Post on 27-Dec-2015
transcript
Converting Decimals to Fractions
• To convert a decimal to a fraction:1)Determine where the
decimal ends2)Place the numerals after the
decimal over the appropriate denominator If there is a whole number, it
stays whole, just add it on at the end.
3)Simplify Let’s try one….
Converting Decimals to Fractions
Convert 0.3 to a fraction using the steps in the previous slide.
Step 1: determine where the decimal ends
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0 3Our decimal ends in the tenths place.
Converting Decimals to Fractions
Convert 0.3 to a fraction using the steps in the previous slide.
Step 2: place the numerals after the decimal point over the appropriate denominator.
Only 3
We discovered that our decimal ends in the tenths place. So our appropriate denominator is 10.
3
10
Converting Decimals to Fractions
Convert 0.3 to a fraction using the steps in the previous slide.
Step 3: Simplify
Can we simplify this fraction?
No! is already in simplest form!
Converting Decimals to Fractions
Let’s try with 1.46. How do we convert it to a fraction?
Step 1: determine where the decimal ends
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Converting Decimals to Fractions
Let’s try with 1.46. How do we convert it to a fraction?
Step 2: place the numerals after the decimal point over the appropriate denominator.
We discovered that our decimal ends in the _________ place. So our appropriate denominator is _____.
Converting Decimals to Fractions
Let’s try with 1.46. How do we convert it to a fraction?
Step 3: Simplify
Can we simplify this fraction?
1 46100
Converting Decimals to Fractions
• When you have a repeating decimal, your appropriate denominator is a multiple of 9 .1)If the numerals after the
decimal begin to repeat in the tenths place, our denominator is 9, if they begin to repeat in the hundredths place, our denominator is 99.
Let’s try one….
Converting Decimals to Fractions
Convert 0.8 to a fraction.
Step 1: determine where the decimal ends
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0 8Our decimal repeats after the tenths place. 88
Converting Decimals to Fractions
Convert 0.8 to a fraction.
Step 2: place the numerals that repeat
over the appropriate denominator.
Only 8
We discovered that our decimal ends in the tenths place. So our appropriate denominator is 9.
8
9
Converting Decimals to Fractions
Convert 0.8 to a fraction.
Step 3: Simplify
Can we simplify this fraction?
No! is already in simplest form!
89 8
9
Converting Decimals to Fractions
Let’s try with 0.64 .
Step 1: determine where the decimal repeats
tent
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tens
ones
DE
CIM
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PO
INT
tho
usa
nd
ths
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nd
red
ths
Converting Decimals to Fractions
Let’s try with 0.64 .
Step 2: place the numerals that repeat
over the appropriate denominator.
We discovered that our decimal ends in the _________ place. So our appropriate denominator is _____.
Converting Decimals to Fractions
Let’s try with 0.64 .
Step 3: Simplify
Can we simplify this fraction?
64100
Natural Numbers
• Natural numbers are all positive whole numbers that are not zero. These are also called counting numbers.
14
9
1,187859
68
Integers
• Integers are all whole and natural numbers, plus the negatives.
14
9
1,187859
68 -14
-9
-859
-68
-1,187
0
Rational Numbers
• A rational number is any number that can be written as a simple fraction. This includes all the integers as well as fractions, terminating decimals, and repeating decimals, 1.1 ½
0.333333…- 8
Irrational Numbers
• A number that cannot be written as a simple fraction, or a number containing a decimal that goes on forever but does not repeat is called irrational.
0.02858294462…
= 3.141592654
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