divide by multiples of 10 hw 11 - lpswp.lps.org/jbirdsa/files/2011/07/gr04mathch11allhwre.pdf ·...

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Name: ___________________________________ Date: _________________ © Lincoln Public Schools, 2013 4 th Grade Math Divide by Multiples of 10 Practice to review… I can use basic facts and mental math to divide! I can find the quotient of 200÷ 50 I know that 20÷ 5 = _____ I know that 200 is equivalent to 20 tens , (20 tens) ÷ (5 tens) = _____ and 50 is equivalent to 5 tens 200÷ 50 = _____ I can also find the quotient of 2,000÷ 50 I know that 2,000 is equivalent to 200 tens , (200 tens) ÷ (5 tens) = _______ and 50 is equivalent to 5 tens 2,000÷ 50 = _______ Practice to remember… Use basic facts and patterns to find each product. 1. 54 ÷ 6 2. 540 ÷ 6 3. 5,400 ÷ 6 4. 5,400 ÷ 60 _________ _________ _________ _________ 5. 280 ÷ 7 6. 28,000 ÷ 7 7. 28 ÷ 7 8. 28,000 ÷ 70 _________ _________ _________ _________ 9. 50 2 , 500 ) 10. 60 4 , 800 ) 11. 90 360 ) 12. 20 18 , 000 ) Solve. Use pictures, numbers, or words to show how you know. 13. Peter has 150 pieces of candy to be divided equally among 30 classmates. How many pieces of candy does each classmate get? Show how you know. Chapter 11 Division HW 11.1A How many groups of (5 tens) are in (20 tens)? How many groups of (5 tens) are in (200 tens)?

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Page 1: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date:_________________

© Lincoln Public Schools, 2013 4th Grade Math

Divide by Multiples of 10 Practice to review… I can use basic facts and mental math to divide!

I can find the quotient of 200÷50 I know that 20÷5 = _____

I know that 200 is equivalent to 20 tens, (20 tens) ÷ (5 tens) = _____

and 50 is equivalent to 5 tens 200÷50 = _____

I can also find the quotient of 2,000÷50

I know that 2,000 is equivalent to 200 tens, (200 tens) ÷ (5 tens) = _______

and 50 is equivalent to 5 tens 2,000÷50 = _______

Practice to remember…Use basic facts and patterns to find each product.

1. 54 ÷ 6 2. 540 ÷ 6 3. 5,400 ÷ 6 4. 5,400 ÷ 60

_________ _________ _________ _________

5. 280 ÷ 7 6. 28,000 ÷ 7 7. 28 ÷ 7 8. 28,000 ÷ 70

_________ _________ _________ _________

9.

50 2,500) 10.

60 4,800) 11.

90 360) 12.

20 18,000)Solve. Use pictures, numbers, or words to show how you know.

13. Peter has 150 pieces of candy to be divided equally among 30 classmates. How manypieces of candy does each classmate get? Show how you know.

Chapter 11

Division

HW 11.1A

How many groups of (5 tens) are in

(20 tens)?

How many groups of (5 tens) are in (200 tens)?

Page 2: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date:_________________

© Lincoln Public Schools, 2013 4th Grade Math

Remembering Practice for fluency…Which property of addition is modeled by the equation?

14.

37 + 53 = 53+ 37 15.

37 + (3+ 50) = (37 + 3) + 50

a. Zero Property a. Zero Property

b. Community Property b. Community Property

c. Commutative Property c. Commutative Property

d. Associative Property d. Associative Property

965,304,425 18,076,542

16. Write the place of the underlined digit.

_____________________________

18. Write the place of the underlined digit.

_____________________________

17. Write the value of the underlined digit.

_____________________________

19. Write the value of the underlined digit.

_____________________________

Answer each question. Use pictures, numbers, or words to show how you know.

20. Jack is thinking of a division equation. The quotient of Jack’s divisionequation is 1. What do you know for sure about the dividend anddivisor in Jack’s division equation? Show how you know.

21. The population of Westbrook is 57,588. Eastlake has a population of 42,005. There are87,477 people living in Northfork. About how many more people live in Northfork than inWestbrook? Show how you know.

Chapter 11

Division

RE 11.1A

?÷? =1

Page 3: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date:_________________

© Lincoln Public Schools, 2013 4th Grade Math

Divide by Multiples of 10 Practice to review… I can use basic facts and mental math to divide! I can use mental math to divide by multiples of 10 when I solve problems with words.

