Estimating Quotients
Use compatible numbers to find two estimates
648 ÷ 44 ?
640 ÷ 40 = 16
650 ÷ 50 = 15
Sabeena buys 162 inches of ribbon for wrapping presents. She uses 25 inches of ribbon to make a bow for each present. What is the greatest number of bows Sabeena can make?
A 5
B 6
C 7
D 8
What is 6 (B)?
Which division equation is shown by the array?
A 70 ÷ 7 = 10
B 75 ÷ 7 = 15
C 105 ÷ 15 = 7
D 150 ÷ 15 = 10
What is C ?
Dakota has 133 baseball cards. She wants to put them in an album that
has 16 pages.
Dakota can put ______ baseball cards on each page.
She will have ______ cards on the last page.
What is 8 cards per page, with 5 left over?
Solve: 481 ÷ 37
What is 13?
Use compatible numbers to find two estimates
4,174 ÷ 21
4200 ÷ 20 =210
4800 ÷ 20 =240
A school earned $2,604 selling tickets to a fundraising event.
If each ticket cost $14, how many tickets were sold?
What is 186 tickets?
There are 986 campers who signed up for summer camp.
The campers are placed into 29 equal groups.
How many campers are in each group?
Part A
Complete the area model below to show the solution to the problem.
What is 34 campers in each group?
A third team earns $891 in their prize bank. Each team member receives $81. How many members are on this team?
11 members
Solve: 892 ÷ 59
What is 15 remainder 7?
A baker made 742 cupcakes in 23 days. What is a reasonable estimate
of the number of cupcakes the baker made each day?
A 50
B 30
C 28
D 25
What is 30 (B)?
The area of a playground measures 375 square yards.
If the length of the playground is 15 yards, what is its width in yards?
What is 25 yards?
There are 986 campers who signed up for summer camp.
Part B
Write an equation to model how many campers are placed in each group.
What is 986 ÷ 29 = 34?
A class of 24 students collects 864 cans for recycling. Each student collects the same number of cans. How many cans does each student collect?
36 cans
Solve: 7,014 ÷ 72
What is 97 remainder 30?
Select the two equations that correctly use compatible numbers to estimate the quotient of 2,283 ÷ 62.
A 2,600 ÷ 65 = 40
B 1,800 ÷ 60 = 30
C 1,500 ÷ 60 = 25
D 2,400 ÷ 60 = 40
E 2,800 ÷ 70 = 40
What are B and D?
A farmer collected 1,957 eggs from her chickens. She puts them into
cartons that each hold 48 eggs. How many cartons will the farmer need to hold all of the eggs she collected?
What is 41 cartons?
Use an area model model to represent the division equation and also find the quotient.
3,860 ÷ 20 =
193
area model may vary
Ms. Olmeda, Ms. Navarrete, and Mr. Guzman bought 2,841 pencils for their classes. They decided to divide the pencils equally among their 76 students.
How many pencils does each student get? How many pencils will be left over?
Each student gets 37 pencils and there will be 29 pencils left over.
Solve: 1566 ÷ 3
522
Brenden collected 975 bottle caps for a school fundraiser over 20 days.
He estimated that he collected about 50 bottle caps each day.
Was Brenden’s estimate reasonable?
A Yes, because 975 is close to 1,000 and 1,000 ÷ 20 = 50.
B Yes, because 20 is close to 25 and 1,250 ÷ 25 = 50.
C No, because 975 is close to 900 and 900 ÷ 20 = 45.
D No, because 20 is close to 25 and 975 ÷ 25 = 39.
What is A?
An art teacher gives 2,532 crayons to the students who take his class.
He gives 12 crayons to each student.
Part A How many students take his art class?
Part B Write an equation to model the solution to the problem.
What is 211 students; 2,532 ÷ 12 = 211?
Use an area model model to represent the division equation and also find the quotient.
c = 732 ÷ 12
61
Area model may vary
An outdoor company donates 1,036 swim vests to be shared equally among 74 swimming programs. How many swim vests does each program receive ?
14 swim vests
Solve: 8544 ÷ 2
4, 272