Approximate Quotients

Examples, solutions, and lessons to help Grade 5 students learn how to use basic facts to approximate quotients with two-digit divisors.

Common Core Standards: 5.NBT.1, 5.NBT.2, 5.NBT.6

New York State Common Core Math Grade 5, Module 2, Lesson 18
Worksheets for Grade 5

Lesson 18 Application Problem
Note: This Application Problem is a review of G5–M2–Lesson 17, which focused on estimation of a three-digit total by a two-digit divisor.
Sandra bought 38 DVD movies for $874. Give an estimate of the cost of each DVD movie.

In this lesson, Lesson 18, students will estimate the division of a four-digit number by a two-digit divisor.
Lesson 18 Concept Development
Problem 1: 8,095 ÷ 23
Problem 2: 2,691 ÷ 48
Problem 3: 5,484 ÷ 71
Problem 4: 9,215 ÷ 95

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The following worksheet helps the student practice estimating quotients for 4-digit dividends. Scroll down the page for more examples and solutions.

 

Lesson 18 Homework
This video demonstrates how to estimate quotients using basic facts.

1. Estimate the quotient for the following problems. The first one is done for you.
   a. 8,328 ÷ 41
   ≈ 8,000 ÷ 40
   = 200 b. 2,109 ÷ 23
   ≈ _________ ÷ _________
   = _________
   c. 8,215 ÷ 38
   ≈ _________ ÷ _________
   = _________
   d. 3,861 ÷ 59
   ≈ _________ ÷ _________
   = _________
   

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2. 91 boxes of apples hold a total of 2,605 apples. Assuming each box has about the same number of apples, estimate the number of apples in each box.

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Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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