Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

7.4.aIdentify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.7.4.bInterpret the sum of two or more rational numbers, by using a number line and in real-world contexts.7.4.cExplain subtraction of rational numbers as addition of additive inverses.7.4.dUse a number line to demonstrate 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.7.4.eExtend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.7.4.fDivide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.7.4.gConvert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.
Khan Academy Resources
Multiplying negative numbers reviewSubtracting negative numbers reviewDividing negative numbers reviewMultiplying negative numbersConverting fractions to decimalsSubtracting negative numbersMultiplying positive and negative fractionsExponents with negative fractional basesAdding & subtracting rational numbersSigns of sumsAdding negative numbers on the number lineSubstitution with negative numbersInterpret negative number addition and subtraction expressionsOrder rational numbersDividing mixed numbers with negativesEquivalent expressions with negative numbersDividing negative numbersAdding & subtracting negative numbersOrdering negative number expressionsInterpreting negative number statementsNegative signs in fractionsSigns of expressions challengeSigns of expressionsDividing positive and negative fractionsAbsolute value to find distanceMultiplying & dividing negative numbers word problemsNumber equations & number linesAddition & subtraction: find the missing valueOne-step equations with negatives (add & subtract)Understand subtraction as adding the oppositeEquivalent expressions with negative numbers (multiplication and division)Subtracting a negative = adding a positiveWhy a negative times a negative makes senseAdding numbers with different signsAdding fractions with different signsAdding negative numbers exampleComparing rational numbersWorked example: Converting a fraction (7/8) to a decimal Multiplying positive & negative numbersDividing positive and negative numbersWhy a negative times a negative is a positiveFraction to decimal with roundingFraction to decimal: 11/25Sign of expressions challenge problemsAdding negative numbers on the number lineAbsolute value as distance between numbersInterpreting absolute value as distanceThe 0 & 1st powerAddition & subtraction: find the missing value (part 1 of 2)Substitution with negative numbersAdding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%Even & odd numbers of negativesInterpreting multiplication & division of negative numbersNegative signs in fractionsAdding & subtracting rational numbers: 79% - 79.1 - 58 1/10Multiplying positive and negative fractionsExponents with negative basesInterpreting numeric expressions exampleDividing negative fractionsOrdering expressions1 and -1 to different powersNumber equations & number linesInterpreting negative number statementsEquivalent expressions with negative numbers (multiplication and division)Adding & subtracting negative numbersEquivalent expressions with negative numbersAdding & subtracting fractionsAddition & subtraction: find the missing value (part 2 of 2)
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