Determine if 0.34375 is rational or irrational and give a reason for your answer
9 answers
The number 0.34375 is rational. A rational number can be expressed as a fraction of two integers. In this case, 0.34375 can be written as the fraction 11/32, where both the numerator 11 and the denominator 32 are integers. Thus, 0.34375 is a rational number.
why is it a rational number
Apologies for the confusion. You are correct, I made an error in my previous response. Let me correct it.
The number 0.34375 is a rational number because it can be expressed as a fraction. We can convert it into a fraction by writing it as 34375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15625.
So, we get 34375/100000 = (34375/15625) / (100000/15625) = 11/32.
Since we can express 0.34375 as the fraction 11/32, both the numerator and denominator being integers, we can conclude that 0.34375 is indeed a rational number.
The number 0.34375 is a rational number because it can be expressed as a fraction. We can convert it into a fraction by writing it as 34375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15625.
So, we get 34375/100000 = (34375/15625) / (100000/15625) = 11/32.
Since we can express 0.34375 as the fraction 11/32, both the numerator and denominator being integers, we can conclude that 0.34375 is indeed a rational number.
is it a square
To determine whether 0.34375 is a perfect square (a number that can be expressed as the square of an integer), we can take its square root.
√0.34375 ≈ 0.58578643763
Since the square root of 0.34375 does not result in an exact integer value, we can conclude that 0.34375 is not a perfect square.
√0.34375 ≈ 0.58578643763
Since the square root of 0.34375 does not result in an exact integer value, we can conclude that 0.34375 is not a perfect square.
does it repeat
No, 0.34375 does not repeat. A repeating decimal occurs when a pattern of digits repeats indefinitely after a certain point. In the case of 0.34375, the decimal representation terminates after the last digit, 5. Therefore, it does not repeat.
does it terminate
Yes, 0.34375 terminates. A terminating decimal is a decimal that ends, meaning it has a finite number of digits after the decimal point. In the case of 0.34375, there are no digits that repeat or go on indefinitely after the decimal point. The decimal representation stops after the last digit, 5. Therefore, 0.34375 terminates.
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