

signs, the answer will be positive. - 2) When multiplying integers with different

signs, the answer will be negative. - Will this be true for division?

Multiplying and Dividing Integers

- If
- (3) x (-7) (-21)
- (-5) x (-4) (20)
- (-3) x (8) (-24)
- (5) x (6) (30)

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20)
- (-3) x (8) (-24)
- (5) x (6) (30)

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20) (20) (-5) (-4)
- (-3) x (8) (-24)
- (5) x (6) (30)

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20) (20) (-5) (-4)
- (-3) x (8) (-24) (-24) (-3) (8)
- (5) x (6) (30)

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20) (20) (-5) (-4)
- (-3) x (8) (-24) (-24) (-3) (8)
- (5) x (6) (30) (30) (5) (6)

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20) (20) (-5) (-4)
- (-3) x (8) (-24) (-24) (-3) (8)
- (5) x (6) (30) (30) (5) (6)
- Are the rules the same?

Multiplying and Dividing Integers

- If Then
- (3) x (-7) (-21) (-21) (3) (-7)
- (-5) x (-4) (20) (20) (-5) (-4)
- (-3) x (8) (-24) (-24) (-3) (8)
- (5) x (6) (30) (30) (5) (6)
- Are the rules the same? Yes!

Multiplying and Dividing Integers

- RULES
- 1) When multiplying or dividing integers with

the same signs, the answer will be positive.

Multiplying and Dividing Integers

- RULES
- 1) When multiplying or dividing integers with

the same signs, the answer will be positive. - 2) When multiplying or dividing integers with

different signs, the answer will be negative.

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