Decimals

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Decimals
The relationship between fractions and decimals
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Two Questions
2
ponder
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What fraction of the rectangle is green?
They sound alike!!!
What decimal part of the rectangle is green?
.6
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To write a decimal as a fraction, write the
fraction as you would say the decimal
Hundredths
Ten-thousandths
tenths
0.12345
Hundred-thousandths
Thousandths
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Say the decimal.Write it as a fraction
Notice.when you change a decimal to a fraction
the denominator is always 10, 100, 1000 (powers
of ten!)

• .5
• .65
• .22
• .2
• .225

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Is that all there is?
Of Course Not
You have to simplify the fraction if possible
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Write .6 as a fraction
BUT
SO
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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!
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One more thing
When you divide, REMEMBER, add zeros to finish
your division.
AND
2 THINGS CAN HAPPEN
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The division problem ends
A Terminating decimal
The division problem goes on forever.Repeating
decimal
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Repeating Decimals
A single digit might repeat. .3333. Or a group
of digits might repeat .275275275.
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Show repeating decimals by placing a line over
the digit or group of digits that repeats
.33333. Becomes .3 And .275275.becomes .275
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Remember
Whole numbers stay the same!
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Homework
Page 212 in your textbook. Problems 14-38 Start
now!