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

3-5 Dividing Decimals by Whole Numbers Warm Up Divide ,000 ÷ ,219 ÷ ,180 ÷ 12 7,

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

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

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

3-5 Dividing Decimals by Whole Numbers Additional Example 1A: Dividing a Decimal by a Whole Number Find the quotient ÷ – 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

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

3-5 Dividing Decimals by Whole Numbers Check It Out: Example 1 Find the quotient of 2.96 ÷ – –

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

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

3-5 Dividing Decimals by Whole Numbers Check It Out: Example 2 Evaluate ÷ a for a = –30 5 – –

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!

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 $ If they share the cost equally, how much should each person pay? 4 $10.12 – 8 21 – $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 = Each person should pay $2.53.

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 $ The friends agreed to split the cost equally. How much should each person pay? – – – 21 0 Each person should pay $8.37.