lesson 3-1: meanings for multiplication: seatwork · web view4. 15 x 1 = 15 property used _____ 5....
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Chapter 3 Multiplication and Division: Concepts and FactsLesson 3-1: Meanings for Multiplication: Seatwork
Write an addition sentence and a multiplication sentence for each picture
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Draw an array for 6 X 3 Draw an array for 4 X 5
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-1: Meanings for Multiplication: Seatwork
Write a multiplication sentence for each addition sentence.
1. 6+6+6+6+6 = 30 ______________________________________
2. 7+7+7+7 = 28 ______________________________________
3. 8+8+8 = 24 ______________________________________
4. 9+9+9+9+9+9+9 = 63 ______________________________________
5. 3+3+3+3= 12 ______________________________________
There are 7 haunted houses on Mockingbird lane. Each house has four ghosts. How many ghosts are there in all?
4 x 5 = _______ 4 x 3 = _______
4 x 6 = _______ 4 x 8 = _______
4 x 7 = _______ 4 x 11 = _______
4 x 10 = _______ 4 x 0 = _______
4 x 2 = _______ 4 x 12 = _______
4 x 6 = _______ 4 x 9 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-1: Meanings for Multiplication: Homework
Write an addition sentence and a multiplication sentence for each picture
Draw an array for 3 X 7 Draw an array for 9 X 3
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Chapter 3 Multiplication and Division: Concepts and FactsLesson 3-1: Meanings for Multiplication: Homework
Write a multiplication sentence for each addition sentence.
1. 8+8+8+8+8 = 40 ______________________________________
2. 5+5+5+5 = 20 ______________________________________
3. 12+12+12 = 36 ______________________________________
4. 4+4+4+4 = 16 ______________________________________
5. 11+11+11+11= 44 ______________________________________
There are 6 ghosts in each room of Mr. Adlin’s house. He has 7 rooms in his house. How many ghosts are there in all?
7 x 5 = _______ 7 x 3 = _______
7 x 6 = _______ 7 x 8 = _______
7 x 7 = _______ 7 x 11 = _______
7 x 10 = _______ 7 x 0 = _______
7 x 2 = _______ 7 x 12 = _______
7 x 6 = _______ 7 x 9 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Seatwork
Commutative Property of multiplication: two numbers can be multiplied in any order and the product is the same
3 x 4 = 4 x 3
Identity Property of Multiplication : the product of any number and one is that number
13 x 1 = 13
Zero Property: the product of any number and zero is zero9 x 0 = 0
Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, & Identity Property of Multiplication
1. 12 x 9 = 9 x 12 property used _____
2. 24 x 0 = 0 property used _____
3. 8 x 4 = 4 x 8 property used _____
4. 18 x 1 = 18 property used _____
5. 1 x 98 = 98 property used _____
6. 13 x 0 = 0 property used _____
The product of two numbers is 63. One of the numbers is 63. What is the other factor? What property is being used?____________________________________________________________________________________________________________
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Chapter 3 Multiplication and Division: Concepts and Facts____________________________________________________________________________________________________________Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Seatwork
Solve
9 x 5 = _______ 5 x 7 = _______
9 x 2 = _______ 5 x 8 = _______
9 x 1 = _______ 2 x 11 = _______
9 x 0 = _______ 5 x 0 = _______
2 x 7 = _______ 5 x 12 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts2 x 6 = _______ 5 x 11 = _______
Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Homework
Commutative Property of multiplication: two numbers can be multiplied in any order and the product is the same
3 x 4 = 4 x 3
Identity Property of Multiplication : the product of any number and one is that number
13 x 1 = 13
Zero Property: the product of any number and zero is zero9 x 0 = 0
Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, & Identity Property of Multiplication
1. 1 x 9 = 9 property used _____
2. 24 x 13 = 13 x 24 property used _____
3. 78 x 0 = 0 property used _____
4. 18 x 1 = 18 property used _____
5. 0 x 98 = 0 property used _____
6. 113 x 1 = 113 property used _____
One factor of a product is 42 the other factor is 0 . What is the product? What property is being used?
