3 6 Dividing Decimals by Whole Numbers Remember

3 -6 Dividing Decimals by Whole Numbers Remember! Quotient 0. 15 5 0. 75 Divisor Dividend

3 -6 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.

3 -6 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.

3 -6 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.

3 -6 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.

3 -6 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.

3 -6 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.

3 -6 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.

3 -6 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.

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.

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 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.

3 -6 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.