is a 9.373 is a repeating decimal. it is a rational? explain why?
Answers
The number 9.373 is not a repeating decimal. It is a terminating decimal because the decimal has a distinct ending number.
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Given : number 9.373
To Find : is it a repeating decimal
is it a rational number
Solution:
Real numbers are categorized in Rational and irrational Numbers
Rational numbers can be represented in the form p/q where p,q are integers and q ≠ 0
Rational numbers are either terminating decimal or non terminating recurring decimals
Irrational numbers are non terminating no recurring decimals
9.373 is not repeating decimal
9.373 = 9373/1000
= p/q form hence rational number
9373/1000
= 9373/2³ * 5³
Rational numbers in simple fraction form having denominators only in the form
2ᵃ*5ᵇ where a and b are non negative integers are Terminating decimals
Rational numbers in simple fraction form having any prime factor other than 2 and 5 in denominator are non terminating repeating decimals
For example 1/3 , 2/3
Hence
9.373 is NOT a repeating decimal
9.373 is a RATIONAL Number...
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