5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 1. g - 7 2. -h – ( -9) 3. f - g 4. g + h - f.

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Presentation transcript:

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 1. g - 7 2. -h – ( -9) 3. f - g 4. g + h - f

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 1. g - 7

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 1. g - 7 7 – 7 0

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 2. -h – ( -9)

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 2. -h – ( -9) -9 + 9 0

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 3. f - g

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 3. f - g -6 -7 -13

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 4. g + h - f

5 Minute Check Evaluate each expression if f = -6, g = 7 and h = 9. Complete on the back of your homework. 4. g + h - f 7 + 9 –(-6) 7 + 9 + 6 22

Fluency

Essential Question Lily has a $100 gift card to her favorite pastry shop. She spends $4 a day at the shop for the next 12 days. Write a multiplication expression to represent this situation, then solve and explain it’s meaning. How would we solve this?

Lesson E.5.b Multiplying and Dividing Integers Wednesday, Dec 2 Lesson E.5.b Multiplying and Dividing Integers

Multiplying and Dividing Integers Objective: To multiply and divide positive and negative integers.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers Integers are all positive and negative whole numbers and zero.

Multiplying and Dividing Integers In algebra if there is not operation, it assumed to be multiplication. i.e. xy = x times y 6x = 6 times x

Multiplying and Dividing Integers The same rules apply when multiplying or dividing as to adding and subtracting. positive times positive = positive negative times negative = positive positive times negative = negative negative times positive = negative

Multiplying and Dividing Integers Find 7(5). Do this on your own.

Multiplying and Dividing Integers Find 7(5). 35 Remember, if there is no operation, it is assumed to be multiplication.

Multiplying and Dividing Integers Find 3(-5). Do this on your own.

Multiplying and Dividing Integers Find 3(-5). -15

Multiplying and Dividing Integers Find -6(8). Do this on your own.

Multiplying and Dividing Integers Find -6(8). -48 Since the 1st number is - and the 2nd is +, the answer will be -.

Multiplying and Dividing Integers Find -9(-2). Do this on your own.

Multiplying and Dividing Integers Find -9(-2). 18 Since the 1st number is - and the 2nd is -, the answer will be +.

Multiplying and Dividing Integers Find (-4)².

Multiplying and Dividing Integers Find (-4)². (-4)(-4) 16

Multiplying and Dividing Integers Find -3(-4)(-2). Do this on your own.

Multiplying and Dividing Integers Find -3(-4)(-2). 12(-2) -24

Multiplying and Dividing Integers Mr. Simon’s bank automatically deducts a $4 monthly maintenance fee from his savings account. Write a multiplication expression to represent the maintenance fees for one year. Then find the product and explain. Do this on your own.

Multiplying and Dividing Integers Mr. Simon’s bank automatically deducts a $4 monthly maintenance fee from his savings account. Write a multiplication expression to represent the maintenance fees for one year. Then find the product and explain. -4(12) -$48 $48 will be deducted from account in one year.

Multiplying and Dividing Integers Since division is the reversal of multiplication, these rules can also be used to divide positive and negative integers.

Multiplying and Dividing Integers Find 80 ÷ (-10). What is the quotient without regard to the positive or negative signs?

Multiplying and Dividing Integers Find +80 ÷ (-10). 8 Since we have a + and -, what should the sign be?

Multiplying and Dividing Integers Find +80 ÷ (-10). - 8 Check: 80 ÷ (-10) = -8, then -8 · (-10) = 80

Multiplying and Dividing Integers Find 20 ÷ (-4). Do this on your own.

Multiplying and Dividing Integers Find 20 ÷ (-4). - 5 Check: 20 ÷ (-4) = -5, then -5 · (-4) = 20

Multiplying and Dividing Integers Find −55 11 Do this on your own.

Multiplying and Dividing Integers Find −55 11 -55 ÷ (11) -5 Check: -55 ÷ (11) = -5, then -5 · (11) = -55

Multiplying and Dividing Integers Find 81 −9

Multiplying and Dividing Integers Find 81 −9 81 ÷ (-9) -9 Check: 81 ÷ (-9) = -9, then -9 · (-9) = 81

Multiplying and Dividing Integers Find -14 ÷ (-7) Do this on your own.

Multiplying and Dividing Integers Find -14 ÷ (-7) 2 Check: -14 ÷ (-7) = 2, then 2 · (-7) = -14

Multiplying and Dividing Integers Find −27 −3 Do this on your own.

Multiplying and Dividing Integers Find −27 −3 -27 ÷ (-3) 9 Check: -27 ÷ (-3) = 9, then 9 · (-3) = -27

Multiplying and Dividing Integers Evaluate a ÷ b, if a = -33 and b = -3 Do this on your own.

Multiplying and Dividing Integers Evaluate a ÷ b, if a = -33 and b = -3 -33 ÷ (-3) 11 Check: -33 ÷ (-3) = 11, then 11 · (-3) = -33

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. If I x I = 3, what is the value of x ?

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. If I x I = 3, what is the value of x ? x = 3 or -3

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. If x² = 16, what is the value of x ?

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. If x² = 16, what is the value of x ? x = 4 or -4

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. 50. Evaluate (-1) Explain. Do this on your own.

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. 50. Evaluate (-1) Explain. Since (-1)(-1) = 1 and there are 25 pairs of (-1) the product will be 1. 50 25 (-1) = (1) = 1

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. Find values for x, y and z so that all of the following statements are true. y>x, z< y and x < 0 x ÷ 2 and x ÷ 3 are integers x ÷ z = -z x ÷ y = z

Multiplying and Dividing Integers Johanna’s parents give her $10 per week for lunch money. Find values for x, y and z so that all of the following statements are true. y>x, z< y and x < 0 x ÷ 2 and x ÷ 3 are integers x ÷ z = -z x ÷ y = z x = -144 y = 12 z = -12

Essential Question Lily has a $100 gift card to her favorite pastry shop. She spends $4 a day at the shop for the next 12 days. Write a multiplication expression to represent this situation, then solve and explain it’s meaning. Do this on your own.

Essential Question Lily has a $100 gift card to her favorite pastry shop. She spends $4 a day at the shop for the next 12 days. Write a multiplication expression to represent this situation, then solve and explain it’s meaning. 12(-4) = -48 Her gift card has $48 less than it originally had.

Integers and Absolute Value Homework – Skills Practice E.5.b Due Thursday, Dec 3 Chapter 5 Test - Friday, Dec 4 Accum Rev 5 due Friday, Dec 4