There are 1500 students at Mathville Elementary School. If there are 30 students in each class, how many classes are there?

UNDERSTAND This story is about __________________________________________________________.

PLAN I know for sure that Mathville Elementary School has _________ students.

I also know that there are _________ students in each class.

Think about the story. The students are in equal sized classes!

SOLVE I can divide! Write your division equation here. !

There are _________ classes at Mathville Elementary School.

LOOK BACK Think about your division equation. What is a related multiplication fact? I can use multiplication to check if the answer is reasonable!

Practice to remember…Solve. Use pictures, numbers, or words to show how you know.

1. A stadium can seat 30,000 people. If each row can seat 50 people, how many rows arethere? Show how you know.

2. Ticket sales for a concert totaled $24,000. If each ticket sold for $30, how many ticketswere sold? Show how you know.

Chapter 11

Division

HW 11.1B

Page 4: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date:_________________

© Lincoln Public Schools, 2013 4th Grade Math

Practice to remember…Solve. Use pictures, numbers, or words to show how you know.

3. Charlie opened a savings account. Each week he deposited the same amount of money. After20 weeks, he had $800. How much money did he deposit each week?

Remembering Practice for fluency…

4. What is the product of 60 and 200? 5. What is the product of 600 and 50?

a. 120 a. 300

b. 1,200 b. 3,000

c. 12,000 c. 30,000

d. 120,000 d. 300,000

Answer each question. Use pictures, numbers, or words to show how you know.

6. Yuki drove 1,765 miles. Georgia drove 2,010 miles. David drove 1,756 miles. Order thedistances they drove from least to greatest. Show how you know.

7. Kaylee bought an orb spider for $2.39 and a wolf spider for $3.49. She paid with a ten–dollar bill. How much change should Kaylee receive?

Chapter 11

Division

RE 11.1B

Page 5: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

HW 11.3

Model Division by Two-Digit Divisors Practice to review… I can use place value models to divide!

I can use a place value model to find the quotient of 45 ÷ 11.

First, I can estimate the quotient. An estimate will help me know if my answer is reasonable!

45 ÷ 11 is about                              

because                               ÷                               =                              

How can I share  45  equally into 11 groups or into groups of 11?

Repeated Subtraction Regrouping

!11 45 !11 45

Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking.

1. !36 79 2. !27 86 3. !24 48

Page 6: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

RE 11.3

Remembering Practice for fluency…

4. Rule: 𝑏 = 𝑎 + 6 If 𝑎 = 3, what is the value of 𝑏?

5. Rule: 𝑞 = 𝑝  ×  5 If 𝑞 = 20, what is the value of 𝑝?

a. 2 b. 3 a. 4 b. 15

c. 9 d. 18 c. 25 d. 100

Insert parentheses to make the expression have a value of 10. Tell if no parentheses are needed.

6. 30 + 20 ÷ 5 7. 3 + 14 ÷ 2

8. 1 + 27 ÷ 3 9. 9 − 7  ×  5

Answer each question.

10. Name the polygon. If the polygon is a quadrilateral, write all the names that apply.

11. Jessica collected 87 glass bottles on Monday, 58 on Tuesday, 92 on Wednesday, 72 on Thursday, and 61 on Friday. What is the mean number of bottles she collected in a day? Show your thinking.

Page 7: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

HW 11.4

One-Digit Quotients Practice to review… I can divide when the quotient has one digit!

I can use different strategies to find the quotient of 178 ÷ 43.

First, I can estimate the quotient. An estimate will help me know if my answer is reasonable!

178 ÷ 43 is about                              

because                               ÷                               =                              

Repeated Subtraction Regrouping

!43 178 !43 178

Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking.

1. !23 47 2. !11 56 3. !15 80

4. !41 251 5. !81 724 6. !29 216

Page 8: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

RE 11.4

Remembering Practice for fluency…

How is the number written in standard form? 7. 1,000,000+ 300,000+ 2,000+ 900+ 50+ 6 8. 500,000,000+ 8,000,000+ 200,000+ 60+ 7

a. 132,956 b. 1,032,956 a. 58,267 b. 58,200,067

c. 1,302,956 d. 1,329,560 c. 508,200,067 d. 582,000,067

Use basic facts and mental math to divide.

