1. 3-5 Dividing Decimals by Whole Numbers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 3-5 Dividing Decimals by Whole Numbers Warm Up Divide. 1. 56,000 ÷ 8 2. 5,219 ÷ 17 3. 9,180 ÷ 12 7,000 307 765

3. 3-5 Dividing Decimals by Whole Numbers Problem of the Day In his pocket, Bill has $0.77 made up of 10 coins. What are the coins? 1 quarter, 3 dimes, 4 nickels, and 2 pennies

4. 3-5 Dividing Decimals by Whole Numbers MA.6.A.1.2 Multiply and divide…decimals efficiently. Also MA.6.A.1.1, MA.6.A.1.3 Sunshine State Standards

5. 3-5 Dividing Decimals by Whole Numbers Divisor Quotient Remember! 0.15 0.75 5 Dividend

6. 3-5 Dividing Decimals by Whole Numbers Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient. 0.84 ÷ 3 3 0.84 – 6 24 – 24 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 0.28

7. 3-5 Dividing Decimals by Whole Numbers Additional Example 1B: Dividing a Decimal by a Whole Number Find the quotient. 3.56 ÷ 4 4 3.56 – 32 36 – 36 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 0. 89

8. 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 1 Find the quotient of 2.96 ÷ 4. 4 2.96 – 28 16 – 16 0 0. 74

9. 3-5 Dividing Decimals by Whole Numbers Additional Example 2A: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x = 9 9 0.936 – 9 3 – 0 36 Substitute 9 for x. 0.10 0.936 ÷ x 0.936 ÷ 9 – 36 0 4 Sometimes you need to use a zero as a placeholder. 9 > 3, so place a zero in the quotient and divide 9 into 36.

10. 3-5 Dividing Decimals by Whole Numbers Additional Example 2B: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x = 18 18 0.936 – 0 93 – 90 36 Substitute 18 for x. 0.05 0.936 ÷ x 0.936 ÷ 18 – 36 0 2 Sometimes you need to use a zero as a placeholder. 18 > 9, so place a zero in the quotient and divide 18 into 93.

11. 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 2 Evaluate 3.054 ÷ a for a = 6. 6 3.054 –30 5 – 0 54 0.50 – 54 0 9

12. 3-5 Dividing Decimals by Whole Numbers Multiplication can “undo” division. To check your answer to a division problem, multiply the divisor by the quotient. Remember!

13. 3-5 Dividing Decimals by Whole Numbers Additional Example 3: Consumer Application Jodi and three of her friends are making a tile design. The materials cost $10.12. If they share the cost equally, how much should each person pay? 4 $10.12 – 8 21 – 20 12 $2. 53 $10.12 should be divided into four equal groups. Divide $10.12 by 4. – 12 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Check 2.53  4 = 10.12 Each person should pay $2.53.

14. 3-5 Dividing Decimals by Whole Numbers Check It Out: Example 3 Manuel and two of his friends went to lunch. With tip and tax, the bill came to $25.11. The friends agreed to split the cost equally. How much should each person pay? 3 25.11 – 24 11 – 9 21 8. 37 – 21 0 Each person should pay $8.37.