3-5 Dividing Decimals by Whole Numbers Homework Presentation Homework Presentation

3-5 Dividing Decimals by Whole Numbers Learn to divide decimals by whole numbers.

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 1A Find the quotient ÷ – 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. 0.24

3-5 Dividing Decimals by Whole Numbers Check It Out: Example 1B Find the quotient ÷ – – 16 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 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 2A Evaluate ÷ x for the given value of x. x = – 6 3 – 0 36 Substitute 6 for x ÷ x ÷ 6 – Sometimes you need to use a zero as a placeholder. 6 > 3, so place a zero in the quotient and divide 6 into 36.

3-5 Dividing Decimals by Whole Numbers Check It Out: Example 2B Evaluate ÷ x for the given value of x. x = – 0 63 – Substitute 12 for x ÷ x ÷ 12 – Sometimes you need to use a zero as a placeholder. 12 > 6, so place a zero in the quotient and divide 12 into 63.

3-5 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 Ty and three of his friends are building a fence. The lumber costs $ If they share the cost equally, how much should each person pay? 4 $21.44 – – $5.36 $21.44 should be divided into four equal groups. Divide $21.44 by 4. – 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 = Each person should pay $5.36.

3-5 Dividing Decimals by Whole Numbers Check For Understanding Find each quotient ÷ ÷ 8 Evaluate the expression 1.25 ÷ x for the given value of x. 3. x = 54. x = The tennis team is having 3 of their tennis rackets restrung. The total cost is $ What is the average cost per racket?