Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

7.NS.A.1.aDescribe situations in which opposite quantities combine to make 0.7.NS.A.1.bUnderstand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.7.NS.A.1.cUnderstand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.7.NS.A.1.dApply properties of operations as strategies to add and subtract rational numbers.
Khan Academy Resources
Subtracting negative numbers reviewAdding negative numbers reviewOrder of operations with negative numbersSubtracting negative numbersAdding & subtracting negative fractionsAdding negative numbersAdding & subtracting rational numbersSigns of sumsAdding negative numbers on the number lineSubstitution with negative numbersInterpret negative number addition and subtraction expressionsNegative number addition and subtraction: word problemsEquivalent expressions with negative numbersAdding & subtracting negative numbersOrdering negative number expressionsInterpreting negative number statementsAbsolute value to find distanceAbsolute value to find distance challengeAdd with integer chipsNumber equations & number linesSubtract with integer chipsAddition & subtraction: find the missing valueOne-step equations with negatives (add & subtract)Understand subtraction as adding the oppositeSubtracting a negative = adding a positiveAdding numbers with different signsAdding fractions with different signsOrder of operations exampleAdding negative numbers exampleIntro to order of operationsAdding integers: find the missing valueAdding negative numbers on the number lineAbsolute value as distance between numbersInterpreting absolute value as distanceNegative number word problem: AlaskaAddition & subtraction: find the missing value (part 1 of 2)Substitution with negative numbersAdding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%Adding and subtracting fractions with negativesAdding & subtracting rational numbers: 79% - 79.1 - 58 1/10Interpreting numeric expressions exampleOrdering expressionsSigns of sums on a number lineNumber equations & number linesInterpreting negative number statementsSubtracting integers: find the missing valueAdding & subtracting negative numbersSubtracting with integer chipsEquivalent expressions with negative numbersNegative number word problem: temperaturesAdding & subtracting fractionsAddition & subtraction: find the missing value (part 2 of 2)Expressions with rational numbers
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