Rational vs. Irrational

integers as ratios

-1,0,1 -1/1,0/x,1/1 yes the the integer is the numerator and 1 is the denominator

examples of decimals as ratios

0.254= 254/1000 = 127/500

fractions as ratios

4/3 is a fraction in these two other forms 1. 4:3 2. 4 to 3

example of an integer as ratio

7=7/1

Difference between rational and irrational

[ratio]nal( has a ratio ) vs. irrational( doesn't have a ratio)

rational

all rational numbers have a ratio or fraction form

Pi

can't be explained as a ratio . does not have an exact value . ( irrational) example: 3.14=3&14/100=314/100=22/7 because 22 dived by 7 is 3.14 (approximations)

non perfect square roots

can't be expressed as ratios because they are irrational number

if a number isn't a ration it is a

irrational number

rational

whole numbers positive numbers negative integers fractions decimals perfect square roots

decimals as ratios

yes. 0.5 is = 5/10 because 5 is in the tenths place

if a number has fraction form then

it has ratio form

irrational

non perfect square roots Pi

irrational numbers work with

non perfect squares and Pi

examples of square roots into ratios

√49=7 becomes 7/1

square roots as ratios

√4=2=2/1 if it is a perfect square root and integer then it can be made into ratio or fraction form