Decimals and fractions
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Decimals and fractions

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    Decimals and fractions Decimals and fractions Presentation Transcript

    • Decimals The relationship between fractions and decimals
    • Two Questions 2 ponder
    • What fraction of the rectangle is green? What decimal part of the rectangle is green? .6 They sound alike!!!
    • To write a decimal as a fraction, write the fraction as you would say the decimal 0.12345 tenths Hundredths Thousandths Ten-thousandths Hundred-thousandths
    • Say the decimal….Write it as a fraction
      • .5
      • .65
      • .22
      • .2
      • .225
      Notice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!)
    • Is that all there is? Of Course Not You have to simplify the fraction if possible
    • Write .6 as a fraction BUT SO .6 = Can be simplified to: .6 =
    • What about fractions to decimals? You can write a fraction as a decimal by dividing the numerator by the denominator…..the fraction symbol means division!
    • To make a decimal…do the division! .00 28 20 20 0 .75
    • One more thing……… When you divide, REMEMBER, add zeros to finish your division. AND 2 THINGS CAN HAPPEN
    • The division problem ends A Terminating decimal The division problem goes on forever…. Repeating decimal
    • Repeating Decimals A single digit might repeat…. .3333…. Or a group of digits might repeat… .275275275….
    • Show repeating decimals by placing a line over the digit or group of digits that repeats .33333…. Becomes .3 And .275275….becomes .275
    • Remember Whole numbers stay the same! Will be 1.4 1.2 will be Simplified to:
    • Homework Page 212 in your textbook…. Problems 14-38 Start now!