Estimation
Which of the following is the best estimate of 487 divided by 67?
7
The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 20 game booths. In what place will the first digit of the quotient be?
Tens
Which partial quotients could be added to find 465 divided by 15?
30 and 1
Choose all the expressions that are equal to 27,000 divided by 30.
270 divided by 30
270 tens divided by 3 tens
2,700 tens divided by 3 tens
2,700 divided by 3
2,700 tens divided by 30 tens
#3 & #4
The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 20 game booths. How many prizes will each booth have?
49 prizes
The area of a rectangular banquet hall is 7,400 square feet. The length of one side of the hall is 82 feet. Explain how you can use compatible numbers to estimate the width of the hall.
Use 7,200 instead of 7,400 and 80 instead of 82. Then divide and get 90 feet.
Dan divides 608 by 16. In which place should he write the first digit of the quotient?
Tens
The cost to rent a lodge for a family reunion is $975. If 65 people attend and pay the same price, how much does each person pay?
$15
304 divided by 16
19
The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 20 game booths. How many prizes will be left?
5 prizes
2,700 divided by 30
270 divided by 30
2,400 divided by 30
240 divided by 30
90
9
80
8
Kari wants to find 3,277 divided by 29. In which place should she write the first digit of the quotient?
Hundreds
Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the fewest number of cabins needed?
9 cabins
713 divided by 23
31
Charles burns 4,350 calories hiking 15 miles of the Appalachian Trail. He burns the same number of calories each mile. How many calories does he burn each mile?
290 calories
280 divided by 40 = 7
800 divided by 40 = 20
4,000 divided by 40 = 10
32,000 divided by 40 = 800
Yes
Yes
No
Yes
Kari wants to find 3,277 divided by 29. In which place should she write the first digit of the quotient? Tell how you decided where to write the first digit of the quotient.
29 doesn't go into 3 but it does go into 32. The 2 is in the hundreds place, which is where the first digit will be placed.
Solve using an area model.
312 divided by 24
13
7,905 divided by 35
225 R 30
Mrs. Reiss has 264 crayons for her art class of 22 students. How many crayons will each student get if the crayons are equally divided? Use an area model to solve.
12 crayons
420 divided by 60 = 70
1,800 divided by 60 = 300
5,400 divided by 60 = 90
24,000 divided by 60 = 400
No
No
Yes
Yes
Mary needs to find 432 divided by 48. In which place should she write the first digit of the quotient?
Ones
The cost of renting a bus is $1,344. Tony wants to find how much each person will pay if 32 people ride the bus and share the cost equally. Answer the question by using partial quotients.
40 and 2 = 42
1512 divided by 54
28
8,415 divided by 11
765