and Division Multiplication Properties and Division Ruleswp.lps.org/jbirdsa/files/2011/07/Gr04MathCh04allHWRE.pdf · Multiplication Properties and Division Rules Practice to review…
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Multiplication Properties and Division Rules Practice to review… I can use properties and rules to multiply and divide!
Property of One
The product of any number and one
is __________________ .
Zero Property
The product of any number and zero
is __________________ .
I can use the Property of One and Zero Property to understand Division Rules with one and zero.
I know 5÷1=_____ I know 0÷5=_____ I know 5÷0=_____
because I know 1×_____=5 because I know 5×_____=0 because I know 0×_____=5
The Associative Property of Multiplication
I can change the way factors are __________________
without changing the __________________ .
The Commutative Property of Multiplication
I can change the __________________ of factors
without changing the __________________ .
I can find the product of
€
5 × 2 × 3 in more than one way. Parentheses, ______, show me what to solve first.
I can solve
€
5 × 2 first. I can solve
€
2 × 3 first. I can solve
€
5 × 3 first.
€
(5 × 2) × 3 = × 3 =
€
5 × (2 × 3) = 5 × =
€
(5 × 3) × 2 = × 2 =
Practice to remember… Use mental math, properties of multiplication, and rules of division. Complete each equation. If there is no solution, show how you know.
Practice to remember, continued… Solve. Use pictures, numbers, or words to explain your thinking. 11. Jenna gave one sticker to every classmate. She has 20 classmates. How many stickers did she
give out? Show how you know.
Remembering Practice for fluency… What is the correct way to write each number in standard form?
a. 241.389 a. 9,762 b. 20,041,389 b. 97,602 c. 241,000,389 c. 907,602 d. 241,389 d. 976,002 Find each missing value.
14. 7,004 − 2,840=_____ 16. 2,999 + _____=5,320
15. $100 − $81=_____ 17. _____=4,000 − 335
Solve. Use pictures, numbers, or words to show how you know.
18. Brianna picked apples at Shelburne Orchards. She picked 17 macintosh apples, 49 golden delicious apples, and 83 red delicious apples. How many apples did she pick? Show how you know.
19. There are 112 books on the shelves and 28 books on the floor in Mr. Petrick’s office. How many books are there in Mr. Petrick’s office? Show how you know.
Remembering Practice for fluency… 7. Which is in order from least to greatest? 8. Which is in order from greatest to least?
a. 112,342 112,324 112,432 a. 1,980,452 1,890,452 1,098,452
b. 112,324 112,342 112,432 b. 1,098,452 1,890,452 1,980,452
c. 112,432 112,342 112,324 c. 1,890,452 1,980,452 1,098,452
d. 112,324 112,432 112,342 d. 1,980,452 1,098,452 1,890,452
Compare. Write >, <, or = for each . Find the missing value.
9. 8÷8 8÷1 11. _____÷5 = 0
10. 27÷27 48÷48 12. 28÷_____ = 28
Solve. Use pictures, numbers, or words to show how you know.
13. The home team was 46 yards away from the goal line. The team moved 17 yards toward the goal and then moved 7 yards away from the goal. How many yards away is the home team now? Show how you know.
14. Megan is in the band. She practices 55 minutes every day. Before lunch, she practiced for 18 minutes. How much longer does she need to practice? Show how you know.
Remembering Practice for fluency… 13. Which of the following is true? 14. Which of the following is true?
a. $42.86 < $42.68 a. 4 one-dollar bills < 1 one-dollar bill
b. $117.15 < $17.15 b. 6 quarters > 16 dimes
c. $170.28 = $17.28 c. 7 ten-dollar bills > 9 five-dollar bill
d. $180.46 > $118.64 d. 2 fifty-dollar bills < 3 five-dollar bills
Compare. Write >, <, or = for each .
15. 112,371 99,864 17. 4 ten thousands 7,000
16. 495,346 496,346 18. 50 thousands 5 ten thousands
Solve. Use pictures, numbers, or words to show how you know.
19. Sandy’s photography club at school sold photos to raise money for their club. They sold 123 landscapes. If the club sold 18 more landscapes than portraits, how many portraits did they sell? Show how you know.
20. There are 14 students in Mr. Brach’s fourth-grade class. What are the ways he can divide the students into equal groups? Show how you know.
