Find and irrational number between 7.7 and 7.9

1 answer:

7 0

An irrational number is a number that can't be written as a rational number

to undestnad that, I will define what a rational number is
a rational number is a number that can be written in the form a/b where b≠0
repeating decimals are not irrational because the repeat can be made into a fraction, example: 0.1111111111=1/9

some common irrational numbers are pi or e or √2

a cheat way to make an irrational number between 7.6 and 7.7 would be this
I will make in terms of pi because the expanded form will be infinite since pi has infinite digits

find the bounds
I will do pi times c=that number
find teh bounds of c
7.6/pi≈2.419
7.9/pi≈2.514
so a number between 2.419 and 2.514 is 2.5, a nice number

so we can say that 2.5π is an irrational number between 7.6 and 7.9 (it evaluates to about 7.8539816339744830961566084581988....

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