Main content

Module 2: Rational numbers

Topic A: Addition and subtraction of integers and rational numbers

Learn
Adding negative numbers example
(Opens a modal)
Adding & subtracting negative numbers
(Opens a modal)
Subtracting a negative = adding a positive
(Opens a modal)
Adding negative numbers on the number line
(Opens a modal)
Adding negative numbers review
(Opens a modal)
Subtracting negative numbers review
(Opens a modal)
Number equations & number lines
(Opens a modal)
Interpreting numeric expressions example
(Opens a modal)
Absolute value as distance between numbers
(Opens a modal)
Equivalent expressions with negative numbers
(Opens a modal)
Interpreting absolute value as distance
(Opens a modal)
Adding fractions with different signs
(Opens a modal)
Adding & subtracting fractions
(Opens a modal)
Comparing rational numbers
(Opens a modal)
Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
(Opens a modal)
Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
(Opens a modal)
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
(Opens a modal)
Why a negative times a negative makes sense
(Opens a modal)
Multiplying positive & negative numbers
(Opens a modal)
Dividing positive and negative numbers
(Opens a modal)
Multiplying negative numbers review
(Opens a modal)
Dividing negative numbers review
(Opens a modal)
Rewriting decimals as fractions: 2.75
(Opens a modal)
Fraction to decimal: 11/25
(Opens a modal)
Worked example: Converting a fraction (7/8) to a decimal
(Opens a modal)
Fraction to decimal with rounding
(Opens a modal)
Multiplying positive and negative fractions
(Opens a modal)
Dividing negative fractions
(Opens a modal)
Negative signs in fractions
(Opens a modal)
Dividing mixed numbers
(Opens a modal)
Simplifying complex fractions
(Opens a modal)
Expressions with rational numbers
(Opens a modal)
Equivalent expressions with negative numbers (multiplication and division)
(Opens a modal)
Why dividing by zero is undefined
(Opens a modal)
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!
Rewrite 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
(Opens a modal)
Negative number word problem: temperatures
(Opens a modal)
Negative number word problem: Alaska
(Opens a modal)
Interpreting negative number statements
(Opens a modal)
Interpreting multiplication & division of negative numbers
(Opens a modal)
Addition & subtraction: find the missing value (part 1 of 2)
(Opens a modal)
Addition & subtraction: find the missing value (part 2 of 2)
(Opens a modal)
Substitution with negative numbers
(Opens a modal)
Ordering expressions
(Opens a modal)
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