August 13, 2015
Module 2: Lesson 12: Estimating Digits in a Quotient
Goal: • Connect estimation with place value in order to determine the standard algorithm for division. Long Division Steps
÷
x
Opening: Find the quotient. Discuss ways to check if your answer is reasonable.
5,911 ÷ 23
Example 1: Estimate the quotient of 8,085 ÷ 33. Then divide.
Example 2: Use estimation and the standard algorithm to divide. 1,512 ÷ 27
1
August 13, 2015
Exercise 1­4:
Estimate the quotient. Use the standard algorithm to divide. Check your work.
1) 1,008 ÷ 48
2) 2,508 ÷ 33
3) 2,156 ÷ 28
4) 4,732 ÷ 52
Closing:
• How does estimation help you with the process of finding the exact quotient?
2
August 13, 2015
Lesson 12: Estimating Digits in a Quotient
Problem Set:
1) Estimate the quotient: 1,908 ÷ 36.
2) Use the division algorithm and your estimate to find the quotient: 1,908 ÷ 36.
3) Use estimation to determine if 8,580 ÷ 78 has a quotient in the 10's, 100's, or 1,000's.
Complete the following steps for each problem:
• Estimate the quotient.
• Use the division algorithm to solve.
• Check your answer.
4) 3,312 ÷ 48
5) 3,125 ÷ 25
6 1,344 ÷ 14
IP