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Chapter 3 Multiplication and Division: Concepts and Facts________________________________________________________________________________________________________________________________________________________________________________________________________________________
Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Homework
Solve
5 x 5 = _______ 2 x 7 = _______
5 x 2 = _______ 2 x 8 = _______
5 x 1 = _______ 2 x 11 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts5 x 0 = _______ 2 x 0 = _______
5 x 7 = _______ 2 x 12 = _______
5 x 6 = _______ 2 x 11 = _______
Lesson 3-3: Using Known facts to Find Unknown Facts: Seatwork
Distributive Property: Shows that you can break apart facts to find the product
13 x 4 = ?????
You know 10 + 3 = 13….. You know that 10 x 4 = 40 and 3 x 14 = 12And 40 = 12 = 52
Therefore 13 x 4 = (10 x 4 ) + (3 x 4) = 52
Use the distributive property to solve the problems below.
15 x 3 = _______ 22 x 7 = _______15 = 10 + 5 so 22 = 20 + 2 so(10 x 3) + (5 x 3) = (20 x 7) + (2 x 7) = _______ (30) + (15) = _______ (140) + (35) = _______
17 x 4 = _______ 34 x 3 = _______17 = 10 + 7 so 34 = 30 + 4 so
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Chapter 3 Multiplication and Division: Concepts and Facts(10 x 4) + (7 x 4) = (30 x 3) + (4 x 3) = _______ (40) + (28) = _______ (90) + (12) = _______
16 x 9 = _______ 31 x 5 = _______16 = 10 + 6 so 31 = 30 + 1 so(10 x 9) + (6 x9 ) = (30 x 5) + (1 x 5) = _______ (90) + (54) = _______ (150) + (5) = _______Lesson 3-3: Using Known facts to Find Unknown Facts: Seatwork
Now try and solve these one your own. Use the same steps
27 x 5 = _______ 29 x 9 = _______
38 x 5 = _______ 53 x 9 = _______
46 x 5 = _______ 28 x 9 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts
92 x 5 = _______ 35 x 9 = _______
Lesson 3-3: Using Known facts to Find Unknown Facts: Homework
Distributive Property: Shows that you can break apart facts to find the product
13 x 4 = ?????
You know 10 + 3 = 13….. You know that 10 x 4 = 40 and 3 x 14 = 12And 40 = 12 = 52
Therefore 13 x 4 = (10 x 4 ) + (3 x 4) = 52
Use the distributive property to solve the problems below.
22 x 3 = _______ 15 x 7 = _______22 = 20 + 2 so 15 = 10 + 5 so (20 x 3) + (2 x 3) = (10 x 7) + (5 x 7) = _______ (60) + (6) = _______ (70) + (35) = _______
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Chapter 3 Multiplication and Division: Concepts and Facts34 x 4 = _______ 17 x 3 = _______34 = 30 + 4 so 17 = 10 + 7 so (30 x 4) + (4 x 4) = (10 x 3) + (7 x 3) = _______ (120) + (16) = _______ (30) + (21) = _______
31 x 9 = _______ 16 x 5 = _______31 = 30 + 1 so 16 = 10 + 6 so(30 x 9) + (1 x9 ) = (10 x 5) + (6 x 5) = _______ (270) + (9) = _______ (50) + (30) = _______Lesson 3-3: Using Known facts to Find Unknown Facts: Homework
Now try and solve these one your own. Use the same steps
29 x 9 = _______ 51 x 5 = _______
93 x 3 = _______ 56 x 5 = _______
43 x 9 = _______ 18 x 3 = _______
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Chapter 3 Multiplication and Division: Concepts and Facts
48 x 9 = _______ 53 x 9 = _______
Lesson 3-4: Multiplying By 10, 11, & 12: Seatwork
What are the patterns for multiples of 10, 11, and 12?
