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