Estimate Quotients
Find the estimated quotient.
728 ÷ 8
91 (Answer should be close)
1,788 ÷ 4
447
329 ÷ 4
82 R 1
Alex puts 27 candles into boxes. Each box holds 4 candles. How many boxes can Alex fill?
6 boxes
A mother buys 51 collectible action figures. She gives 5 action figures to her friend’s daughter. With the remaining action figures, she plans to give an equal number to each of her 4 children. How many action figures will be left over?
2 action figures
Use compatible numbers to find an estimated range for the quotient.
532 ÷ 5
about 105 (Answer should be near)
2,550 ÷ 6
425
7,835 ÷ 2
3,917 R 1
Kim has 74 nickels to give to her 5 friends. She plans to give an equal number of nickels to each friend. If each friend receives the maximum number of nickels, how many nickels will be left over?
4 nickels
A flower shop has 24 roses. It divides up the roses evenly into 6 different vases. In the first vase, 3 of the roses die. Then, 7 new roses are placed into this first vase. How many roses are in the first vase now?
8 roses
Use compatible numbers to find an estimated range.
6,208 ÷ 9
about 690 (Answer should be near)
A new company has 5,200 free samples to give away. The company will give away an equal number of samples each month for 8 months. What is the maximum number of samples that the company will give away each month?
650 samples
Harold has 1,223 vocabulary words to learn. He plans to learn an equal number of words each month for 6 months. How many words will he learn each month? How many additional words will he need to learn?
203 words per month
5 words left over
A van can hold 9 people. How many trips are needed to get 33 people to the airport?
4 trips
Maria is planting flowers in pots. She puts 4 flowers in each pot. She had 85 flowers. She gave 18 flowers to her neighbor. How many pots can she plant now?
16 pots
A fitness tracker shows that Elizabeth made 3,450 steps in 9 hours. If she made about the same number of steps each hour, about how many steps did she make each hour?
about 383 (Answer should be near)
6,472 ÷ 8
809
Marcy has 187 stickers to share equally with 8 friends. She says that each friend will receive 23 stickers with, 3 stickers left over. How could you use multiplication to check her answer?
23 x 8 = 184
184 + 3 = 187
Katie puts 98 scissors into a box. A box holds 4 scissors. How many boxes can she fill?
24 boxes
There are 129 girls and 204 boys on a hiking trip. There is a maximum of 6 students students with each hiking guide. All students need to be with a guide. How many guides are needed?
56 guides
Adam and Kaley estimate to find the quotient of 2,336 ÷ 8. Adam uses 2,400 ÷ 8 and Kaley uses 1,600 ÷ 8 to find their estimates. Which student’s estimate is closer to the exact quotient? Explain your answer.
Adam
9,387 football tickets have been sold. There are 3 sections. How many fans are in each section?
3,129 fans
A golf course uses 2,608 golf balls for its driving range. When all the golf balls are collected, they are split evenly into 9 buckets. How many golf balls are in each bucket?
289 balls, with 7 remaining
Roger says that a remainder always forces the answer to the next whole number. How can you explain that Roger's answer is not always correct?
Sample: Sometimes the remainder can be ignored. For example, I have 22 pencils, how many groups of 5 can I make? I can make 4 groups of 5, and 2 are left over. I can't make 5 groups of 5 from 22 pencils, so 2 of the pencils will be left over.
The cafeteria needs enough tables to hold 174 students and 13 teachers. The cafeteria tables seat 8 people. What is the fewest number of tables needed?
24 tables