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Chapter 3 Multiplication and Division: Concepts and Facts
Describe a rule to find a multiple of 10. _____________________________
How could use the Distributive Property to solve 12 x 9? __________________ ___________________________________________Solve
11 x 5 = _______ 12 x 7 = _______
11 x 2 = _______ 12 x 8 = _______
11 x 1 = _______ 12 x 11 = _______
11 x 0 = _______ 12 x 0 = _______
Lesson 3-4: Multiplying By 10, 11, & 12: HomeworkSolve: Please study the facts you are not sure about
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Chapter 3 Multiplication and Division: Concepts and Facts1 x 10 = _____ 1 x 11 = _____ 1 x 12 = _____
2 x 10 = _____ 2 x 11 = _____ 2 x 12 = _____
3 x 10 = _____ 3 x 11 = _____ 3 x 12 = _____
4 x 10 = _____ 4 x 11 = _____ 4 x 12 = _____
5 x 10 = _____ 5 x 11 = _____ 5 x 12 = _____
6 x 10 = _____ 6 x 11 = _____ 6 x 12 = _____
7 x 10 = _____ 7 x 11 = _____ 7 x 12 = _____
8 x 10 = _____ 8 x 11 = _____ 8 x 12 = _____
9 x 10 = _____ 9 x 11 = _____ 9 x 12 = _____
10 x 10 = _____ 10 x 11 = _____ 10 x 12 = _____
11 x 10 = _____ 11 x 11 = _____ 11 x 12 = _____
12 x 10 = _____ 12 x 11 = _____ 12 x 12 = _____
George has 9 coins.
If all of George’s coins are dimes, how much money does he have? __________
If all of George’s coins are nickels, how much money does he have? __________
If George has nickels and five dimes , how much money does he have? ______
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-5: Make a Table: Seatwork
Sometimes making a table can help to solve word problems. Use the tables below to help you represent what you know.
Squidward collected 6 clarinets a day. Patrick collected 4 rocks a day. How many objects did each character collect at the end of the week.
Sunday Monday Tuesday Wed Thursday Friday Saturday TOTAL
Squid6
Pat4
Spongebob can make 7 crabby patties a minute. Squidward can only make 3 crabby patties a minute. How many crabby patties did Squidward make when Spongebob made 35 patties
minutes 1 2 3 4 5 6 7 8Squid
3
Sponge7
Flapjack wants to buy a gumdrop for each day. Each Gumdrop costs $.05. Captain Cannuckles wants to buy chocolate for $.07. How much will each character spend at the end of the week?
Sunday Monday Tuesday Wed Thursday Friday Saturday TOTALFlapjack
5
Cannuckle7
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Chapter 3 Multiplication and Division: Concepts and Facts Lesson 3-5: Make a Table: Homework
Sometimes making a table can help to solve word problems. Use the tables below to help you represent what you know.
Spongebob can read 8 Mermaid Man & Barnacle Boy comic books a day. Patrick ate 6 comic books a day. At the end of the week how many book did spongebob read and Patrick eat?
Sunday Monday Tuesday Wed Thursday Friday Saturday TOTAL
8
6
How many comic books does Spongebob read by the end of the week?
How many comic books does Patrick eat by the end of the week?
When did each character have 24 comic books finished?
If the project continued for another week, how many comic books would Spongebob have read?What would Patrick have (besides a stomachache !)?
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-7: Relating Multiplication and Division: Seatwork
is the inverse operation of24 = 8 x 3
Just like multiplication, Each number in division has a name too
or
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Chapter 3 Multiplication and Division: Concepts and Facts
Lesson 3-7: Relating Multiplication and Division: SeatworkLook at the following problems. Label each term at dividend, divisor, or quotient.
42 ÷ 6 = 7
________________ ________________ __________________
56 ÷ 7 = 8
________________ ________________ __________________
21 ÷ 3 = _____ 18 ÷ 6 = _____ 30 ÷ 5 = _____
24 ÷ 4 = _____ 14 ÷ 7 = _____ 32 ÷ 4 = _____
27 ÷ 9 = _____ 15 ÷ 3 = _____ 33 ÷ 3 = _____
25 ÷ 5 = _____ 12 ÷ 6 = _____ 35 ÷ 5 = _____
24 ÷ 8 = _____ 18 ÷ 2 = _____ 36 ÷ 4 = _____
22 ÷ 11 = _____ 16 ÷ 4 = _____ 36 ÷ 3 = _____
SolveYou want to plant twenty pumpkins in 4 rows. How many pumpkins should you put in each row?
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Chapter 3 Multiplication and Division: Concepts and Facts________________________________________________________________
A graveyard holds 8 skeletons. How many graveyards could you fill with 32 skeletons?
