1 Multiplying and Dividing Integers For this lesson we will be using a real life situation about greenhouses. Greenhouses are used to keep plants both.

Slides:

Advertisements

Similar presentations

Advertisements

Multiplying & Dividing Integers. State the rule for multiplying and dividing integers…. If the signs are the same, If the signs are different, the answer.

Integers: Multiplication & Division

1.4-5: Multiplying Integers: Basic Rules. Ways to Express multiplication Remember: All of these mean the same thing: Five times four 5 × 4 5 · 4 5(4)

INTEGERS: adding, subtracting, multiplying, and dividing

Objective: Learn to multiply and divide integers.

Exploring Integers With Manipulatives “Witches Brew” Model MTA October 2008 LOIS BOUDREAU AVRSB Math Mentor.

Warm Up 8/25 Find the next two numbers in the pattern: 12, 6, 24, 12, 48, …. Explain your reasoning.

Multiplying and Dividing Integers 1.9. Rules: Multiply or divide SAME sign the product or quotient is POSITIVE Examples: 1.) -2∙ (-22)= 2.) -45÷ (-9)=

Day 7 – Multiplying and Dividing Integers. 1.Multiply the numbers 2.Same signs, answer is positive. 3.Different signs, answer is negative. Rules for Multiplying.

2.1 Day 3: Multiplying more than two integers

Integer Rules. Adding with the same sign Rules Rules Add like normal Add like normal Keep the sign Keep the sign Examples Examples = -22 (all.

Multiplying and Dividing Integers

1.3B MULTIPLYING AND DIVIDING INTEGERS I can multiply and divide integers to solve problems involving integers.

Add , Subtract, Multiply, Divide.

Addition, Subtraction, Multiplication, and Division of Integers

Integer Operations. 1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex = 12) *If.

Bell Ringer = – 5 = = ÷ -2 = =6. -7 – (-7) = After you have completed the bell ringer, take out your homework!

Multiplying and Dividing Integers

11-7 Multiplying Integers Warm Up Find each product ,600 14,000.

Objective 3 Multiplying and Dividing Integers © 2000 by R. Villar All Rights Reserved.

Integers All whole numbers and their opposites including the number 0.

Operations Involving Integers Blaine Bernard Intermediate Mathematics In-Service Tuesday, August 24, 2010.

Chapter 8 L8-4 Notes: Multiplying Integers. Study the examples below and see if you spot any patterns. Can you figure out the rules for multiplying and.

Multiplying and Dividing Integers When you MULTIPLY: Two positives equal a positive Two negatives equal a positive One positive & one negative equal.

Integers Multiplying and Dividing. EXAMPLE 1 Multiplying Integers a. –5 ( –7 ) The product of two integers with the same sign is positive. b. –8 ( 2 )

Operations with Integers

Multiply and Divide Integers

Reviewing Integers If you stay seven weeks and owe $13 per week for rent, how much is your total bill? Explain your reasoning. How can you check yourself?

Integers 7th Grade Math.

Adding, Subtracting, Multiplying, and Dividing Real Numbers.

Cougar Time. Adding Negative Numbers  What are the two rules for adding integers?  Same Signs = Add and keep the sign  Different Signs = Find the absolute.

Dividing Decimals TeacherTwins©2014. Warm Up

Warm Up (3 + 6) = (4 + 3) a(b – c) = ab – ac = 0 4. (ab)c = (ac)b = 5 6. Name each property Answers 1.Associative property.

Multiply Positive and Negative Numbers August 26, 2015.

Multiplication and Division of Integers Multiplying! / Steps: / Ignore signs and multiply / Determine the sign / Positive times a Positive = Positive.

Warm Up 8/26 Find the next two numbers in the pattern: 12, 6, 24, 12, 48, …. Explain your reasoning.

Adding, Subtracting, Multiplying, and Diving Integers!!!

Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.

Sections 2-6 and 2-8 (We combined two because we are that cool!) There will be a quiz on both of these Wednesday!

Dividing Integers DART statement: I can divide integers.

Multiplication and Division Property of Inequalities When c is positive, if a > b, then a c > b c When c is negative, if a > b, then a c < b c.

Integer Review If you are combining two numbers with: SAME SIGNS YOU ADDTAKE THE SIGN OF THE LARGER NUMBER DIFFERENT SIGNS YOU SUBTRACT TAKE THE SIGN.