9. 270 ÷ 90 =                               10. 56,000 ÷ 80 =                              

11. 18,000 ÷ 60 =                               12. 800 ÷ 80 =                              

Answer each question.

13. Matt’s total bill including tax was $40.86. He paid $1.95 in tax. How much did Matt owe without tax? Show how you know.

14. The distance from Sue’s house to her grandparents’ house is 540 miles. They drove the same number of miles each day and arrived in 6 days. How far did they drive each day? Show how you know.

Page 9: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

HW 11.5

Two-Digit Quotients Practice to review… I can divide when the quotient has two digits!

I can use different strategies to find the quotient of 488 ÷ 23.

First, I can estimate the quotient. An estimate will help me know if my answer is reasonable!

488 ÷ 23 is about                              

because                               ÷                               =                              

Repeated Subtraction Regrouping

!23 488 !23 488

Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking.

1. !27 804 2. !14 379 3. !42 765

4. !52 949 5. !47 728 6. !42 1,421

Page 10: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

RE 11.5

Remembering Practice for fluency…

7. Let 𝑐 stand for the number of chairs. Which expression shows 5 more than the number of chairs?

8. Evaluate the expression when 𝑛 = 4.

20 − 𝑛

a. 5𝑐 b. 𝑐 − 5 a. 5 b. 16

c. 𝑐 + 5 d. 𝑐 ÷ 5 c. 24 d. 80

Divide.

9. 60 ÷ 5 =                               10. 83 ÷ 7 =                              

11. 86 ÷ 7 =                               12. 45 ÷ 4 =                              

Answer each question.

13. Is the area of the living room larger or smaller than the sum of the areas of the kitchen and the dining room? By how much? Show your thinking.

14. A rectangular drawing has a width of 9 inches and a perimeter of 40 inches. What is the length of the drawing? Show how you know.

Page 11: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

HW 11.7

Multistep Problems Practice to review… I can solve multistep problems! I can solve problems that have more than one step. Abby has 4 dozen plants. She needs to divide them into cartons that hold 6 plants each. How many of these cartons can she fill?

UNDERSTAND This story is about __________________________________________________________.

PLAN I know for sure that Abby has _________ dozen plants.

I also know that she will put _________ plants in each carton.

Think about the story. How many plants does Abby actually have?

SOLVE I know that there are _________ plants in a dozen!

Show your thinking here. ¨

How many plants does Abby need to divide into cartons? How many cartons will be needed? How do you know?

Abby will fill _________ cartons with plants.

LOOK BACK Read the story again. How many cartons does Abby fill with 1 dozen plants? What is another strategy I could use to check my thinking?

Practice to remember… Solve. Use pictures, numbers, or words to show how you know.

1. At the garden shop, small plants cost $1.25 and large plants cost $2.25. How much will 3 small plants and 1 large plant cost? Show how you know.

THINK

Page 12: Divide by Multiples of 10 HW 11 - LPSwp.lps.org/jbirdsa/files/2011/07/Gr04MathCh11allHWRE.pdf · 2015-04-28 · Divide by Multiples of 10 Practice to review ... Model Division by

Name: ___________________________________ Date: _________________

© Lincoln Public Schools, 2013 4th Grade Math

Chapter 11

Divide by Two-Digit Divisors

RE 11.7

Practice to remember, continued… Solve. Use pictures, numbers, or words to show how you know. 2. On Monday, Abby sold 10 cartons with 8 plants in each carton. On Tuesday, she sold 42

plants. How many more plants did she sell on Monday? Show how you know.

Remembering Practice for fluency…

3. Ura bicycled 2,489 miles in 2003. In 2004, she bicycled 2,892 miles. How many more miles did she bicycle in 2004 than in 2003?

4. CDs are packaged six to a box and sell for $5. Which number sentence would be used to find out how many boxes are needed to package 126 CDs?

a. 400 b. 403 a. 126 − 5 = b. + 6 = 126

c. 304 d. 300 c. 126 ÷ 6 = d. 6  ×  126 =

Write each fraction in simplest form. Write two equivalent fractions.

5. 69 = 7.

12 = =

6. 810 = 8.

34 = =

Answer each question.

9. Nia has 521 stamps in her collection. Frida has 498 stamps in her collection. How many more stamps does Frida need in order to have more stamps than Nia? Show how you know.