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# Decimals and fractions

## on Apr 19, 2011

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## Decimals and fractionsPresentation 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!