Mathematics Grade 7 15 min

Divide decimals by whole numbers: word problems

Divide decimals by whole numbers: word problems

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Introduction & Learning Objectives

Learning Objectives Identify the dividend and divisor in word problems involving decimal division. Set up and perform long division of a decimal by a whole number. Correctly place the decimal point in the quotient when dividing decimals by whole numbers. Interpret the quotient in the context of a given word problem. Solve real-world word problems requiring division of decimals by whole numbers. Check the reasonableness of their answers in decimal division word problems. Ever wonder how to split a bill evenly among friends when the total has cents? 💸 Or how to find the average cost per item when you buy in bulk? This lesson will show you how! In this tutorial, you'll learn how to tackle word problems that require dividing a decimal number by a whole number. We'll...
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Key Concepts & Vocabulary

TermDefinitionExample DecimalA number that contains a decimal point, representing a fractional part of a whole. For example, 3.75 or 0.5.In the number 12.45, '12' is the whole number part and '.45' is the decimal part. Whole NumberAny non-negative number without fractions or decimals. Examples include 0, 1, 2, 3, and so on.If you have 5 apples, 5 is a whole number. DividendThe number being divided in a division problem. It's the total amount that is being split or shared.In $15.50 \div 5$, $15.50$ is the dividend. DivisorThe number by which the dividend is divided. It represents the number of equal parts or groups.In $15.50 \div 5$, $5$ is the divisor. QuotientThe result obtained from dividing one number by another. It's the answer to a division problem.If $1...
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Core Formulas

Identifying Dividend and Divisor in Word Problems The total amount or quantity to be divided is the dividend. The number of equal groups or parts into which it is divided is the divisor. Read the word problem carefully to determine which number represents the total (dividend) and which number represents the number of parts or groups (divisor). Often, keywords like 'split evenly,' 'per,' 'average,' or 'each' indicate division. Decimal Division by a Whole Number To divide a decimal by a whole number, perform long division as you would with whole numbers. Place the decimal point in the quotient directly above the decimal point in the dividend. Set up the long division. Divide the whole number part of the dividend first. When you bring dow...

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Sample Practice Questions

Challenging
A scientist needs to distribute 1.5 liters of a chemical solution equally into 6 beakers. How many milliliters of solution will be in each beaker? (1 liter = 1000 milliliters)
A.250 milliliters
B.25 milliliters
C.0.25 milliliters
D.2.5 milliliters
Challenging
A recipe for 12 cookies requires 2.25 cups of flour. If you want to make a larger batch of 30 cookies using the same proportions, how many cups of flour will you need?
A.5.00 cups
B.5.625 cups
C.4.50 cups
D.6.125 cups
Challenging
The cost (C) to rent a scooter is given by the equation C = 2.50h + 5.75, where h is the number of hours. If a group of 5 friends rents one scooter and their total bill is $23.25, for how many hours did they rent it?
A.9.3 hours
B.8 hours
C.7 hours
D.6 hours

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