Chapter 4 Name: _______________________________________ Date: __________________ Estimate Quotients Practice to review…I can use basic facts and multiples to estimate quotients! Divide by One-­‐
Digit Numbers HW 4.1 I can use multiples of 6 to estimate the quotient of 1,759 ÷ 6. There are 17 hundreds in the number 1,759. THINK
Count by hundreds. What multiple of 6 is close to 1,759? Estimate. 1,759 ÷ 6 is about because ÷ 6 = Practice to remember… Estimate. Write the fact you used. 1. 33,203 ÷ 4 is about 2. because ÷ 4 = 3. 803,486 ÷ 9 5. 649 ÷ 8 11,955 ÷ 3 is about because ÷ 3 = fact: ___________________ 4. 2,479 ÷ 5 fact: ___________________ estimate: _______________ estimate: _______________ fact: ___________________ 6. 361,912 ÷ 7 fact: ___________________ estimate: _______________ estimate: _______________ Use basic facts and mental math to answer the question. 7. Seth estimated the quotient of 17,475 ÷ 6 as 3,000. What numbers did Seth use for the dividend and divisor to get this quotient? Is Seth’s estimate less than or greater than the actual quotient? Tell how you found your answer. © Lincoln Public Schools, 2014 5th Grade Math Chapter 4 Name: _______________________________________ Date: __________________ Remembering Practice for fluency… Divide by One-­‐
Digit Numbers RE 4.1 8. Malik has 1 ten-­‐dollar bill, 1 five-­‐dollar bill, 1 one-­‐dollar bill, 3 quarters, 3 dimes, and 2 pennies. How much money does Malik have? 9. Which is the greatest amount? a. 2 twenty-­‐dollar bills and 3 five-­‐dollar bills a. $3.77 b. $16.82 b. 1 twenty-­‐dollar bill and 2 ten-­‐dollar bills c. $16.97 d. $17.07 c. 1 fifty-­‐dollar bill and 3 five-­‐dollar bills d. 3 twenty-­‐dollar bills Find each product. Estimate to check your answers. 10. 44 × 617 ____________________ 11. 983 × 48 ____________________ 12. 82 × 43 ____________________ 13. 38 × 25 ____________________ Answer each question. Explain your thinking. 14. Alan and three friends split the cost of a gift. Write an expression that shows how much each person contributed for the gift. Then use the expression to determine how much Alan contributed if the gift cost $48. 15. Of the students at Clemente Elementary School, 0.12 are in the drama program, and 0.2 take art classes. Do more students take art or drama? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 5 Name: _______________________________________ Date: __________________ Divide by Multiples of 10, 100, and 1,000 Practice to review…I can use basic facts and mental math to divide! I can find the quotient of 12,000 ÷ 3 = 𝑛 I know that 12 ÷ 3 = I know that 12,000 is equivalent to 12 thousands, Divide (12 thousands) into 3 equal groups. How many in each group? 12 thousands ÷ 3 = thousands so 12,000 ÷ 3 = 12 thousands ÷ 3 I can also find the quotient of 2,000 ÷ 400 = 𝑛 Divide by Two-­‐
Digit Numbers HW 5.1 12,000 ÷ 3 = Divide (20 hundreds) into groups of (4 hundreds). How many groups? I know that 400 is equivalent to 4 hundreds 20 hundreds ÷ 4 hundreds = and 2,000 is equivalent to 20 hundreds 2,000 ÷ 400 = Practice to remember… Use basic facts and patterns to find each quotient. 1. 800 ÷ 4 _________ 5. 3,000 ÷ 500 _________ 2. 1,800 ÷ 6 _________ 6. 54,000 ÷ 900 _________ Compare. Choose >, <, or = for each 9. 2,100 ÷ 70 30 3. 2,400 ÷ 30 _________ 7. 1,800 ÷ 90 4. 3,500 ÷ 70 _________ 8. 4,200 ÷ 600 _________ 10.
