August 28, 2013

Focus:
How can you convert a rational number to a decimal?
August 28, 2013

August 28, 2013
To be successful in this section, you must be able to:
Divide (by hand) multi-digit numbers. This means long division!!

August 28, 2013
Vocabulary
Rational Number: a number that can be written as a ratio (fraction) of two integers.

August 28, 2013
Use a calculator to find the equivalent decimal form of each fraction. Remember that repeating numbers like .333333 can be written as .3. Then find the equivalent fraction for the last two.
Fraction
Decimal
Equivalent
3/4 5/8 1/3 2/9 11/8
0.8 0.125
What do you notice about the digits after the decimal point in the decimal forms of fractions? Compare notes with your neighbor and refine your conjecture if necessary.

August 28, 2013
Reflect:
1) consider the decimal 0.202002000200002000002... Do you think this decimal represents a rational number?
2) Do you think a negative sign affects whether or not a number is a rational number? Use - as -4/5 as an example.
3) Do you think a mixed number is a rational number? Explain.

August 28, 2013
Long Division Time!!!!
1) 5/16
2) 1/11
Question...Do you think that decimals that have repeating patterns always have the same number of digits in their pattern? Explain.

August 28, 2013
Writing Mixed Numbers as Decimals
Mrs. Kirchner bought 3 1/8 yards of material to make an outfit for her husband. Write 3 1/8 as a decimal.
Step 1: turn to improper fraction
Step 2: Divide numerator by denominator

August 28, 2013
Keep Trying...
Ms. Crane made 4 1/5 quarts of kool aid. Write 4 1/5 as a decimal.
Mrs. Phillips bought a cantaloup that weighed 6 2/3 pounds. Write
6 2/3 as a decimal.

August 28, 2013
So....
Look at the decimal 0.131133111333...if the pattern continues, is this a repeating decimal? Explain.

Essential Question (journal time)...
How can you convert a rational number to a decimal?
August 28, 2013

Accelerated Math
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Rational numbers
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Irrational numbers

Irrational Fun!!!!
August 28, 2013