Relate Multiplication to Division
Martin places 51 toy cars in 3 equal rows. How many toy cars are in each row?
17 toy cars
51÷3=17
17x3=51
Use and area model to represent the division equation and find the quotient.
3,860÷20=
193
*must show area model*
William buys a gallon of milk from the store. He wants to pour the milk equally into 12 glasses. What is a reasonable estimate for the number of fluid ounces poured into each glass?
1 gallon = 128 fluid ounces
10 ounces
Physical activity is important for good health and can reduce the risk of many diseases. During 31 days last summer, a cyclist rode the same number of miles every day for a total of 1,085 miles. How many miles did she ride each day?
35 miles
Select the two equations that correctly use compatible numbers to estimate the quotient of 6,417 ÷ 32.
a) 6,432 ÷ 32 =201
b) 6,900 ÷ 30 =230
c) 6,000 ÷ 25 =240
d) 6,000 ÷ 30 =200
e) 6,475 ÷ 35 =185
A and D
There are 1,020 entries in a photo contest. Six judges will review an equal number of photos. How many photos will each judge review?
170 photos
1,020÷6=170
600+240=1,020
(6x100)+(6x70)=1,020
6x170=1,020
Use an area model to solve the division problem.
732÷12=
61
*must show area model*
Consumers spend about 1,820 hours per year on their mobile devices. There are 52 weeks in a year. What is a reasonable estimate for the number of hours consumers spend on mobile devices each week?
40 hours
A hobby shop sells specialty kites for $14 each during a sale. The hobby shop earns $994 on the kite sales. How many kites does the hobby shop sell?
71 kites
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.
A
Which expressions can be used to find the quotient 104÷8?
a) (8x10)+(8x3)
b) (8+10)x(8+3)
c) 8x(4+9)
d) (8x5)+(8x8)
e) 8+(5x8)
A, C, D
Write a division equation that relates to the following application of the distributive property.
18x(200+9)=(18x200)+(18x9)
=3,600+162
=3,762
3,762÷18=209
A shipment of 33 containers weighs a total of 6,580 pounds. If each container weighs the same amount, what is a reasonable estimate for the weight of each container?
200 pounds
An outdoors 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
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 only _______ cards on the last page.
8 and 5
Write a related multiplication equation that could be used to solve the following division problem.
216÷6=____
6x_____=216
Two pony express riders each rode part of a 216 mile trip. Each rider rode the same number of miles. They changed horses every 12 miles. How many horses did each rider use?
9 horses
Courtney earns $2,574 for 32 days of work. She earns the same amount each day. About how much does she earn each day? What are two reasonable estimates the answer is between?
Between $80 and $90
Joby divides 6,792 by 54 using partial quotients. He chooses to use the multiple 1,620 to divide. Select all statements that apply.
a) Joby multiplies 54 by 30 to get 1,620, so his partial quotient is 30.
b) Joby subtracts 1,620 from 6,792 to see how much of the dividend is left.
c) Joby divides 6,792 by about 4 to get 1,620, so his partial quotient is 4.
d) Joby adds 1,620 to 540 to get his next partial quotient. E Joby divides 1,620 by 4 to get the final answer
A and 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?
25 yards
The floor area of a rectangular room is 162 square feet. The width of the room is 9 feet. What is the length?
18 feet
A bill for $1,896 is paid in 12 monthly installments. The same amount must be paid each month. Each installment will be divided equally between two people. How much does each person pay each month?
$79
Most Americans spend about 293 hours driving each year. There are 12 months in a year. What is a reasonable estimate for the number of hours most Americans drive each month?
30 hours
A banquet hall can seat 14 people to a table. An event will have 581 adults and 208 children in attendance. How many tables will have to be set up to seat everyone?
57 tables
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 an area model to show the solution to the problem.
Part B
Write an equation to model how many campers are placed in each group.
Part A - show area model
Part B- 986÷29=34