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3-6 Dividing Decimals by Whole Numbers Warm Up Problem of the Day Lesson Presentation Course 1 3-6 Dividing Decimals by Whole Numbers Warm Up Divide. 1. 56,000 ÷ 8 7,000 2. 5,219 ÷ 17 307 3. 9,180 ÷ 12 765 Course 1 3-6 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 Course 1 3-6 Dividing Decimals by Whole Numbers Learn to divide decimals by whole numbers. Course 1 3-6 Dividing Decimals by Whole Numbers Remember! Quotient 0.15 5 0.75 Divisor Course 1 Dividend 3-6 Dividing Decimals by Whole Numbers Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient. 0.84 ÷ 3 0.28 3 0.84 –6 24 – 24 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-6 Dividing Decimals by Whole Numbers Additional Example 1B: Dividing a Decimal by a Whole Number Find the quotient. 3.56 ÷ 4 0. 89 4 3.56 – 32 36 – 36 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-6 Dividing Decimals by Whole Numbers Check It Out: Example 1A Find the quotient. 0.72 ÷ 3 0.24 3 0.72 –6 12 – 12 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-6 Dividing Decimals by Whole Numbers Check It Out: Example 1B Find the quotient. 2.96 ÷ 4 0. 74 4 2.96 – 28 16 – 16 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. 3-6 Dividing Decimals by Whole Numbers Additional Example 2A: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x=9 0.936 ÷ x 0.936 ÷ 9 0.104 9 0.936 –9 3 –0 36 – 36 0 Course 1 Substitute 9 for x. Sometimes you need to use a zero as a placeholder. 9 > 3, so place a zero in the quotient and divide 9 into 36. 3-6 Dividing Decimals by Whole Numbers Additional Example 2B: Evaluating Decimal Expressions Evaluate 0.936 ÷ x for the given value of x. x = 18 0.936 ÷ x 0.936 ÷ 18 0.052 18 0.936 –0 93 – 90 36 – 36 0 Course 1 Substitute 18 for x. Sometimes you need to use a zero as a placeholder. 18 > 9, so place a zero in the quotient and divide 18 into 93. 3-6 Dividing Decimals by Whole Numbers Check It Out: Example 2A Evaluate 0.636 ÷ x for the given value of x. x=6 0.636 ÷ x 0.636 ÷ 6 0.106 6 0.636 –6 3 –0 36 – 36 0 Course 1 Substitute 6 for x. Sometimes you need to use a zero as a placeholder. 6 > 3, so place a zero in the quotient and divide 6 into 36. 3-6 Dividing Decimals by Whole Numbers Check It Out: Example 2B Evaluate 0.636 ÷ x for the given value of x. x = 12 0.636 ÷ x 0.636 ÷ 12 0.053 12 0.636 –0 63 – 60 36 – 36 0 Course 1 Substitute 12 for x. Sometimes you need to use a zero as a placeholder. 12 > 6, so place a zero in the quotient and divide 12 into 63. 3-6 Dividing Decimals by Whole Numbers Remember! Multiplication can “undo” division. To check your answer to a division problem, multiply the divisor by the quotient. Course 1 3-6 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? $10.12 should be divided into four equal groups. Divide $10.12 by 4. $2. 53 Place a decimal point in the quotient 4 $10.12 directly above the decimal point in –8 the dividend. Divide as you would with whole numbers. 21 – 20 Check 12 2.53 4 = 10.12 – 12 Each person should pay $2.53. 0 Course 1 3-6 Dividing Decimals by Whole Numbers Check It Out: Example 3 Ty and three of his friends are building a fence. The lumber cost $21.44. If they share the cost equally, how much should each person pay? $21.44 should be divided into four equal groups. Divide $21.44 by 4. $5.36 4 $21.44 – 20 14 – 12 24 – 24 0 Course 1 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Check 5.36 4 = 21.44 Each person should pay $5.36. Decimals by Whole 3-6 Dividing Insert Lesson Title HereNumbers Lesson Quiz Find each quotient. 1. 3.12 ÷ 8 0.39 2. 5.68 ÷ 8 0.71 Evaluate the expression 1.25 ÷ x for the given value of x. 3. x = 5 0.25 4. x = 25 0.05 5. The tennis team is having 3 of their tennis rackets restrung. The total cost is $54.75. What is the average cost per racket? $18.25 Course 1