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Lesson 3-7: Relating Multiplication and Division: HomeworkLook at the following problems. Label each term at dividend, divisor, or quotient.
72 ÷ 6 = 12
________________ ________________ __________________
72 ÷ 9 = 8
________________ ________________ __________________
40 ÷ 5 = _____ 54 ÷ 6 = _____ 60 ÷ 5 = _____
42 ÷ 7 = _____ 56 ÷ 7 = _____ 64 ÷ 8 = _____
44 ÷ 4 = _____ 55 ÷ 5 = _____ 63 ÷ 7 = _____
48 ÷ 8 = _____ 50 ÷ 5 = _____ 66 ÷ 6 = _____
49 ÷ 7 = _____ 48 ÷ 8 = _____ 72 ÷ 9 = _____
48 ÷ 4 = _____ 36 ÷ 6 = _____ 81 ÷ 9 = _____
Solve
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Chapter 3 Multiplication and Division: Concepts and FactsYou have 18 goblins to pass out equally to each trick or treater. How many goblins should you give to 6 trick or treaters.
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You need to arrange 32 bats equally into their caves. How many bats would you put equally into 8 caves?
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Lesson 3-8: Division Facts: Seatwork
Using Multiplication facts can help you to divide. Multiplication and division are inverse operations.
72 ÷ 9 = _____ 32 ÷ 4 = _____ 54 ÷ 6 = _____
81 ÷ 9 = _____ 40 ÷ 5 = _____ 45 ÷ 9 = _____
64 ÷ 8 = _____ 24 ÷ 3 = _____ 63 ÷ 7 = _____
63 ÷ 9 = _____ 56 ÷ 8 = _____ 36 ÷ 4 = _____
35 ÷ 7 = _____ 88 ÷ 8 = _____ 72 ÷ 9 = _____
48 ÷ 6 = _____ 96 ÷ 8 = _____ 27 ÷ 9 = _____
56 = 6
3 = 42 = 2
7 =
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Chapter 3 Multiplication and Division: Concepts and Facts8 7 6 9
Want to make your own division sign? Hold down the Alt key and then type 0247 on the numeric keypad and you will get a ÷
Is the quotient of 36 ÷ 4 greater than or less than the quotient of 36 ÷ 9? Explain.
Lesson 3-8: Division Facts: Homework
Using Multiplication facts can help you to divide. Multiplication and division are inverse operations.
72 ÷ 6 = _____ 36 ÷ 4 = _____ 24 ÷ 6 = _____
21 ÷ 7 = _____ 45 ÷ 5 = _____ 55 ÷ 9 = _____
54 ÷ 9 = _____ 27 ÷ 3 = _____ 35 ÷ 7 = _____
63 ÷ 7 = _____ 36 ÷ 4 = _____ 32 ÷ 4 = _____
32 ÷ 8 = _____ 48 ÷ 8 = _____ 63 ÷ 9 = _____
42 ÷ 6 = _____ 56 ÷ 8 = _____ 45 ÷ 9 = _____
48 = 3
5 = 24 = 3
6 =
8 7 6 9
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Chapter 3 Multiplication and Division: Concepts and FactsA mustard pizza has 15 slices. Five people want to share the pizza. How many slices will each person get?
A large box of Cucumber cereal costs $3. How many boxes can you buy for $12?
Lesson 3-9 & 10: Division Facts: Seatwork
...if you have 0 pumpkins and you divide it by 3 people, how many
oranges do 3 people get?You can not divide zero into smaller parts. Therefore zero divided by any number is always zero.
Also remember that any number divided by one is that same number.
Directions: Read the problems and write a multiplication sentence for problem. Then solve each problem.
Tim goes out to lunch with Benny and Joan. The total bill came to 24 dollars. They decided to equally split up the bill, how much will each person have to pay?
Tom has 18 yellow balloons. He wants to give his six friends the same number of yellow balloons, how many will each friend get ?
Sandy was at the beach for five days and found 12 seashells. She plans to give all of her seashells equally to her four friends. How many seashells will each friend get ?
