# Estimating quotients

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##### Intros
###### Lessons
1. Introduction to Estimating Quotients:
2. Example of estimating the quotient of 386 ÷ 22
3. Key terms for estimating quotients
4. Estimating quotients by rounding
5. Estimating quotients using compatible numbers
6. Estimating quotients with long division
7. Underestimating and overestimating quotients
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##### Examples
###### Lessons
1. Estimating Quotients by Rounding
Estimate the quotient using estimation by rounding. Then, find the exact quotient to check your answer.
1. 54$\frac{2}{5}$ ÷ 5$\frac{4}{6}$ =
2. 4658 ÷ 17 =
3. 27.83 ÷ 11 =
2. Estimating Quotients using Compatible Numbers
Estimate the quotient by rewriting the statement using compatible numbers. Then, find the exact quotient to check your answer.
1. 3456 ÷ 5 =
2. 50 ÷ 4$\frac{1}{8}$ =
3. 5.592 ÷ 6 =
3. Estimating Quotients with Long Division
Estimate the quotient using estimation with long division. Then, find the exact quotient to check your answer.
1. 0.672 ÷ 3 =
2. 4.265 ÷ 5 =
3. 16.849 ÷ 83 =
4. Estimating Quotients Word Problem - 1
At a local pie eating contest, the winner ate 13.136 pounds of apple pie in 8 minutes. About how many pounds did the winner eat in one minute?
1. Write out the division statement that represents this problem.
2. Use estimation by rounding.
3. Use estimation with compatible numbers.
4. Use estimation with long division.
5. Estimating Quotients Word Problem - 2
If Laura makes a salary of \$41,004 in a year from her job as a laboratory technician, about how much money does she make in 3 months?
1. Write out the division statement that represents this problem.
2. Use estimation by rounding to estimate the quotient.
3. Use estimation with compatible numbers to estimate the quotient.
4. Use estimation with long division to estimate the quotient.
6. Estimating Quotients Word Problem - 3
Trisha was able to complete 28$\frac{1}{3}$ levels in her video game in 3$\frac{1}{5}$ hours.
1. About how many levels does she complete each hour? Use multiple estimation methods.
2. If Jake finished 71.8 levels of the same game in 9.5 hours, who completed the levels faster? Use multiple estimation methods.