Subtracting Integers Objective: Learn to subtract integers.

5-2 Solving Inequalities by Multiplication & Division N#_____ _____/_____/_____.

Integers Around Us Student Sample. Where do we see integers in action?

Multiplying and Dividing Integers. What’s the Pattern? 1) (-5) x (2) = -102) (-7) x (5) = -35 3)(+7) x (+6)=+424) (+4) x (+5)=+20 5) (-3) x (-2)= +66)

Adding Integers KMS 7 TH GRADE. Adding Integers Rules  To add integers with the same sign: you add the absolute values and keep the sign.  Example A.

ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.

Interesting Integers – Part Dos

Integers Rules of Operation.

Operations with Integers

Integer Rules Memorize the Rules.

Warm-Up Use a number line to solve (-4)

Multiplying and Dividing Integers

Do Now- What is ?.

Operations with Integers

The Integer Song.

Title of Notes: Multiplying and Dividing Integers pg. 9 RS

1-8 Multiplying and Dividing Integers

Multiplying and dividing Integers

Multiplying Integers SAME SIGNS??? Answer will be POSITIVE. ex)

Percents and Decimals Objective:

Operations with Integers

Do Now Evaluate each expression · · · · ÷ ÷

DIRECTED NUMBERS.

A3 1.1c To Multiply & Divide Positive & Negative Numbers

Division of Real Numbers

Divide two Integers.

Presentation transcript:

1 Multiplying and Dividing Integers For this lesson we will be using a real life situation about greenhouses. Greenhouses are used to keep plants both warm in the winter and cool in the summer. We are gong to use integers to help us talk about the temperature! You MUST play this as a slide show and not just scroll through the slides! You MUST play this as a slide show and not just scroll through the slides! You may write the examples but you do not have to. You may write the examples but you do not have to.

2 Multiplying and Dividing Integers Ex) Consider: (+3) x (-7) = ?

3 Multiplying and Dividing Integers Ex) Consider: (+3) x (-7) = ? Think of a Model:

4 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.

5 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?

6 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°.

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) =

8 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)

9 Multiplying and Dividing Integers Ex) (-5) x (-4) =

10 Multiplying and Dividing Integers Ex) (-5) x (-4) = We need to make 5 trips into the greenhouse to remove... four ice cubes each time.

11 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.

12 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)

13 Multiplying and Dividing Integers Ex) (-3) x (+8) =

14 Multiplying and Dividing Integers Ex) (-3) x (+8) = We need to make 3 trips into the greenhouse to remove... 8 hot coals each time.

15 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:

16 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.

17 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)

18 Multiplying and Dividing Integers Ex) (+5) x (+6) =

19 Multiplying and Dividing Integers Ex) (+5) x (+6) = We are making 5 trips into the greenhouse to add... 6 hot coals each time.

20 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:

21 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.

22 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)

23 Multiplying and Dividing Integers We have:

24 Multiplying and Dividing Integers We have: (+3) x (-7) = (-21)

25 Multiplying and Dividing Integers We have: (+3) x (-7) = (-21) (-5) x (-4) = (+20)

26 Multiplying and Dividing Integers We have: (+3) x (-7) = (-21) (-5) x (-4) = (+20) (-3) x (+8) = (-24)

27 Multiplying and Dividing Integers We have: (+3) x (-7) = (-21) (-5) x (-4) = (+20) (-3) x (+8) = (-24) (+5) x (+6) = (+30)

28 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?

29 Multiplying and Dividing Integers RULES:

30 RULES: 1) When multiplying integers with the same signs, the answer will be

31 Multiplying and Dividing Integers RULES: 1) When multiplying integers with the same signs, the answer will be positive.

32 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

33 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. Write these rules in your notebook!

34 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?

35 Multiplying and Dividing Integers If: (+3) x (-7) = (-21) (-5) x (-4) = (+20) (-3) x (+8) = (-24) (+5) x (+6) = (+30)

36 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)

37 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)

38 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)

39 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)

40 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?

41 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!

42 Multiplying and Dividing Integers RULES: 1) When multiplying or dividing integers with the same signs, the answer will be positive.

43 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. Write these rules in your notebook!

44 Multiplying and Dividing Integers Homework Time!