Division with decimal quotients: word problems

Learning Objectives Translate a word problem into a correct division expression. Perform long division that results in a decimal quotient. Correctly place the decimal point in the quotient. By the end of a this lesson, students will be able to interpret the meaning of a decimal quotient in the context of a real-world problem. Round decimal answers appropriately based on the problem's context (e.g., money, measurements). Connect division word problems to the concept of rates and averages as simple rational expressions. Ever tried to split a pizza bill of $52 among 5 friends and wondered what each person *exactly* owes? 🍕 Let's find out! This tutorial focuses on solving word problems where the division doesn't result in a whole number. You will learn how to se...

TermDefinitionExample DividendThe total amount that is being divided or distributed.In '15 apples shared among 4 people', the dividend is 15. DivisorThe number you are dividing by; it represents the number of equal groups.In '15 apples shared among 4 people', the divisor is 4. QuotientThe result of a division problem. In this lesson, it will often be a decimal.15 ÷ 4 = 3.75. The quotient is 3.75. RateA ratio that compares two quantities with different units. It's a practical application of a rational expression.A car travels 120 miles in 2 hours. The rate (speed) is 120 miles / 2 hours = 60 miles per hour. Unit CostThe cost for one single item or unit of measure, found by dividing the total cost by the number of items.If 8 notebooks cost $18, the unit cost is $18...

Division Setup from Word Problems \text{Quotient} = \frac{\text{Total Amount (Dividend)}}{\text{Number of Groups (Divisor)}} Use this fundamental structure to translate word problems into a mathematical expression. The quantity being 'split up' or 'distributed' is always the dividend (numerator). Decimal Point Placement \frac{a.b}{c} \rightarrow c \overline{)a.b} When dividing a decimal by a whole number, the decimal point in the quotient goes directly above the decimal point in the dividend. Maintain place value by adding zeros to the dividend as needed to continue dividing. Average as a Rational Expression \text{Average} = \frac{\sum_{i=1}^{n} x_i}{n} To find the average of a set of values, you sum the values (the dividend) and divide by the cou...