SOLUTION: is 0.37 an irrational number and how do i tell??

Algebra.Com
Question 302835: is 0.37 an irrational number and how do i tell??
Found 3 solutions by richwmiller, Fombitz, solver91311:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Rational numbers can be written as ratios that is a fraction.
.37 is 37/100

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Irrational numbers are numbers that cannot be represented as ratio of two integers.
It's a ratio of 37 to 100 so it's a rational number.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


No, 0.37 is NOT an irrational number. An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient (or ratio -- hence the name rational) of two integers. 37 is an integer and 100 is an integer and 0.37 is EXACTLY equal to , therefore 0.37 is rational. ANY number that can be EXACTLY expressed as a decimal, no matter how many decimal places it has, is a rational number. Just count the number of decimal places represented, take away the decimal point, and make the denominator a 1 followed by a number of zeros equal to the count of decimal places. Any decimal that repeats is also a rational number.


John


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