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Rational Numbers Review Sheet Test Date: _________How to prepare for a math testRead through this review sheet to determine what you know and what you don’t know. Focus your study time on what you don’t know first.Review vocabulary, reference sheets, notes, and key conceptsTry problems from the practice packet in your binder. Remember, answers are on the back!Go to Log in and use any of these resources:Watch – a purple button that is a personal tutor for each conceptCheck – the red check mark that is a quick quiz on a conceptResponse to Intervention – RtI button has very basic explanations of concepts with additional practice pagesWorksheets – a green button that has extra worksheets for concepts you may want to practice moreAsk for help! See Mrs. Blue during team support; ask a friend or a parent.Get a good night’s sleep and eat a good breakfast!Key conceptsRational NumbersWhat is a rational number?How does it compare to an integer?Know the Venn diagram of numbers (p.271) & be able to give examples of each type of numberChange a fraction into a decimal usingCommonly know factsPercentagesLong divisionWhat is a terminating decimal?What is a repeating decimal?How do you write a terminating decimal properly?How can you tell if a fraction will have a terminating or repeating decimal?Place rational numbers on a number line, remember numbers get smaller as they move left on the number lineCompare rational numbers using any of these strategies:Number linesCommon denominatorPlace valueAdding & Subtracting Rational NumbersUse the number line model to add or subtract rational numbersAddition means a move to the rightSubtraction means a move to the leftApply the rules for addition & subtraction of integers when adding rational numbersAddition: Same sign addition results in an answer with the same sign; think continuing in the same direction on the number line. Different sign addition results in a change in direction on a number line.Subtraction: Change the problem to “add the opposite” or “add the additive inverse”, you must change the operation & the sign of the 2nd integer.Add & subtract rational numbers {this includes fractions, mixed numbers}Multiplying Rational Numbers+ ? + = +– ? – = + (2 negatives make a positive)+ ? – = -– ? + = -Multiply rational numbersRemember the fraction multiplication algorithm….multiply numerator by numerator and denominator by denominator. Don’t forget to pre-reduce to save you time.Convert between measurement systems. Yes, more of these , only now we are going between customary and metric! I do not expect you to memorize the chart on p. 320 (I don’t even know all of these!!), but I do expect that you can use it to solve problems.Dividing Rational NumbersA quotient of two integers with the same sign is positive.A quotient of two integers with different signs is negative.Divide rational numbersRemember the fraction division algorithm…multiply by the reciprocal.What’s a reciprocal? ................
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