Question

Find an irrational numbers between 4/9 and 5/9.

Answer 1

I guess we would have to find a decimal with a number that doesn't repeat, or terminate.

Answer 2

Is it find a irrational number or all irrational numbers between those fractions?

Answer 3

It's impossible to list out all of the irrational numbers between any two real numbers

Answer 4

.4510100100010000.. is one

Answer 5

because it is greater than .4444... and less than .5555...

Answer 6

correct @mathisfun13

Answer 7

I just need another example

Answer 8

another one is

step 1) take the midpoint of 0.4444... and 0.5555....
midpoint formula is M = (a+b)/2

step 2) add on some very small irrational number, like pi/1000 to make the overall result irrational

Answer 9

or you can compute the geometric mean of 4/9 and 5/9

Answer 10

gee... this cannot be easier...\[\frac{16}{81}<\frac{21}{81}<\frac{25}{81}\\\frac{4}{9}<\frac{\sqrt{21}}{9}<\frac{5}{9}\]

Answer 11

that works too