1. Estimate
Quotients
© 2007 M. Tallman

2. Compatible numbers are numbers that contain a basic division fact…
When estimating division problems, rounding will not work very well. You must use compatible numbers.
Compatible numbers are numbers that contain a basic division fact…
…8,100 ÷90, 720 ÷ 8, 144,000 ÷ 120
© 2007 M. Tallman

3. Find the compatible numbers in these division problems.
÷ 4 2.
,000 ÷ 7
÷ 6 5. 6.
÷ 8 8.
→ 12 ÷ 4
→ 36 ÷ 9
→ 21 ÷ 7
→ 24 ÷ 6
→ 42 ÷ 7
→ 35 ÷ 5
→ 32 ÷ 8
→ 96 ÷ 8 ) 9
3,600 7 )
4,200 5 )
35,000 8 )
9,600
© 2007 M. Tallman

4. 437 ÷ 9 45 ÷ 9 = 5 Estimating Quotients 1 1 1 - 0 = 1
1 zero in the quotient
1 - 0 = 1 1 1 45 ÷ 9 = 5
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers.
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

5. 508 ÷ 7 49 ÷ 7 = 7 Estimating Quotients 1 1 1 - 0 = 1
1 zero in the quotient
1 - 0 = 1 1 1 49 ÷ 7 = 7
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers.
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

6. ) 7 224 3 ) 7 21 Estimating Quotients 1 1 1 - 0 = 1
1 zero in the quotient 1 3 ) 7 21
1 - 0 = 1 1
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers.
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

7. 4,324 ÷ 6 4,2 ÷ 6 = 7 Estimating Quotients 1 2 1 2 2 - 0 = 2
2 zeros in the quotient
2 - 0 = 2 1 2 1 2
4,2 ÷ 6 = 7
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

8. ) 4 3,105 8 ) 4 3,2 00 Estimating Quotients 1 2 1 2 2 - 0 = 2
2 zeros in the quotient 1 2 8 ) 4
3,2 00
2 - 0 = 2 1 2
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers.
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

9. ) 5 4,175 8 ) 5 4,0 00 Estimating Quotients 1 2 1 2
Tip: Do not count the zero in 40.
2 zeros in the quotient 1 2 8 ) 5
4,0 00
2 - 0 = 2 1 2
Step 1: Look at the first couple of numbers of the dividend and the first number of the divisor.
Step 2: Find the closest basic division fact to these numbers.
Step 3: Use the basic fact to change the dividend and divisor in to compatible numbers, and divide.
© 2007 M. Tallman

10. Division Fact:_________ Estimate:____________ 48 ÷ 8 = 8
Your Turn
Estimate 468 ÷ 8
Division Fact:_________
Estimate:____________
48 ÷ 8 = 8
480 ÷ 8 = 80
© 2007 M. Tallman

11. Division Fact:_________ Estimate:____________
Your Turn
Estimate
Division Fact:_________
Estimate:____________
5,620 ÷ 5
55 ÷ 5 = 11
5,500 ÷ 5 = 1,100
© 2007 M. Tallman

12. Division Fact:_________ Estimate:____________
Your Turn
Estimate
Division Fact:_________
Estimate:____________
2,198 ÷ 4
20 ÷ 4 = 5
2,000 ÷ 4 = 500
© 2007 M. Tallman

13. Division Fact:_________ Estimate:____________
Your Turn
Estimate
Division Fact:_________
Estimate:____________
358 ÷ 12
36 ÷ 12 = 3
360 ÷ 12 = 30
© 2007 M. Tallman

14. Division Fact:_________ Estimate:____________
Your Turn
Estimate
Division Fact:_________
Estimate:____________
1,976 ÷ 9
18 ÷ 9 = 2
1,800 ÷ 9 = 200
© 2007 M. Tallman