Find the irrational number between 0.3101 and 0.3333

π/10

Step-by-step explanation:

Irrational Numbers

The irrational numbers are identified because, unlike rational numbers, they cannot be expressed as fractions, i.e., as the result of a division between two integers.

If a number is expressed with a limited number of decimals, it's always possible to write it as a rational.

For example, number 1.2319 can be written as 12319/10000.

Even if the number has an unlimited decimal expression, it could be expressed as rational if the decimal part is periodic. Number 2.33333... is rational because it's equivalent to the fraction 7/3.

We need to find an irrational number between 0.3101 and 0.3333.

Any number within the range with unlimited non-periodic decimals will do:

0.3189567363 is a good example.

We'll choose the number

π/10 since π is a known irrational number and π/10=0.3141592... lies in the given interval.

a

Step-by-step explanation: