Interpreting Numerical Expressions
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Interpreting Numerical Expressions
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Presentation Transcript
TheNumberSystem Rational and IrrationalNumbers WWW.SUDO24.COM
LearningOutcomes 1 Understandthe differencebetween rationalandirrational numbers 2 Approximatethevalueof irrationalnumbers WWW.SUDO24.COM
RationalandIrrationalNumbers Rationalnumbers Anumberisrationalifitcanbe expressedasafraction.It includespositiveandnegative numbersincluding0. Irrationalnumbers Irrationalnumberscannotbe expressedasasimplefraction. Whenwrittenasadecimal, theyarenonrecurringanddo notterminate. _ . - WWW.SUDO24.COM
ApproximatingIrrationalNumbers Approximatethevalueof√6 √6 √9 √4 2 ≈2.4 3 Bylookingatconsecutivesquarenumberscloseto√6,youcanestimate itsvaluetobebetween2and3. WWW.SUDO24.COM
ApproximatingIrrationalNumbers Approximatethevalueof√6tothenearesthundredth √6 6.25 5.76 2.4 2.5 × 2.4 × 2.5 2.42 ≈2.45 2.52 96 125 480 500 576 625 Squaringbothnumbersshows that√6isapproximatelyhalfway between2.4and2.5,thereforea reasonableestimatetothenearest hundredthwouldbe2.45. =5.76 =6.25 Square2.5toseehow closeitisto6. Squaretheestimateof2.4 toseehowcloseitisto6. WWW.SUDO24.COM
PracticeQuestions 1 Locatethetwointegerswhich√5 liesbetween. Whichletteronthenumberline bestrepresentsthevalueof√7? 2 A B C 3 2 Whichisthebestestimateforthe valueof√7tothenearesttenth? 3 2.8 2.7 2.6 A C B WWW.SUDO24.COM
Solutions Locatethetwointegerswhich√5 liesbetween. 2and3 1 Whichletteronthenumberline bestrepresentsthevalueof√7? B Whichisthebestestimateforthe valueof√7tothenearesttenth? 2 A B C 3 2 3 2.8 2.7 2.6 A C B WWW.SUDO24.COM
Challenge 1 Whichisthebestestimateforthevalueof√82 to thenearesthundredth? 9.06 9.05 9.10 A C B Writedowntheapproximatevalueof2πtothe 2 nearesthundredth? Writedowntheapproximatevalueof2√3tothe 3 nearesthundredth? WWW.SUDO24.COM
Solutions 1 Whichisthebestestimateforthevalueof√82 to thenearesthundredth? 9.06 9.05 9.10 A C B Writedowntheapproximatevalueof2πtothe 2 nearesthundredth? 6.28 Writedowntheapproximatevalueof2√3tothe nearesthundredth? 3.46 3 WWW.SUDO24.COM
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