Download Common Core Lesson 1-1 Rational Numbers and Decimals

August 28, 2013
Common Core
Lesson 1-1
Rational Numbers and
Decimals
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Focus:
How can you convert a rational
number to a decimal?
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To be successful in this section, you must be able to:
Divide (by hand) multi-digit numbers. This means long division!!
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Vocabulary
Rational Number: a number that can be
written as a ratio (fraction) of two integers.
Example: 5/8 is rational
.89 is rational because it is 89/100
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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.
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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.
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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.
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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
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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.
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So....
Look at the decimal 0.131133111333...if the pattern continues, is
this a repeating decimal? Explain.
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Essential Question (journal time)...
How can you convert a rational number to a decimal?
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Accelerated Math
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Rational numbers
Irrational numbers
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Irrational Fun!!!!