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Rational Numbers

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by

Susan Bryan

on 2 September 2013

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Transcript of Rational Numbers

What is a Rational Number?
Ratio
The word "rational" comes from the word "ratio". All fractions are numbers that are written as ratios. For example we say 2 to 3 but write 2/3. Remember, the denominator of a fraction cannot be zero. Why?
Some decimals repeat, such as 0.3333333333 . . .
An easier way to write that is as 0.33.
3/4
.5
21/2
7/8
Rational Numbers
Rational numbers are numbers that can be written as fractions.
2/3
5/8 means 5 divided by 8.
0.625
8)5.000
-48
20
-16
40
-40
0
Decimals
Any fraction can be written as a decimal by dividing the numerator by the denominator.
5/8 = 0.625
Repeating Decimals
This is called bar notation.
Decimals that
end or repeat
are rational numbers because they can be written as fractions.
Decimals to Fractions
Divide the decimal number (without the point) by 10, 100, 1000, etc., depending on how many decimal places there are.
.45= 45/100
.3 = 3/10
.675 = 675/1000
Questions
1. Where does "rational" come from?
2. Which numbers are rational?
3. How do you change a fraction to a decimal?
4. How do you indicate a repeating decimal?
5. How do we know which decimals are rational?
6. How do you change a decimal to a fraction?
7. Why can the denominator not be zero?
Full transcript