400,000 ÷ 8,000 _________ . 500,000 Solve. Use pictures, numbers, or words to show how you know. 11. Matthew has 600 stickers to be divided equally among 20 students. H
ow many stickers should each student receive? © Lincoln Public Schools, 2014 5th Grade Math Chapter 5 Name: _______________________________________ Date: __________________ Remembering Practice for fluency… Divide by Two-­‐
Digit Numbers RE 5.1 12. Four friends shared ℎ buttons equally. Each 13. Evaluate the expression when 𝑛 = 24 friend received 8 buttons. Which equation could 36𝑛 you use to find the total number of buttons that the friends shared? a. 60 b. 624 a. 8 ÷ ℎ = 4 b. 4ℎ = 8 c. 744 c. ℎ ÷ 4 = 8 d. ℎ + 4 = 8 d. 864 Use the drawing to answer each question. 14. What is the name of this angle? ____________________ 15. What kind of angle is it? ____________________ 16. What is its vertex? ____________________ 17. What are its rays? ____________________ Answer each question. Explain your thinking. 18. Rosa has 120 red, white, and blue beads. She has three times as many red beads as white beads. She has twice as many blue beads as white beads. How many of each kind of bead does Rosa have? Show how you know. 19. The table shows the prices for three different computer printers. A company is ordering 10 printers. How much would it save by ordering Pro Lasers instead of Rainbow-­‐5s? Explain. Printer Smart Jet Rainbow-­‐5 Pro Laser Price $179 $950 $459 © Lincoln Public Schools, 2014 5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Divide by Two-­‐Digit Divisors HW 5.2/5.5A Practice to review…I can divide by a two-­‐digit divisor! I can use different strategies to find the quotient of 768
First, I can estimate the quotient. 768 ÷ 23 is about An estimate will help me know if my answer is reasonable! because ÷ Repeated Subtraction 23 768
!
÷ 23. = Regrouping 23 768
!
Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking. 1.
13 528
!
2.
56 619
!
3.
64 947
!
4.
51 872
!
5.
12 238
!
6.
36 726
!
© Lincoln Public Schools, 2014 5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Practice to remember, continued… RE 5.2/5.5A Answer the question. Show your thinking. 7. Last year, Max spent $336 on video games. If each game cost $48, how many video games did Max buy last year? Show how you know. Remembering Practice for fluency… 8. Jenna baked 45 muffins. She wants to divide 9. them equally among 7 friends. If each person gets the same number of muffins, how many will be left over? Evaluate the expression. a. 0 b. 7 a. 7 muffins b. 6 muffins c. 70 d. no solution c. 4 muffins d. 3 muffins 7 ÷ 0 Use patterns or mental math to find each product. 10. 70 × 40 = 11. 600 × 50 = 12. 80 × 900 = 13. 800 × 70 = Answer each question. Explain your thinking. 14. The Riverside Dance Theater sold 456 tickets for a ballet performance. Each ticket cost $29. How much money did the theater collect? Show how you know. 15. During the 1999– 2000 hockey season, a Philadelphia Flyers goalie allowed 1.91 goals per game. His teammate allowed 2.20 goals per game. How many fewer goals per game did the goalie allow than his teammate? Show how you know. © Lincoln Public Schools, 2014 5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Divide by Two-­‐Digit Divisors HW 5.2/5.5B Practice to review…I can divide greater numbers by two-­‐digit divisors! I can use different strategies to find the quotient of 15,286
First, I can estimate the quotient. An estimate will help me know if my answer is reasonable! ÷ 37.
15,286 ÷ 37 is about because ÷ =
Repeated Subtraction Regrouping 37 15,286
!
37 15,286
!
Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking. 1.
42 35,874
!
2.
© Lincoln Public Schools, 2016 30 23,498
!
3.
24 6,058
!
4.
34 45,720
!
5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Practice to remember, continued… RE 5.2/5.5B Answer the question. Show your thinking. 5. A local farm has 57 rows of soybean plants. If there are a total of 14,250 soybean plants, how many are in
each row? Show your thinking.
Remembering
Practice for fluency… 6.
Which is not a multiple of 7?
7.
Which is a multiple of 4?
a. 70
b. 49
a.
15
b.
25
c. 27
d. 7
c.
36
d.
42
Use mental math to solve each equation. 8. 7𝑣 = 35 𝑣 = 9.
𝑚÷7=9
10. 54 ÷ 𝑡 = 6
𝑡=
11. 16 = 4𝑝
𝑚=
𝑝=
Answer each question. Explain your thinking. 12. An electronics store sells DVDs for $5 each or 3 for $12. What is the least amount 6 DVDs could cost?
Show how you know.