Solve. Use pictures, numbers, or words to show how you know.
17. Nancy’s classroom has 32 desks. The desks are arranged in 4 equal rows. How many desks are in each row? Show how you know.
18. Douglas is sailing around the world on a boat for a year. His planned route will be a total of 38,024 nautical miles. In order to officially circumnavigate the globe, he has to travel at least 21,600 nautical miles. How much longer is Douglas’s trip than it is required to be? Show how you know.
Chapter 4 Multiplication and Division
RE 4.4 Name Date
Relate Multiplication and DivisionWrite the fact family for each array or set of numbers.
Use the table at the right to answer the questions. Use pictures, numbers, or words to show how you know.
16. Jim made some ornaments. He used a yard of felt, a container of glitter, and a red marker. About how much did it cost for Jim to make his ornaments? Show how you know.
17. Angie has $10 to spend at the craft store. She estimates that she has enough money to buy a bag of colored beads, a roll of yarn, two yards of felt, and a container of glitter. Do you agree with Angie’s estimation? Explain your thinking.
1. The art club bought 3 bags of pipecleaners. Round the cost of each bagof pipe cleaners to the nearest tencents to estimate how much the clubspent on pipe cleaners.
2. If the art club bought one of each itemon the list, about how much did theclub spend?
3. Jessie bought 2 containers of glitter.Jack bought 2 markers. About howmuch more did Jessie spend than Jack?
4. Jim made some ornaments using ayard of felt, a container of glitter, and ared marker. About how much did itcost to make the ornaments?
5. You Decide Angie has $10 to spendat the craft store. She estimates thetotal cost by rounding to the nearestdollar. She decides that she can buy abag of colored beads, a roll of yarn, 2yards of felt, and a container of glitter.Does Angie have enough money forthese items? Explain.
$10.20
$15
$4
$8
Craft Supplies
colored beads
yarn
glitter
felt
markers
pipe cleaners
$1.89 per bag
$2.15 per roll
$4.49 each
$1.12 per yard
$2.59 each
$3.38 per bag
Show your work.
No; the actual price is $10.77. When sheestimated, she rounded down, so the actualcost is greater than the estimate.
Estimate Sums and DifferencesThe art club is making crafts for a craft sale. The table showsthe cost of some craft supplies. Use the table for Problems 1–4.
Use the table at the right to answer the questions. Use pictures, numbers, or words to show how you know.
15. What is the value of the digit 4 in the number 546,328? Explain how you know.
16. Shelburne Orchards has a plot of Mitsu apple trees. The trees are planted in 8 rows. There are 7 trees in each row. How many Mitsu apple trees are in the plot? Show how you know.
Division with Remainders Practice to review… I can divide when there are remainders!
I can find the quotient of 21÷4 4 equal sized groups
€
4 21)− = ×
remainder
21÷4 = ______ R ______
OR
Groups of 4
Practice to remember… Divide.
1. 41 ÷ 7 = ____________ 2. 52÷ 9 = ____________
3. 44 ÷ 5 = ____________ 4. 16 ÷ 3 = ____________
5.
€
5 29) 6.
€
3 22) 7.
€
2 15) 8.
€
6 19)
9. Charlie is organizing books on his bookshelf. He owns 47 books. Charlie’s bookshelf has 6 shelves. Is there a way for Charlie to organize all of his books so that there are an equal number of books on every shelf? Explain your thinking.
Remembering Practice for fluency… 10. Which is in order from least to greatest? 11. Which is in order from least to greatest? a. 365,844 365,449 365,948 a. 3,199 9,133 3,199
b. 57,601 575,601 578,601 b. 50,625 56,525 55,625
c. 9,999 10,800 8,999 c. 642,111,543 681,111,543 645,111,543
Solve. Use pictures, numbers, or words to show how you know.
16. Frankie and Tyronne rode one of the longest roller coasters in the world. It is 8,158 feet long. Tyronne says it is about 8,000 feet long. Frankie says it is about 8,200 feet long. Who is correct? Explain your thinking.
17. There are 6 boys at a party. There are 3 times as many girls as boys at the party. How many children are there? Show how you know.
Solve Problems with Words Practice to review… I can use strategies to solve problems with words! I can write equations to solve problems with words.
Lincoln Elementary School is having a book sale as a fundraiser. The school has grades 1 through 5. Four students from each grade volunteered to help. How many students helped at the book sale? Show how you know.
