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 17
Worksheets for Grade 5, Module 2, Lesson 17

Lesson 17 Concept Development
Problem 1: 8,095 ÷ 23
Problem 2: 149 ÷ 71
Problem 3: 427 ÷ 58
Problem 4: 293 ÷ 42
Problem 5: 751 ÷ 93

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

 

Lesson 17 Concept Development
Problem 1: 8,095 ÷ 23

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Problem 2: 149 ÷ 71

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Lesson 17 Problem Set

1. Estimate the quotient for the following problems. Round the divisor first.
   e. 241 ÷ 58
   ≈ _____ ÷ _____
   = _____
   k. 648 ÷ 83
   ≈ _____ ÷ _____
   = _____
   m. 525 ÷ 25
   ≈ _____ ÷ _____
   = _____
   o. 667 ÷ 11
   ≈ _____ ÷ _____
   = _____

Grade 5 Module 2 Lesson 17 Exit Ticket

1. Estimate the quotient for the following problems.
   b. 913 ÷ 31
   ≈ _____ ÷ _____
   = _____

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Lesson 17 Homework
This video demonstrates how to estimate quotients using rounding and compatible numbers.

1. Estimate the quotient for the following problems. The first one is done for you.
   a. 821 ÷ 41
   ≈ 800 ÷ 40
   = 20
   b. 617 ÷ 23
   ≈ _________ ÷ _________
   = _________
   d. 482 ÷ 52
   ≈ _________ ÷ _________
   = _________
   g. 476 ÷ 81
   ≈ _________ ÷ _________
   = _________
   k. 729 ÷ 81
   ≈ _________ ÷ _________
   = _________

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2. Mrs. Johnson spent $611 buying lunch for 78 students. If all of the lunches were the same cost, about how much did she spend on each lunch?

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3. An oil well produces 172 gallons of oil every day. A standard oil barrel holds 42 gallons of oil. About how many barrels of oil will the well produce in one day? Explain your thinking.

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