13. Wendy bought a pen for 88¢. What coins could she have used? Show how you know.
© Lincoln Public Schools, 2016 5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Divide by Two-­‐Digit Divisors HW 5.2/5.5C Practice to review…I can divide by two-­‐digit divisors! I can use different strategies to find the quotient of 8,676
First, I can estimate the quotient. An estimate will help me know if my answer is reasonable! ÷ 37.
8,676 ÷ 37 is about because Repeated Subtraction ÷ =
Regrouping 37 8,676
!
37 8,676
!
Practice to remember… Choose a strategy to divide. Estimate to check that your answer is reasonable. Show your thinking. 1.
16 91,265
!
2.
© Lincoln Public Schools, 2016 24 571
!
3.
23 29,823
!
4.
68 259
!
5th Grade Math Chapter 5 Divide by Two-­‐
Digit Numbers Name: _______________________________________ Date: __________________ Practice to remember, continued… RE 5.2/5.5C Answer the question. Show your thinking. 5. The stock employee at Connie’s Shoes has 198 tennis shoes to put on display. If he puts 22 shoes on a
shelf, how many shelves will he need to display the shoes? Explain.
Remembering
Practice for fluency… Use mental math to divide. 6.
270,000 ÷ 90
7.
12,000 ÷ 300
a. 30,000
b. 3,000
a.
4,000
b.
400
c. 300
d. 30
c.
40
d.
4
Multiply or divide. 8.
7 × 8 =
9.
10. 42 ÷ 7 =
90 ÷ 9 =
11. 9 × 6 =
Answer each question. Explain your thinking. 12. Are the expressions equivalent? Write = or ≠. Explain how you know.
7 × 26 7 × 20 + (7 × 6)
13. The table shows prices for a DVD player at four stores. What is the
difference between the greatest price and the least price? Show your
thinking.
© Lincoln Public Schools, 2016 Store Crazy Cal’s The Sound Center The Cost Cutters P.C. Vey’s
Price $210 $185 $199 $230 5th Grade Math Chapter 5 Name: _______________________________________ Date: __________________ Order of Operations Practice to review…I can use the order of operations to simplify expressions! Divide by Two-­‐
Digit Numbers HW 5.6A 25 ÷ 12 − 7 + 4 ↓ ORIGINAL EXPRESSION Parentheses 25 ÷
Multiply OR Divide (L¦R) 25 ÷
Add OR Subtract (L¦R) +
+4
↓
↓ +
=
=
SIMPLIFIED EXPRESSION Practice to remember… Simplify. 48 ÷ 8 × 3 =
3.
4. 49 ÷ 7 × 3 =
5. 51 − 8 × 4 + 3 =
6.
5 + 17 − 8 + 12 =
7. 4 × 2 × 3 ÷ 8 =
8.
9.
33 + 2 + 81 ÷ 9 =
1.
10 − 2 × 16 ÷ 4 =
© Lincoln Public Schools, 2016 2.
43 − 6 × 7 + 14 =
15 − 7 + 4 =
5th Grade Math Chapter 5 Name: _______________________________________ Date: __________________ Remembering
Practice for fluency… Divide by Two-­‐
Digit Numbers RE 5.6A Identify the property used. 10. 𝑛 + 5 = 5 + 𝑛
11.
100 + 10 + 6 = 100 + (10 + 6)
a. The Commutative Property of Addition
a.
The Commutative Property of Addition
b. The Associative Property of Addition
b.
The Associative Property of Addition
c. The Identity Property of Addition
c.
The Identity Property of Addition
d. The Identity Property of Addition
d.
The Identity Property of Addition
Estimate each sum or difference. 12. 34.78 + 45.02
13. 67.56 − 33.49
14. 5.399 + 10.486
15. 123.71 + 98.64
Answer each question. Explain your thinking. 16. Are the expressions equivalent? Write = or ≠. Explain how you know.
4 × 38 2 × 2 × 38
17. Tammy is stacking 412 books on shelves. She can stack 24 books on each shelf. How many shelves will
she fill? Will she have any books left over? If so, how many books will she have left over? Show how you
know.
© Lincoln Public Schools, 2016 5th Grade Math Name: ___________________________________ Date: _________________
Chapter 5
Divide by TwoDigit Numbers
Order of Operations
HW 5.6B
Practice to review… I can use the order of operations to simplify expressions!
