Mathematics Grade 7 15 min

Division with decimal quotients

Division with decimal quotients

Tutorial Preview

1

Introduction & Learning Objectives

Learning Objectives Perform long division to find decimal quotients when dividing whole numbers. Divide a decimal by a whole number, correctly placing the decimal point in the quotient. Divide a decimal by another decimal by transforming the divisor into a whole number. Round decimal quotients to a specified place value (e.g., nearest tenth, hundredth). Solve real-world problems that require division resulting in decimal quotients. Identify and correct common errors in division with decimal quotients. Ever wondered how to split 3 cookies equally among 2 friends? ๐Ÿช๐Ÿช๐Ÿช You can't just give whole cookies! This lesson will show you how to get a fair, precise share every time. In this tutorial, you'll learn the essential techniques for dividing numbers that result in...
2

Key Concepts & Vocabulary

TermDefinitionExample DividendThe number being divided. It's the total amount you are splitting.In 10 รท 4, 10 is the dividend. DivisorThe number by which the dividend is divided. It tells you how many equal groups you are making or the size of each group.In 10 รท 4, 4 is the divisor. QuotientThe result of a division problem. When we talk about 'decimal quotients,' it means the answer includes decimal places.In 10 รท 4 = 2.5, 2.5 is the quotient. Decimal PointA symbol used to separate the whole number part from the fractional (decimal) part of a number.In 2.5, the dot between 2 and 5 is the decimal point. Terminating DecimalA decimal that has a finite number of digits after the decimal point; it ends.0.5, 2.75, 12.345 are terminating decimals. Repeating DecimalA decimal that h...
3

Core Formulas

Dividing Whole Numbers to Get a Decimal Quotient When dividing a whole number by another whole number and there's a remainder, you can add a decimal point and zeros to the dividend to continue the division process. Place a decimal point after the dividend, add zeros (e.g., 7 becomes 7.00), and then perform long division as usual, placing the decimal point in the quotient directly above the decimal point in the dividend. Dividing a Decimal by a Whole Number Perform long division as you would with whole numbers, but place the decimal point in the quotient directly above the decimal point in the dividend. Align the decimal point in the quotient with the decimal point in the dividend before you start dividing. Then, proceed with the division process, bringing down digits (i...

5 more steps in this tutorial

Sign up free to access the complete tutorial with worked examples and practice.

Sign Up Free to Continue

Sample Practice Questions

Challenging
A baker has 10.5 kg of flour. A cake recipe requires 0.75 kg of flour. A cookie recipe requires 0.125 kg of flour. If she makes 5 cakes, how many full batches of cookies can she make with the remaining flour?
A.54 batches
B.55 batches
C.53 batches
D.52 batches
Easy
In the problem 25.8 รท 6 = 4.3, what is the term for the number 25.8?
A.Divisor
B.Quotient
C.Dividend
D.Decimal Point
Easy
What is the quotient of 12.4 รท 4?
A.31
B.3.1
C.0.31
D.310

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Decimals

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.