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Estimating Digits in a Quotient

Videos and solutions to help Grade 6 students learn how to connect estimation with place value in order to determine the standard algorithm for division.

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Lesson Plans and Worksheets for Grade 6
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Common Core For Grade 6

New York State Common Core Math Module 2, Grade 6, Lesson 12

Lesson 12 Student Outcomes

• Students connect estimation with place value in order to determine the standard algorithm for division.

NYS Math Module 2 Grade 6 Lesson 12 Exercises

Opening Exercise
Show an example of how you would solve 5,911 ÷ 23. You can use any method or model to show your work. Just be sure that you can explain how you got to your solution.

Example 1
We can also use estimates before we divide to help us solve division problems. In this lesson we will be using estimation to help us divide two numbers using the division algorithm.
Estimate the quotient of 8,085 ÷ 33. Then divide.
Create a model to show the division of 8,085 and 33.

Example 2
Use estimation and the standard algorithm to divide. 1,512 ÷ 27

Problem Set
Round to estimate the quotient. Then, compute the quotient using a calculator, and compare the estimate to the quotient.
1. 715 ÷ 11
2. 7,884 ÷ 12
3. 9,646 ÷ 13
4. 11,942 ÷ 14
5. 48,825 ÷ 15
6. 135,296 ÷ 16
7. 199,988 ÷ 17
8. 116,478 ÷ 18
9. 99,066 ÷ 19
10. 181,800 ÷ 20

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other 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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