180 likes | 220 Views
3-6. Dividing Decimals by Whole Numbers. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 3-6. Dividing Decimals by Whole Numbers. Course 1. Warm Up Divide. 1. 56,000 ÷ 8 2. 5,219 ÷ 17 3. 9,180 ÷ 12. 7,000. 307. 765. 3-6. Dividing Decimals by Whole Numbers. Course 1.
E N D
3-6 Dividing Decimals by Whole Numbers Course 1 Warm Up Problem of the Day Lesson Presentation
3-6 Dividing Decimals by Whole Numbers Course 1 Warm Up Divide. 1.56,000 ÷ 8 2. 5,219 ÷ 17 3. 9,180 ÷ 12 7,000 307 765
3-6 Dividing Decimals by Whole Numbers Course 1 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
3-6 Dividing Decimals by Whole Numbers Course 1 Learn to divide decimals by whole numbers.
3-6 Dividing Decimals by Whole Numbers Remember! Course 1 Quotient 0.15 0.75 5 Divisor Dividend
3-6 Dividing Decimals by Whole Numbers Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient. 0.84 ÷ 3 0. 2 8 3 0.84 – 6 24 – 24 0
3-6 Dividing Decimals by Whole Numbers Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 Additional Example 1B: Dividing a Decimal by a Whole Number Find the quotient. 3.56 ÷ 4 0. 8 9 4 3.56 – 32 36 – 36 0
3-6 Dividing Decimals by Whole Numbers Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 Check It Out: Example 1A Find the quotient. 0.72 ÷ 3 0. 2 4 3 0.72 – 6 12 – 12 0
3-6 Dividing Decimals by Whole Numbers Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 Check It Out: Example 1B Find the quotient. 2.96 ÷ 4 0. 7 4 4 2.96 – 28 16 – 16 0
3-6 Dividing Decimals by Whole Numbers 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. Course 1 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. 1 0 4 9 0.936 – 9 3 – 0 36 – 36 0
3-6 Dividing Decimals by Whole Numbers 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. Course 1 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. 0 5 2 18 0.936 – 0 93 – 90 36 – 36 0
3-6 Dividing Decimals by Whole Numbers 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. Course 1 Check It Out: Example 2A Evaluate 0.636 ÷ x for the given value of x. x = 6 0.636 ÷ x 0.636 ÷ 6 0. 1 0 6 6 0.636 – 6 3 – 0 36 – 36 0
3-6 Dividing Decimals by Whole Numbers 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. Course 1 Check It Out: Example 2B Evaluate 0.636 ÷ x for the given value of x. x = 12 0.636 ÷ x 0.636 ÷ 12 0. 0 5 3 12 0.636 – 0 63 – 60 36 – 36 0
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 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 Additional Example 3: Consumer ApplicationJodi 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. 5 3 4 $10.12 – 8 21 – 20 Check 12 2.53 4 = 10.12 – 12 Each person should pay $2.53. 0
3-6 Dividing Decimals by Whole Numbers Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers. Course 1 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. 3 6 4 $21.44 – 20 14 – 12 Check 24 5.36 4 = 21.44 – 24 Each person should pay $5.36. 0
3-6 Dividing Decimals by Whole Numbers Course 1 Insert Lesson Title Here Lesson Quiz Find each quotient. 1. 3.12 ÷ 8 2. 5.68 ÷ 8 Evaluate the expression 1.25 ÷ x for the given value of x. 3.x = 5 4.x = 25 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? 0.71 0.39 0.25 0.05 $18.25