Estimating Quotients
Estimate 470 ➗7
What is 490 ➗ 7 = 70
Let's start with an easy one...
58 ➗ 5 =
What is 58 ➗ 5 = 11 R3
A group of 88 parents arrive at AACS Upper School for the senior graduation ceremony. There are rows of chairs set up in the auditorium, and each row seats 8 people. How many rows of chairs will the parents need?
What is 88 ➗ 8 = 11 rows of chairs.
There are 50 students traveling in vans on a youth group trip. Each van seats 8 students. How many vans are needed for the trip? Explain.
What are 7 vans. 50 ➗ 8 equals 6 R2, which means 2 kids would be left without a van to ride in, so they would need to get an additional van, making the final answer "7 vans are needed."
The number that divides the dividend.
What is the divisor?
Estimate 310 ➗ 4.
What is 300 ➗ 5 = 60
849 ➗ 4 =
What is 849 ➗ 4 = 212 R1
Maddie has a 197-page book. If she reads 9 pages every day, ABOUT how many days will it take her to finish the book?
What is 200 ➗ 10 = 20 days. You round up the dividend and the divisor to get numbers in the same fact family.
Bailey makes 144 muffins for a bake sale fundraiser for her soccer team. She puts them into tins of 5 muffins each. How many tins of muffins can she make? Explain.
What are 28 tins. 144 ➗ 5 = 28 R4. Because the 4 left over muffins do not fit in the tin, you would ignore them making the final answer "28 tins."
The answer to a division problem.
What is a quotient?
Estimate 4327 ➗ 5.
What is 4500 ➗ 5 = 900
419 ➗ 7 =
What is 419 ➗ 7 = 59 R6
A grocery store sold 2,990 apples in October. If each basket contained 9 apples, how many full baskets of apples were sold?
What is 332 baskets. 2,990 ➗ 9 = 332 R2 and you ignore the remainder because the 2 left over apples do not fill a basket, so the final answer is "332 baskets."
An electric scooter cost $179. How many payments of $10 would it take for Caleb to purchase the scooter? Explain.
What are 18 payments. 179 ➗ 10 = 17 R9. 17 payments wouldn't be the answer because there is still $9 that needs to be paid. So one more payment would need to be given in order to cover the cost of the scooter making the final answer "18 payments."
A number that is being divided.
What is the dividend?
A grocery store employee puts 8 bagels in each bag. If she has 385 bagels, ABOUT how many bags does she need? Estimate.
What is 400 ➗ 8 = 50 bags. Another possible answer could be 400 ➗ 10 = 40 bags. The first option is closer to the actual answer because 8 and 40 are in the same fact family.
6,184 ➗ 6 =
What is 6,184 ➗ 6 = 1,030 R4
Evie plans to share yogurt cups with 3 classmates. If
she has 5 vanilla yogurt cups and 4 strawberry yogurt cups, how many yogurt cups will each friend receive?
What is 2 yogurt cups. Because 9 yogurts ➗ 4 classmates = 2 R1 so each classmate would receive 2 yogurts and the 1 leftover yogurt cannot be split evenly among the 4 classmates, so we ignore the remainder and the final answer is "2 yogurt cups."
A new movie theatre has $585 to buy movie posters. If each poster costs $8, how many posters can the movie theatre purchase?
What are 73 movie posters. $585 ➗ 8 = 73 R1, so 73 posters can be purchased. There is not enough money left over to purchase another poster, so you ignore the remainder in this situation.
The number that is left after one whole number is divided by another.
What is a remainder?