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Chapter 3 Multiplication and Division: Concepts and Facts
There were a total of 9 hockey games during the three month season. If the games are equally divided, how many hockey games are played a month ?
Tom, Fred, and Mike have 24 pencils all together. If the pencils are equally divided, how many will each person get ?
Mary has 15 dollars in five dollar bills. How many five dollars bills does she have ?
Lesson 3-9 & 10: Division Facts: Homework
...if you have 0 pumpkins and you divide it by 3 people, how many
oranges do 3 people get?You can not divide zero into smaller parts. Therefore zero divided by any number is always zero.
Also remember that any number divided by one is that same number.
Directions: Read the problems and write a multiplication sentence for problem. Then solve each problem.
Melanie goes out to lunch with Sara and Alyssa. The total bill came to 18 dollars.They decided to equally split up the bill, how much will each person have to pay?
A restaurant sold 21 hamburgers last week. How many hamburgers on average were sold each day ?
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Chapter 3 Multiplication and Division: Concepts and FactsJason has 18 black balloons. He wants to give his six friends the same number of black balloons, how many will each friend get ?
Alyssa worked 15 hours in the last five days. Assuming that she worked the same amount of hours each day, how long did she work each day ?
Sally has 30 cents in her bank. How many nickels does Sally have ?
Fred has 42 candy bars. He wants to give his six friends the same number of green balloons, how many will each friend get ?
Lesson 3-11: Multi-stepped problems: SeatworkIndentifying hidden questions helps you to solve multiple stepped problems.
Tucker has 5 blue envelopes. He has 3 fewer yellow envelopes than blue envelopes. He has 3 times as many green envelopes as yellow envelopes. How many envelopes does Tucker have in all?
There are 4 bicycles and 13 cars in the garage at Sean's apartment building. How many wheels are there in the garage?
Sidney has 6 white buttons. She has 2 fewer brown buttons than white buttons. Sidney has 18 more gray
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Chapter 3 Multiplication and Division: Concepts and Factsbuttons than brown buttons. How many buttons does Sidney have in all?
Ashlee saved $36 in September. She saved $10 in October and $32 in November. Then Ashlee spent $22 on a video game. How much money does Ashlee have left?
Lily and Kirsten had breakfast at a cafe. Muffins cost $3 each, and fruit cups cost $5 each. Lily had 1 muffin and 2 fruit cups. Kirsten had 2 muffins and 2 fruit cups. How much did their breakfast cost?
Lesson 3-11: Multi-stepped problems: Homework
Indentifying hidden questions helps you to solve multiple stepped problems.
Sara has 6 red beads, and she has 2 fewer yellow beads than red beads. Sara also has 5 more green beads than red beads. How many beads does Sara have in all?
The swimming club went to a swim meet in another town. They took 3 cars and 4 vans. There were 2 people in each car and 6 people in each van. How many people went on the trip?
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Chapter 3 Multiplication and Division: Concepts and FactsVivian wants to ride the bumper cars 5 times and the Ferris wheel 2 times. It costs 3 tickets to ride the bumper cars and 2 tickets to ride the Ferris wheel. How many tickets does Vivian need?
Charlie bought 9 books about plants and 1 book about fish. He also bought 2 science magazines. Each book cost $6 and each magazine cost $6. How much did Charlie spend in all?
In Ying's toy bin there are 24 red blocks. There are 17 more yellow blocks than red blocks. There are also 14 more blue blocks than red blocks. How many blocks are there in all?
