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Module 1: Place value and decimal fractions

Topic A: Multiplicative patterns on the place value chart

Learn
Place value with decimals
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Decimal place value review
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Multiplying and dividing by 10, 100, 1000
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Multiplying and dividing by powers of 10
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Introduction to powers of 10
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Powers of 10 review
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Multiplying decimals by 10, 100, and 1000
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Dividing decimals by 10, 100, and 1000
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Using exponents with powers of 10
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Exponents and powers of 10 patterns
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Thousandths on the number line
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Fractions as division by power of 10
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Comparing decimal place values
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Practice
Place value namesGet 5 of 7 questions to level up!
Value of a digitGet 5 of 7 questions to level up!
Multiply and divide by powers of 10Get 5 of 7 questions to level up!
Powers of tenGet 5 of 7 questions to level up!
Multiply and divide decimals by 10Get 3 of 4 questions to level up!
Multiply and divide decimals by 10, 100, and 1000Get 3 of 4 questions to level up!
Decimals on the number line: thousandthsGet 3 of 4 questions to level up!
Compare decimal place valueGet 3 of 4 questions to level up!

Topic B: Decimal fractions and place value patterns

Learn
Write decimal in expanded form
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Decimals in expanded form review
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Decimals in written form (hundredths)
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Decimals in written form (thousandths)
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Decimals in written form review
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Expressing decimals in multiple forms
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Visual understanding of regrouping decimals
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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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Comparing decimals word problems
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Ordering decimals
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Ordering decimals through thousandths
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Practice
Decimals in expanded formGet 3 of 4 questions to level up!
Decimals in written formGet 3 of 4 questions to level up!
Decimals in written and expanded formGet 3 of 4 questions to level up!
Write common fractions as decimalsGet 5 of 7 questions to level up!
Compare decimals through thousandthsGet 5 of 7 questions to level up!
Compare decimals in different formsGet 3 of 4 questions to level up!
Order decimalsGet 3 of 4 questions to level up!
Compare decimals word problemsGet 3 of 4 questions to level up!
Regroup decimalsGet 3 of 4 questions to level up!

Topic C: Place value and rounding decimal fractions

Learn
Worked example: Rounding decimals to nearest tenth
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Rounding decimals on the number line
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Rounding decimals word problems
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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 word problemsGet 3 of 4 questions to level up!
Round decimals challengeGet 3 of 4 questions to level up!

Topic D: Adding and subtracting decimals

Learn
Estimating decimal addition
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Adding decimals
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Introduction to adding decimals: tenths
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Adding decimals with ones and tenths parts
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Adding decimals with hundredths
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Adding decimals with ones, tenths and 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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Estimating decimal subtraction
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Strategies for subtracting basic decimals
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Subtracting decimals
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Strategies for subtracting more complex decimals with tenths
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More advanced subtraction strategies with hundredths
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Subtraction strategies with hundredths
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Subtracting decimals: 10.1-3.93
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Subtracting decimals: 9.57-8.09
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Practice
Estimating with adding decimalsGet 5 of 7 questions to level up!
Add decimals visuallyGet 5 of 7 questions to level up!
Add decimals like 0.7+0.5Get 3 of 4 questions to level up!
Add decimals like 4+5.7Get 3 of 4 questions to level up!
Add decimals like 40.1+7.6Get 3 of 4 questions to level up!
Add decimals like 0.76+0.21Get 3 of 4 questions to level up!
Add decimals like 5.53+6.1Get 3 of 4 questions to level up!
Add decimals like 47.75+11.98Get 3 of 4 questions to level up!
Estimating with subtracting decimalsGet 5 of 7 questions to level up!
Subtract decimals visuallyGet 5 of 7 questions to level up!
Subtract decimals like 0.9-0.7Get 3 of 4 questions to level up!
Subtract decimals like 1.6-0.3Get 3 of 4 questions to level up!
Subtract decimals like 78.4-3Get 3 of 4 questions to level up!
Subtract decimals like 56.8-17.9Get 3 of 4 questions to level up!
Subtract decimals like 0.75-0.56Get 3 of 4 questions to level up!
Subtract decimals like 0.6-0.43Get 3 of 4 questions to level up!
Subtract decimals like 67.89-6Get 3 of 4 questions to level up!
Subtract decimals like 15-7.45Get 3 of 4 questions to level up!

Topic E: Multiplying decimals

Learn
Estimating decimal multiplication
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Developing strategies for multiplying decimals
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Multiplying decimals (no standard algorithm)
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Practice
Estimating with multiplying decimals and whole numbersGet 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!
Estimating with multiplying decimalsGet 3 of 4 questions to level up!
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 decimals tenthsGet 5 of 7 questions to level up!
Multiply decimals (up to 4-digit factors)Get 3 of 4 questions to level up!

Topic F: Dividing decimals

Learn
Division strategies for decimal quotients
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Strategies for dividing by tenths
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Multiplying and dividing decimals by 10, 100, 1000
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Practice
Divide decimals by whole numbers visuallyGet 3 of 4 questions to level up!
Divide whole numbers by decimals visuallyGet 3 of 4 questions to level up!
Divide whole numbers to get a decimal (1-digit divisors)Get 3 of 4 questions to level up!
Divide decimals by whole numbersGet 3 of 4 questions to level up!
Divide whole numbers by decimalsGet 3 of 4 questions to level up!
Multiply and divide decimals by 10Get 3 of 4 questions to level up!

About this unit

"In Module 1, students’ understandings of the patterns in the base ten system are extended from Grade 4’s work with place value to include decimals to the thousandths place. In Grade 5, students deepen their knowledge through a more generalized understanding of the relationships between and among adjacent places on the place value chart, e.g., 1 tenth times any digit on the place value chart moves the digit one place value to the right (5.NBT.1). Toward the module’s end, students apply these new understandings as they reason about and perform decimal operations through the hundredths place." Eureka Math/EngageNY (c) 2015 GreatMinds.org