Monday, November 17, 2014

Rational and Irrational Numbers


Based on the definitions from the book, how can we put the definition for a rational number in our own words?

What do we think it means?
-The answer to a division problem. A number that you divide by another number (can't be zero)  like 2/1 (the 1 is the divisor)
-A number that isn't 0
-maybe 0 is the mid part and rational numbers are positive numbers

Can we give some examples?
Class thinks:
1/2, 9/11, -.3, 3/4, -7/5, .799, 21, 1.3, 22

Are rational numbers positive or negative?

6/3 is rational then is 2 rational?

Maybe whole numbers are rational and decimals and fractions are irrational?

Idea: If we go by the first definition, then rational #=everything

Can we give an example of an irrational number?

We now think negatives can be rational.  -6/-3=rational -6/0=irrational

Now we know 2 is rational.

Can every single number be rational?
yes, can terminate and repeat

Can you think of an irrational number?
-π (it never ends, it never repeats) 

R-62 Rational Numbers 
Integer ÷ Integer (≠0)=Rational #


An integer is a whole number either positive or negative. 

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