Lesson 3-12: Evaluating Expressions: SeatworkSolve:
1 ) y= 3 6 ) y = 6(12 ÷ y) x 5 +10 (9 – 1) ÷ 4 x y
2 ) y = 3 7 ) y = 620 ÷ 4 – (1 + y) (16 – y) x (14 ÷ 2)
3 ) y = 4 8 ) y = 6
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Chapter 3 Multiplication and Division: Concepts and Facts
25 – (12 ÷ y) x 5 16 - 18 ÷ y + 6
4 ) y = 8 9 ) y = 1816 ÷ (4 x 4) + y 2 + y ÷ 2 - 1
5 ) y = 6 10 ) y = 74 + 12 ÷ 3 x y 2 + 4 x y - 9
Lesson 3-12: Evaluating Expressions: Homework
1 ) y = 8 6 ) y = 6(2 + y ) x 8 + 4 2 x y x ( 2 + 3 )
2 ) y = 6 7 ) y = 9(15 +17 ) ÷( y - 2 ) (13 +17 ) ÷( y - 3 )
3 ) y = 5 8 ) y = 8
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Chapter 3 Multiplication and Division: Concepts and Facts
(21 - 14 ) x 10 + y 3 x y x ( 10 - 10)
4 ) y = 2 9 ) y = 4(14 + 28 - 2 ) ÷ y (11 + 4 ) + 12 ÷ y
5 ) y = 4 10 ) y = 8(11 - y ) + 8 ÷ 2 (12 + 32 - 4 ) ÷ y
Lesson 3-13: Find a Rule: Seatwork
A Rule can tell how one quantity is related to another
Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)
IN OUT6 38
1216
RULE n ÷ 2
IN OUT5 356 4278
RULE n
IN OUT22 11
1220
4RULE n ÷ 2
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Chapter 3 Multiplication and Division: Concepts and Facts
IN OUT63 9494256
RULE n ÷
IN OUT2 8468
RULE n x 4
IN OUT49 7423528 4
RULE n
IN OUT2 246
367
RULE n x 12
IN OUT3612
818
RULE n ÷ 3
IN OUT2114354
RULE n ÷ 7
IN OUT11 441210 409
RULE n
IN OUT1 54 20
257
RULE n
IN OUT4 1656
32RULE n
Lesson 3-13: Find a Rule: HomeworkA Rule can tell how one quantity is related to another
Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)
IN OUT6 28
1216
RULE n ÷ 3IN OUT5 40
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Chapter 3 Multiplication and Division: Concepts and Facts
6 4878
RULE n
IN OUT9 18
127
4RULE n x
IN OUT63 04942 056
RULE n
IN OUT2 16468
RULE n x 8
IN OUT56 7483224 3
RULE n
IN OUT24 2
636
7RULE n ÷ 12
IN OUT32 412
116
RULE n ÷
IN OUT24332736
RULE n ÷ 3
IN OUT11 221210 209
RULE n
IN OUT11 114 4
257
RULE n
IN OUT8 1656
24RULE n x
Lesson 3-14: PLACE VALUE REVIEW SEATWORK
1) Round to the nearest tenth. 8.54 8.
_________________
2) Round to the nearest thousandth. 99.5926 100
_________________
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Chapter 3 Multiplication and Division: Concepts and Facts
3) Round to the nearest tenth. 310.286 310.3
_________________
4) Round to the nearest thousandth. 6.4233 6
_________________
5) Round to the nearest thousandth. 6.8056 7
_________________
6) Round to the nearest tenth. 9.725 9.7
_________________
7) Round to the nearest hundredth. 118.380
118.38_________________
8) Round to the nearest tenth. 90.69 90.7
_________________
9) Round to the nearest tenth. 65.85 65.9
_________________
10) Round to the nearest thousandth. 70.5929 71
_________________
11) Round to the nearest hundredth. 76.684 76.68
_________________
12) Round to the nearest hundredth. 815.755
815.7_________________6
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Chapter 3 Multiplication and Division: Concepts and Facts
13) Round to the nearest tenth. 877.71 877.7
_________________
14) Round to the nearest hundredth. 12.261 12.26
_________________
15) Round to the nearest thousandth. 16.4 16
_________________
16) Round to the nearest thousandth. 95.8161 96
_________________
17) Round to the nearest hundredth. 2.408 2.41
_________________
18) Round to the nearest hundredth. 3.993 3.99
_________________
19) Round to the nearest thousandth. 76.377 76
_________________
20) Round to the nearest hundredth. 716.514 716
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Lesson 3-14: PLACE VALUE REVIEW HomeWORK
1) Round to the nearest hundredth. 416.424 416.
_________________2
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Chapter 3 Multiplication and Division: Concepts and Facts
2) Round to the nearest tenth. 8.68 8.7
_________________
3) Round to the nearest tenth. 9.641 9.
