Dividing Decimals by Whole Numbers Warm Up Problem

Dividing Decimals by Whole Numbers Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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

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

Dividing Decimals by Whole Numbers Learn to divide decimals by whole numbers.

Dividing Decimals by Whole Numbers Remember! Quotient 0. 15 5 0. 75 Divisor Dividend

Dividing Decimals by Whole Numbers Additional Example 1 A: Dividing a Decimal by a Whole Number Find the quotient. 0. 84 ÷ 3 0. 28 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.

Dividing Decimals by Whole Numbers Additional Example 1 B: Dividing a Decimal by a Whole Number Find the quotient. 3. 56 ÷ 4 0. 89 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.

Dividing Decimals by Whole Numbers Check It Out: Example 1 A Find the quotient. 0. 72 ÷ 3 0. 24 3 0. 72 – 6 12 – 12 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.

Dividing Decimals by Whole Numbers Check It Out: Example 1 B Find the quotient. 2. 96 ÷ 4 0. 74 4 2. 96 – 28 16 – 16 0 Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.

Dividing Decimals by Whole Numbers Additional Example 2 A: 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 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.

Dividing Decimals by Whole Numbers Additional Example 2 B: 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 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.

Dividing Decimals by Whole Numbers Check It Out: Example 2 A 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 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.

Dividing Decimals by Whole Numbers Check It Out: Example 2 B 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 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.

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

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 4 $10. 12 – 8 21 – 20 12 – 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.

Dividing Decimals by Whole Numbers Check It Out: Example 3 Ty and three of his friends are building a fence. The lumber costs $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 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.

Dividing Decimals by Whole Numbers Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Dividing Decimals by Whole Numbers 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

Dividing Decimals by Whole Numbers Lesson Quiz for Student Response Systems 1. Identify the quotient. 6. 84 9 A. 0. 84 B. 0. 76 C. 0. 62 D. 0. 58

Dividing Decimals by Whole Numbers Lesson Quiz for Student Response Systems 2. Identify the quotient. 4. 59 9 A. 0. 51 B. 0. 62 C. 0. 73 D. 0. 84

Dividing Decimals by Whole Numbers Lesson Quiz for Student Response Systems 3. Evaluate the expression 1. 44 x for x = 12. A. 12 B. 1. 2 C. 0. 12 D. 0. 012

Dividing Decimals by Whole Numbers Lesson Quiz for Student Response Systems 4. Evaluate the expression 0. 24 x for x = 12. A. 0. 4 B. 0. 2 C. 0. 04 D. 0. 02

Dividing Decimals by Whole Numbers Lesson Quiz for Student Response Systems 5. At a fruit stand, 8 pounds of apples cost $2. 80. Identify the average cost of apples per pound. A. $35. 00 B. $3. 50 C. $0. 35 D. $0. 03