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Module 2: Rational numbers

Topic A: Addition and subtraction of integers and rational numbers

Learn
Adding negative numbers example
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Adding & subtracting negative numbers
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Subtracting a negative = adding a positive
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Adding negative numbers on the number line
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Adding negative numbers review
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Subtracting negative numbers review
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Number equations & number lines
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Interpreting numeric expressions example
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Absolute value as distance between numbers
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Equivalent expressions with negative numbers
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Interpreting absolute value as distance
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Adding fractions with different signs
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Adding & subtracting fractions
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Comparing rational numbers
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Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
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Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
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Practice
Signs of sumsGet 5 of 7 questions to level up!
Adding negative numbersGet 5 of 7 questions to level up!
Understand subtraction as adding the oppositeGet 3 of 4 questions to level up!
Subtracting negative numbersGet 5 of 7 questions to level up!
Adding & subtracting negative numbersGet 5 of 7 questions to level up!
Adding negative numbers on the number lineGet 5 of 7 questions to level up!
Number equations & number linesGet 3 of 4 questions to level up!
Interpret negative number addition and subtraction expressionsGet 3 of 4 questions to level up!
Absolute value to find distanceGet 5 of 7 questions to level up!
Absolute value to find distance challengeGet 3 of 4 questions to level up!
Equivalent expressions with negative numbersGet 3 of 4 questions to level up!
Adding & subtracting negative fractionsGet 5 of 7 questions to level up!
Order rational numbersGet 3 of 4 questions to level up!
Adding & subtracting rational numbersGet 3 of 4 questions to level up!
One-step equations with negatives (add & subtract)Get 5 of 7 questions to level up!

Topic B: Multiplication and division of integers and rational numbers

Learn
Why a negative times a negative is a positive
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Why a negative times a negative makes sense
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Multiplying positive & negative numbers
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Dividing positive and negative numbers
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Multiplying negative numbers review
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Dividing negative numbers review
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Rewriting decimals as fractions: 2.75
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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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Fraction to decimal with rounding
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Multiplying positive and negative fractions
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Dividing negative fractions
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Negative signs in fractions
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Dividing mixed numbers
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Simplifying complex fractions
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Expressions with rational numbers
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Equivalent expressions with negative numbers (multiplication and division)
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Why dividing by zero is undefined
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Practice
Signs of expressionsGet 5 of 7 questions to level up!
Multiplying negative numbersGet 3 of 4 questions to level up!
Dividing negative numbersGet 3 of 4 questions to level up!
One-step equations with negatives (multiply & divide)Get 5 of 7 questions to level up!
Write decimals as fractionsGet 5 of 7 questions to level up!
Rewriting decimals as fractions challengeGet 5 of 7 questions to level up!
Converting fractions to decimalsGet 3 of 4 questions to level up!
Multiplying positive and negative fractionsGet 3 of 4 questions to level up!
Dividing positive and negative fractionsGet 3 of 4 questions to level up!
Negative signs in fractionsGet 3 of 4 questions to level up!
Negative signs in fractions (with variables)Get 3 of 4 questions to level up!
Dividing mixed numbers with negativesGet 3 of 4 questions to level up!
Simplify complex fractionsGet 5 of 7 questions to level up!
Equivalent expressions with negative numbers (multiplication and division)Get 3 of 4 questions to level up!
Dividing by zeroGet 3 of 4 questions to level up!

Topic C: Applying operations with rational numbers to expressions and equations

Learn
Order of operations example
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Negative number word problem: temperatures
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Negative number word problem: Alaska
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Interpreting negative number statements
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Interpreting multiplication & division of negative numbers
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Addition & subtraction: find the missing value (part 1 of 2)
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Addition & subtraction: find the missing value (part 2 of 2)
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Substitution with negative numbers
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Ordering expressions
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Practice
Order of operations with negative numbersGet 5 of 7 questions to level up!
Negative number addition and subtraction: word problemsGet 3 of 4 questions to level up!
Interpreting negative number statementsGet 3 of 4 questions to level up!
Multiplying & dividing negative numbers word problemsGet 3 of 4 questions to level up!
Addition & subtraction: find the missing valueGet 3 of 4 questions to level up!
Substitution with negative numbersGet 5 of 7 questions to level up!
Ordering negative number expressionsGet 3 of 4 questions to level up!

About this unit

"Students continue to build an understanding of the number line in Module 2 from their work in Grade 6. They learn to add, subtract, multiply, and divide rational numbers. Module 2 includes rational numbers as they appear in expressions and equations—work that is continued in Module 3." Eureka Math/EngageNY (c) 2015 GreatMinds.org