UNDERSTAND This story is about __________________________________________________________.
PLAN I know for sure that the school has _________ grades.
I also know that _________ students from each grade helped at the sale.
Think about the story. Do we need to combine or separate students to solve the problem?
We need to ________________ the students from each grade that volunteered to help.
What operations can we use to combine groups of students?
We can _________________________ or _________________________ !
SOLVE Choose a strategy.
Combine _______ groups of _______.
How many students in all? _______
There are _______ student volunteers at the book sale.
LOOK BACK Let’s check… Write an equation to show how you counted the student volunteers. Does your answer make sense?
Practice to remember… Choose a strategy and show your thinking in the space provided.
1. Dylan bought 3 packages of 5 books at the book sale. How many books did Dylan buy? Show how you know.
Practice to remember, continued… Read the Math Story and answer the question. Choose a strategy to show your thinking in the space provided.
2. Betsy and her two sisters shared the cost of an expensive book. It cost $24. If each girl spent an equal amount, how much did each girl pay? Show how you know.
3. The school has a goal of donating 8 books to each classroom. If there are 5 classrooms, how many books need to be donated? Show how you know.
Remembering Practice for fluency… 4. Which statement is true? 5. Which statement is true?
a. 0 x 7 = 0÷ 7 a. A number can be divided by zero.
b. 0 x 7 = 0 + 7 b. A number cannot be divided by zero.
c. 7 x 1 = 7 + 1 c. A number cannot be multiplied by zero.
d. 7÷ 1 = 7 − 1 d. A number divided by itself always equals zero.
Solve Problems with Words Practice to review… I can use strategies to solve problems with words! I can write equations to solve problems with words.
Tina is organizing her comic books. The table at the right shows the number of issues she has for each books series. The Mission Man series groups its issues into 6-issue packs. How many packs of Mission Man does Tina own? Show how you know.
UNDERSTAND This story is about __________________________________________________________.
PLAN I know for sure __________________________________________________________.
I also know __________________________________________________________.
SOLVE Choose a strategy.
Show your thinking.
How many packs? _______
Tina owns _______ packs of Mission Man comic books.
LOOK BACK Write an equation to show how you solved the problem. Does your answer make sense?
Practice to remember… Choose a strategy and show your thinking in the space provided.
1. How many more issues of 4th Grade Spies does Tina own than issues of Detective Girl ?
Problem-Solving Decision:Choose the OperationUse the table below for Problems 1–3.
Tina is organizing her comic books. The table atthe right shows the number of issues she has foreach book series.
1. The Mission Man series groups itsissues into 6-issue packs. How manypacks of Mission Man does Tina own?
2. How many more issues of 4th GradeSpies does Tina own than issues ofDetective Girl?
3. Tina owns 12 magazine racks. Eachrack holds 10 comics. Does she haveenough racks to hold all of hercomics? If not, how many comics willbe left over?
Practice to remember, continued… Read the Math Story and answer the question. Choose a strategy to show your thinking in the space provided.
2. Tina owns 12 magazine racks. Each rack holds 10 comics books. Does she have enough racks to hold all of her comics? Show how you know.
Remembering Practice for fluency… 3. Which amount is greater than $3? 4. What is the greatest amount?
a. 3 quarters a. $2.85
b. 2 dollars and 3 quarters b. $2.25
c. 1 dollar and 9 quarters c. $3.75
d. 10 quarters d. $3.45
Complete each equation.
5. 10 ÷ _______ = 4 R 2 8. 10 ÷ 3 = 3 R _______
7. _______ ÷ 7 = 6 R 2 9. _______ ÷ 9 = 3 R 6
Answer the question. Use pictures, numbers, or words to show how you know. 10. When the product of two numbers is the same as one of the factors, what do you know
Problem-Solving Decision:Choose the OperationUse the table below for Problems 1–3.
Tina is organizing her comic books. The table atthe right shows the number of issues she has foreach book series.
1. The Mission Man series groups itsissues into 6-issue packs. How manypacks of Mission Man does Tina own?
2. How many more issues of 4th GradeSpies does Tina own than issues ofDetective Girl?
3. Tina owns 12 magazine racks. Eachrack holds 10 comics. Does she haveenough racks to hold all of hercomics? If not, how many comics willbe left over?