1. Math 5 Division (2 digit divisor) Instructor: Mrs. Tew Turner

2. In this lesson we will learn about division using two digit divisors.

3. Math Warm-up Use Guess and Check Nancy has five more quarters than dimes. This amounts to $2.30. How many of each coin does she have? *1 quarter = $0.25 1 dime = $0.10

4. Math Warm-up Use Guess and Check Nancy has five more quarters than dimes. This amounts to $2.30. How many of each coin does she have? 8 quarters and 3 dimes

5. In this lesson we will answer the questions: How do you divide whole numbers by 2 digit divisors?

6. Vocabulary dividend - the number to be divided 24 ÷ 4 = 6 divisor - the number that is the result of multiplying two or more factors 24 ÷ 4 = 6

7. Vocabulary quotient - the number that is the result of dividing 24 ÷ 4 = 6

8. In a previous lesson you learned about estimating with division using a 1-digit divisor. How can you estimate with division using a 2-digit divisor?

9. Using compatible numbers will help you to estimate division using a 2-digit divisor. Ex. 159 ÷ 75 Step 1: Find compatible numbers for 159 and 75.

10. Ex. 159 ÷ 75 Think 16 can be divided evenly by 8. 160 and 80 are close to 159 and 75. So, 160 and 80 are compatible numbers. (8 & 16 are fast facts!)

11. Ex. 159 ÷ 75 Step 2: Divide with compatible numbers. 160 ÷ 80 = 2 This is the estimate answer for the problem 159 ÷ 75 = ~ 2 75 fits into 159 about 2 times.

12. Ex. 412 ÷ 84 Step 2: Divide with compatible numbers. 400 ÷ 80 = 5 This is the estimate answer for the problem 412 ÷ 84 = ~ 5 84 fits into 412 about 5 times.

13. Ex. 288 ÷ 37 Step 2: Divide with compatible numbers. 280 ÷ 40 = 7 This is the estimate answer for the problem 288 ÷ 37 = ~ 7 37 fits into 288 about 7 times.

14. Dividing Larger Numbers Ex. 864 ÷ 76 Step 1: Estimate with compatible numbers first. 880 ÷ 80 = ~11 This is the estimate answer for the problem 864 ÷ 76 = ~ 11 76 fits into 864 about 11 times.

15. Dividing Larger Numbers Ex. 864 ÷ 76 = 11 r. 28 Step 2: Divide, multiply and subtract for the exact answer. 1 1 r. 28 76 8 6 4 -7 6 9 1 0 1 4 -7 6 2 8 Bring down the ones. Divide the ones. Multiply and subtract.

16. 1.638 ÷ 18 = ? 2.980 ÷ 45 = ? 3.582 ÷ 48 = ? 4.989 ÷ 13 = ? Remember to do estimate answers first! In your Math Notebook

17. 1.638 ÷ 18 = ? 600 ÷ 20 = 30 2.980 ÷ 45 = ? 1000 ÷ 50 = 20 3.582 ÷ 48 = ? 550 ÷ 50 = 11 4.989 ÷ 13 = ? 1000 ÷ 10 = 100 How did you do with your estimate answers? I used rounding and compatible numbers. In your Math Notebook

18. 1.638 ÷ 18 = ? 600 ÷ 20 = 30 2.980 ÷ 45 = ? 1000 ÷ 50 = 20 3.582 ÷ 48 = ? 550 ÷ 50 = 11 4.989 ÷ 13 = ? 1000 ÷ 10 = 100 What are the exact answers? In your Math Notebook

19. 1.638 ÷ 18 = ? 3 5 r. 8 18 56 1 3 8 -5 4 9 8 - 9 0 8 In your Math Notebook You can use your guess and check using paper and pencil or a calculator to determine how many groups will fit into the dividend.

20. 2. 980 ÷ 45 = 21 r. 35 2 1 r. 35 45 9 8 0 -9 0 7 8 1 0 - 4 5 3 5 In your Math Notebook You can use your guess and check using paper and pencil or a Calculator to determine how many groups will fit into the dividend.

21. 3. 582 ÷ 48 = 12 r.6 1 2 r. 6 48 5 8 2 -4 8 9 1 0 1 2 - 9 6 6 In your Math Notebook You can use your guess and check using paper and pencil or a Calculator to determine how many groups will fit into the dividend.

22. 4. 989 ÷ 13 = 76 r. 1 7 6 r. 1 13 9 8 9 - 9 1 7 9 - 7 8 1 In your Math Notebook You can use your guess and check using paper and pencil or a Calculator to determine how many groups will fit into the dividend.

23. Quick Check 1. So far, 467 tortillas have been made. These tortillas will be placed in packages of 15. How many complete packages will be filled? 2. Explain the answer if there is remainder. What does the remainder mean? In your Math Notebook

24. Quick Check ANSWERS Step 1 : Estimate to help decide where to place the first digit in the quotient. Use compatible numbers. 450 ÷ 15 = 30

25. Quick Check ANSWERS Step 2 : Divide the tens. Multiply and subtract. Continue the process. 3 1 r. 2 15 4 6 7 - 4 5 1 7 - 1 5 2 So far, 31 packages of tortillas will be filled.

26. Explanation for your notebook: How many complete packages will be filled? 31 packages will be filled! 2. What does the remainder mean? There are going to be 2 tortillas left over that will not make a complete package. So I guess the packers get to eat them!

27. Today you learned how to divide whole numbers with 1 digit divisors. Good Work with this lesson.