Estimating Quotients and Rounding

This video is part two of lesson 5.1, focusing on solving independent practice problems involving division. The teacher walks through problems 15 to 33, demonstrating step-by-step solutions and discussing strategies for estimating and checking answers. The lesson concludes with a summary of key concepts and a brief discussion on the importance of understanding division in real-world contexts.

What is the estimated quotient when dividing 44,000 by 167?

• 200

• 300

• 500

• 400

If you divide 87,628 by 931, what is the closest estimate for the quotient?

• 8

• 7

• 6

• 9

How many full rows of trees can Emilio plant if he has 8,450 trees and each row contains 125 trees?

• 70

• 69

• 68

• 67

Camilla has 8,160 silver beads and 2,880 black beads. How many necklaces can she make if each necklace requires 85 silver beads and 30 black beads?

• 93

• 94

• 95

• 96

How many people received free admission at the fair if every 175th person gets in for free and there were 6,742 people on Saturday and 5,487 on Sunday?

• 69

• 70

• 71

• 72

Yolanda is buying a car with a base price of $16,750. If she can only pay $395 per month, will she be able to pay off the car in 48 months?

• Yes, she can

• No, she can't

• Yes, with a remainder

• No, with a remainder

Is 40 a reasonable estimate for the quotient of 78,114 divided by 192?

• No

• Yes

• Depends on rounding

• Maybe

Harrison predicted the quotient of 57,872 divided by 305 would be less than 200. Why is this prediction correct?

• He didn't round at all

• He rounded the dividend up and divisor down

• He rounded both numbers down

• He rounded both numbers up

If a town council buys 13,750 pounds of sand, will they need more or fewer bags if they use 25-pound bags instead of 50-pound bags?

• Fewer bags

• Depends on the sand

• Same number of bags

• More bags

How can you check the answer to a division problem with a remainder?

• Both A and B

• Multiply the quotient by the divisor

• Subtract the remainder from the product

• Add the remainder to the product