_________________
4) Round to the nearest tenth. 6.81 6.8
_________________
5) Round to the nearest thousandth. 3.5232 4
_________________
6) Round to the nearest hundredth. 44.522 44.
_________________5
7) Round to the nearest thousandth. 60.6278 61
_________________
8) Round to the nearest tenth. 55.757 55.8
_________________
9) Round to the nearest tenth. 4.510 4.5
_________________
10) Round to the nearest tenth. 53.27 53.3
_________________
11) Round to the nearest hundredth. 18.890 18.89
_________________
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Chapter 3 Multiplication and Division: Concepts and Facts
12) Round to the nearest thousandth. 44.3236 44
_________________
13) Round to the nearest hundredth. 140.132
140.1_________________3
14) Round to the nearest hundredth. 672.513 672.
_________________
15) Round to the nearest thousandth. 23.2325 23
_________________
16) Round to the nearest hundredth. 2.449 2.45
_________________
17) Round to the nearest thousandth. 799.7373 80
_________________0
18) Round to the nearest tenth. 33.75 33.8
_________________
19) Round to the nearest thousandth. 6.2448 6
_________________
20) Round to the nearest hundredth. 30.410 30.4
_________________
1 Lesson 3-14: PLACE VALUE REVIEW HomeWORK
Rounding Numbers
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Chapter 3 Multiplication and Division: Concepts and Facts
Remember Rounding means reducing the digits in a number while trying to keep its value similar. The result is less accurate, but easier to use.
Example: .73 rounded to the nearest tenth is .70, because .73 is closer to .70 than to .80.
Estimating is an important part of mathematics and a very handy tool for everyday life. Get in the habit of estimating amounts of money, lengths of time, distances, and many other physical quantities. Rounding off is a kind of estimating.
To round off decimals:
1. Find the place value you want (the "rounding digit") and look at the digit just to the right of it.
2. If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.
3. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.
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Chapter 3 Multiplication and Division: Concepts and Facts
Still having trouble? Try the link below.
http://www.virtualnerd.com/middle-math/decimals/estimating/round-decimal-place-value-exampleStudy Guide for the end of unit test.
Write an addition sentence and a multiplication sentence for each picture
Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, Associative Property of Multiplication& Identity Property of Multiplication
1. 10 x 9 = 10 x 12 property used _____
2. 14 x 0 = 0 property used _____
3. 8 x 5 = 5 x 8 property used _____
4. 15 x 1 = 15 property used _____
5. (2 x 6) x 5 = (2 x 5) x 6 property used _____
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____________________
____________________
____________________
Chapter 3 Multiplication and Division: Concepts and Facts
Use the distributive property to solve the problems below.
21 x 6 = _______ 15 x 5 = _______22 = 20 + 1 so 15 = 10 + 5 so (20 x 6) + (2 x 6) = (10 x 5) + (5 x 5) = _______ (120) + (12) = _______ (50) + (25) = _______
29 x 9 = _______ 51 x 5 = _______
Look at the following problems. Label each term at dividend, divisor, or quotient.
56 ÷ 8 =7
________________ __________________________________
Solve using your times tables.
48 ÷ 6 = _____ 96 ÷ 8 = _____ 27 ÷ 9 = _____
40 = 2
8 = 36 = 3
6 =
8 7 6 4
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Chapter 3 Multiplication and Division: Concepts and Facts
Directions: Read the problems and write a math sentence for the problem. Then solve each problem.
Melanie goes out to lunch with Sara and Alyssa. The total bill came to 18 dollars.They decided to equally split up the bill, how much will each person have to pay?
There are 4 bicycles and 13 cars in the garage at Sean's apartment building. How many wheels are there in the garage?
Solve:
1 ) y=6 2 ) y = 4(12 ÷ y) x 4 +2 (5 – 1)
÷ 2 x y
Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)
IN OUT12 6141822
RULE n ÷ 2
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Chapter 3 Multiplication and Division: Concepts and Facts
IN OUT7 496 4278
RULE n
1) Round to the nearest thousandth. 325.5357 416.
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2) Round to the nearest hundredth. 9.793 8.7
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3) Round to the nearest tenth. 9.641 9.
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AND DON’T FORGET TO STUDY YOUR TIMES TABLES!!!!!!!!
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