Understanding fractions: word problems

Learning Objectives Identify keywords in word problems that indicate decimal division. Set up decimal division problems correctly from real-world scenarios. Perform long division involving decimals accurately. Correctly place the decimal point in the quotient when dividing decimals. Interpret the quotient in the context of a word problem and state the answer with appropriate units. Check the reasonableness of their answers to decimal division word problems. Ever wondered how to share a giant chocolate bar equally among your friends, even if it's not a whole number of pieces? 🍫 Today, we'll learn how to solve problems like that using decimal division! In this lesson, you'll discover how to tackle word problems that require dividing decimals. We'll break...

TermDefinitionExample DividendThe number that is being divided in a division problem.In 12.5 ÷ 5, 12.5 is the dividend. DivisorThe number by which another number (the dividend) is divided.In 12.5 ÷ 5, 5 is the divisor. QuotientThe answer to a division problem.In 12.5 ÷ 5 = 2.5, 2.5 is the quotient. Decimal PointA symbol used to separate the whole number part from the fractional part of a number.In 3.14, the dot between 3 and 14 is the decimal point. Word ProblemA mathematical problem presented in text form, often describing a real-life situation.If a 10.5-meter rope is cut into 3 equal pieces, how long is each piece? UnitA standard quantity used to measure something, such as meters, dollars, or liters.In '2.5 meters', 'meters' is the unit.

Dividing a Decimal by a Whole Number When dividing a decimal by a whole number, perform long division as usual. Place the decimal point in the quotient directly above the decimal point in the dividend. This rule applies when your divisor is a whole number. You don't need to move any decimal points before dividing, just make sure to line up the decimal point in your answer. Dividing a Decimal by a Decimal To divide by a decimal, first move the decimal point in the divisor to the right until it becomes a whole number. Then, move the decimal point in the dividend the same number of places to the right. Finally, perform long division and place the decimal point in the quotient directly above the new decimal point in the dividend. This rule transforms the problem into dividi...