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Unit: Decimals

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Possible mastery points

Intro to decimals

Learn
Decimal place value
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Relating decimals and fractions in words
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Decimals as words
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Write decimal in expanded form
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Writing decimal numbers shown in grids
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Writing decimals and fractions greater than 1 shown on grids
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Place value with decimals
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Visual understanding of regrouping decimals
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Expressing decimals in multiple forms
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Practice
Decimals in wordsGet 3 of 4 questions to level up!
Decimals in expanded formGet 3 of 4 questions to level up!
Write decimals and fractions greater than 1 shown on gridsGet 3 of 4 questions to level up!
Relate decimals and fractions in wordsGet 3 of 4 questions to level up!
Decimals in written and expanded formGet 3 of 4 questions to level up!

Decimals on the number line

Learn
Graphing tenths from 0 to 1
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Identifying tenths on a number line
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Plotting decimal numbers on a number line
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Graphing hundredths from 0 to 0.1
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Identifying hundredths on a number line
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Thousandths on the number line
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Writing decimals and fractions shown on number lines
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Practice
Decimals on the number line: tenthsGet 3 of 4 questions to level up!
Decimals on the number line: hundredthsGet 3 of 4 questions to level up!
Decimals on the number line: thousandthsGet 3 of 4 questions to level up!
Write decimals and fractions shown on number linesGet 3 of 4 questions to level up!
Write decimals and fractions greater than 1 shown on number linesGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 1000 Mastery points

Rounding decimals

Learn
Worked example: Rounding decimals to nearest tenth
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Rounding decimals on the number line
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Practice
Round decimals Get 5 of 7 questions to level up!
Round decimals using a number lineGet 3 of 4 questions to level up!
Round decimals challengeGet 3 of 4 questions to level up!

Comparing decimals

Learn
Comparing decimals 2
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Comparing decimals 3
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Comparing decimals: 9.97 and 9.798
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Comparing decimals: 156.378 and 156.348
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Comparing decimals in different representations
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Ordering decimals 1
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Ordering decimals 2
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Ordering decimals
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Ordering decimals through thousandths
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Practice
Compare decimals (tenths and hundredths)Get 5 of 7 questions to level up!
Compare decimals through thousandthsGet 5 of 7 questions to level up!
Compare decimal place valueGet 3 of 4 questions to level up!
Order decimalsGet 3 of 4 questions to level up!
Order decimals and fractions in different formsGet 3 of 4 questions to level up!

Rewriting decimals as fractions

Learn
Writing a number as a fraction and decimal
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Rewriting decimals as fractions: 0.15
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Rewriting decimals as fractions: 0.8
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Rewriting decimals as fractions: 0.36
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Fraction to decimal: 11/25
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Worked example: Converting a fraction (7/8) to a decimal
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Converting decimals to fractions 2 (ex 1)
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Converting decimals to fractions 2 (ex 2)
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Practice
Write fractions as decimals (denominators of 10 & 100)Get 3 of 4 questions to level up!
Write decimals and fractions shown on gridsGet 3 of 4 questions to level up!
Write decimals as fractionsGet 5 of 7 questions to level up!
Converting fractions to decimalsGet 3 of 4 questions to level up!
Rewriting decimals as fractions challengeGet 5 of 7 questions to level up!
Write common fractions as decimalsGet 5 of 7 questions to level up!

Quiz 2

Level up on the above skills and collect up to 1400 Mastery points

Adding decimals

Learn
Introduction to adding decimals: tenths
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Adding decimals with hundredths
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Adding decimals: 9.087+15.31
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Adding decimals: 0.822+5.65
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Adding three decimals
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Adding decimals
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Practice
Add decimals visuallyGet 5 of 7 questions to level up!
Adding decimals: tenthsGet 5 of 7 questions to level up!
Adding decimals: hundredthsGet 5 of 7 questions to level up!
Adding decimals: thousandthsGet 5 of 7 questions to level up!

Subtracting decimals

Learn
Strategies for subtracting more complex decimals with tenths
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More advanced subtraction strategies with hundredths
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Subtracting decimals: 9.005 - 3.6
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Subtracting decimals: 39.1 - 0.794
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Subtracting decimals
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Practice
Subtract decimals visuallyGet 5 of 7 questions to level up!
Subtracting decimals: tenthsGet 5 of 7 questions to level up!
Subtracting decimals: hundredthsGet 5 of 7 questions to level up!
Subtracting decimals: thousandthsGet 5 of 7 questions to level up!

Adding and subtracting decimals word problems

Learn
Adding decimals word problem
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Adding & subtracting decimals word problem
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Practice
Adding & subtracting decimals word problemsGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 900 Mastery points

Multiplying decimals

Learn
Intro to multiplying decimals
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Developing strategies for multiplying decimals
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Multiplying decimals: place value
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Multiplying challenging decimals
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Multiplying decimals (no standard algorithm)
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Practice
Represent decimal multiplication with grids and area modelsGet 3 of 4 questions to level up!
Understand multiplying decimalsGet 3 of 4 questions to level up!
Multiply whole numbers by 0.1 and 0.01Get 3 of 4 questions to level up!
Multiply decimals and whole numbers visuallyGet 5 of 7 questions to level up!
Multiply whole numbers and decimalsGet 3 of 4 questions to level up!
Multiplying decimals like 4x0.6 (standard algorithm)Get 5 of 7 questions to level up!
Multiplying decimals like 2.45x3.6 (standard algorithm)Get 5 of 7 questions to level up!
Multiplying decimals like 0.847x3.54 (standard algorithm)Get 3 of 4 questions to level up!
Multiply decimals (up to 4-digit factors)Get 3 of 4 questions to level up!

Dividing decimals

Learn
Dividing whole numbers to get a decimal
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Division strategies for decimal quotients
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Multiplying and dividing decimals by 10
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Dividing decimals
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Multi-digit division strategies for decimals
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Strategies for dividing by tenths
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Dividing decimals completely
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Dividing decimals with hundredths
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Long division with decimals
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Dividing by a multi-digit decimal
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Multiplying and dividing decimals by 10, 100, 1000
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Practice
Dividing whole numbers like 56÷35 to get a decimalGet 5 of 7 questions to level up!
Divide whole numbers by decimals visuallyGet 3 of 4 questions to level up!
Divide decimals by whole numbers visuallyGet 3 of 4 questions to level up!
Dividing decimals 1Get 5 of 7 questions to level up!
Dividing decimals 2Get 5 of 7 questions to level up!
Dividing decimals: hundredthsGet 3 of 4 questions to level up!
Dividing decimals: thousandthsGet 3 of 4 questions to level up!

Quiz 4

Level up on the above skills and collect up to 1600 Mastery points
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Unit test

Level up on all the skills in this unit and collect up to 4900 Mastery points!

About this unit

In this topic, we will learn what a decimal is and how to show it visually and on a number line. We will also add, subtract, multiply, and divide with decimals.