EQUATION
24÷ 3× 4 + 2
Parentheses
(LR)
_______ × 4 + 2
Multiply OR Divide
(LR)
Add OR Subtract
(LR)
SOLUTION
_______
Practice to remember…
Simplify. Follow the order of operations.
1.
5 × (49÷ 7)
2.
________
3.
14÷ 2 - 8÷ 4
________
4.
________
5.
7 × 4÷ (2 + 5)
________
(5 × 3) + 8
(36÷ 6) + 9
________
6.
8× (15 - 6)
________
7. Insert parentheses to make the expression below equivalent to 2 . Show how you know.
3+6-6+1
© Lincoln Public Schools, 2016
5th Grade Math
Chapter 5
Divide by TwoDigit Numbers
Name: ___________________________________ Date: _________________
Remembering
RE 5.6B
Practice for fluency…
What is the correct way to write each number in expanded form?
8.
9.
680,543
a. 60,000 + 8,000 + 500 + 40 + 3
a. 7,000,000 + 900,000 + 60,000 + 4,000 + 20 + 1
b. 600,000 + 80,000 + 500 + 40 + 3
b. 7,000,000 + 900,000 + 60,000 + 4,000 + 200 + 10
c. 680,000 + 80,000 + 500 + 40 + 3
c. 700,000 + 90,000 + 6,000 + 400 + 20 + 1
d. 600,000 + 80,000 + 5,000 + 400 + 30
d. 7,000,000 + 900,000 + 60,000 + 4,000 + 200 + 1
Complete each number sentence.
10.
7,964,021
Compete the table.
Rule: Multiply by 6
36 ÷ _____= 9
12.
11.
_____ ÷ 2 = 7
13.
5
42
Solve. Use pictures, numbers, or words to show how you know.
$
14. Denis earned 283.14 during his first week of work. During his second week of work he
$
earned 318.83. How much more did he earn during his second week of work? Show how
you know.
Jessica finished 382 math problems. Grace finished
493 math problems. How many math problems were finished? Show how you know.
15. Byron finished
237 math problems.
© Lincoln Public Schools, 2016
5th Grade Math
Chapter 5 Name: _______________________________________ Date: __________________ Order of Operations Practice to review…I can use the order of operations to simplify expressions! Divide by Two-­‐
Digit Numbers HW 5.6C 8 + 5 × 2 − 3 ↓ ORIGINAL EXPRESSION Parentheses × 2 − 3 ↓ Multiply OR Divide (L¦R) × Add OR Subtract (L¦R) − 3 ↓ − 3 =
=
SIMPLIFIED EXPRESSION Practice to remember… Simplify. 1.
85 − 22 + 4 =
4. 51 ÷ 3 + (21 ÷ 7) =
© Lincoln Public Schools, 2016 2. 7 + 42 ÷ 6 × 5 =
5.
12 − 8 × 7 + 5 =
3.
55 − 14 + (18 ÷ 9) =
6. 92 − 58 − 14 + 13 =
5th Grade Math Chapter 5 Name: _______________________________________ Date: __________________ Practice to remember… Answer the question. Explain your thinking. Divide by Two-­‐
Digit Numbers RE 5.6C 7. When Anna simplified the expression 7 × 9 − 6 × 4, she said the result is 228. Do you agree with Anna?
Tell why or why not.
Remembering
Practice for fluency… 8.
Which set is ordered from least to greatest?
9.
Which set is ordered from greatest to least?
a. 29,705 27,509 27,590
a.
324,678 315,798 324,778
b. 29,705 27,590 27,509
b.
324,778 315,798 324,678
c. 27,509 27,590 29,705
c.
315,798 324,678 324,778
d. 27,509 29,705 27,590
d.
324,778 324,678 315,798
Find each sum or difference. 10. 34.78 + 45.02
11. 67.56 − 33.49
12. 5.399 + 10.486
13. 123.71 + 98.64
Think about graphing points on a coordinate plane. Answer each question. 14. Starting from the origin (0, 0), explain the movements needed to plot the ordered pair (3, 5).
15. Start at (1, 4). If you go to the right 3 places and up 2 places, what are the coordinates of the new
ordered pair? Explain.
© Lincoln Public Schools, 2016 5th Grade Math