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Write one rational and irrational number lying between 0.25 and 0.32?
Most Upvoted Answer
Write one rational and irrational number lying between 0.25 and 0.32?
Rational number between 0.25 and 0.32 is 0.26.

Irrational number between 0.25 and 0.32 is 0.268645489347....

Step-by-step explanation:

To find : Write one rational and one irrational number lying between 0.25 and 0.32 ?

Solution :

Rational number is defined as number which is written in the form of p/q where p and q are integers and q is non-zero.

Rational numbers are terminating and repeating.

Irrational number is not a rational number.

Irrational numbers are non-terminating and non-repeating.

The number between 0.25 and 0.32.

and

Rational number is  

So, Rational number between 0.25 and 0.32 is 0.26.

Irrational number between 0.25 and 0.32 is 0.268645489347..
Community Answer
Write one rational and irrational number lying between 0.25 and 0.32?
Rational and Irrational Numbers Between 0.25 and 0.32


Rational Number


A rational number is any number that can be expressed as a fraction or ratio of two integers. The numerator and denominator of the fraction should be integers, and the denominator should not be zero.



  • One rational number between 0.25 and 0.32 is 5/16.

  • Explanation:

    • To find a rational number between 0.25 and 0.32, we need to look for a fraction whose decimal equivalent lies between 0.25 and 0.32.

    • We can convert the given decimals to fractions by placing the decimal number over a power of ten.

    • 0.25 = 25/100 = 1/4 and 0.32 = 32/100 = 8/25.

    • So, we need to find a fraction whose decimal equivalent lies between 0.25 and 0.32, which is 5/16.





Irrational Number


An irrational number is any number that cannot be expressed as a fraction or ratio of two integers. These numbers are non-repeating and non-terminating decimals.



  • One irrational number between 0.25 and 0.32 is √2/10.

  • Explanation:

    • √2/10 is an irrational number between 0.25 and 0.32.

    • We can approximate the value of √2 using a calculator, which is 1.41421356.

    • So, √2/10 = 0.141421356, which lies between 0.25 and 0.32.

    • This number is irrational because the square root of 2 is an irrational number, and dividing it by 10 does not make it rational.





Conclusion


In conclusion, the rational number between 0.25 and 0.32 is 5/16, and the irrational number is √2/10. These numbers can be used in various mathematical calculations and are important in understanding the different types of numbers.
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Write one rational and irrational number lying between 0.25 and 0.32?
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