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The relationship between fractions and decimals
Two Questions 2 ponder
.6 What fraction of the rectangle is green? They sound alike!!!What decimal part of the rectangle is green? .6
To write a decimal as a fraction, write the fraction as you would say the decimalHundredths Ten-thousandths tenths Hundred-thousandths Thousandths
Say the decimal….Write it as a fractionNotice….when you change a decimal to a fraction the denominator is always 10, 100, 1000 (powers of ten!) .5 .65 .22 .2 .225
You have to simplify the fraction if possibleIs that all there is? Of Course Not You have to simplify the fraction if possible
Write .6 as a fraction .6 = Can be simplified to: BUT .6 = SO
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 .75
One more thing……… When you divide, REMEMBER, add zeros to finish your division. AND 2 THINGS CAN HAPPEN
The division problem endsA 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… ….
Show repeating decimals by placing a line over the digit or group of digits that repeats.33333…. Becomes .3 And ….becomes .275
Remember Will be 1.4 1.2 will be Simplified to:Whole numbers stay the same!
Homework Page 212 in your textbook…. Problems 14-38 Start now!
Warm-up What is the LCM of 10 and 15? What is the LCM of 12 and 36? Explain in your own words, why 1 is neither prime nor composite.
Decimals Start by turning to page 35 in the book. Discuss the 3 pictures.
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Copyright©amberpasillas2010 TAKE OUT A CALCULATOR.
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How do you convert fractions to decimals?. In this lesson you will learn how to convert fractions to decimals to the tenths place by using visual aids.
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Recurring Decimals = 0.333… = … = …
Decimals Decimals are a type of fractional number
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Percent to Fraction 1.Setup a fraction with 100 as denominator 2.Insert percent number as numerator 3. Common Factor of numerator and denominator 4.Divide.
Do Now 10/24/11 Take out your HW from Friday. –Text p. 77, #1-4 Copy HW in your planner. –Text p. 80, #14-38 evens, evens, 55 & 56 Be ready to copy.
Do Now 1/12/10 Copy HW in your planner. –Text p. 222, #20-60 evens Open your notebook to a new page and put the following heading on the top of the page.
Decimals and Fractions
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