Which of the following is rational?a. 4/0b. 0/4c. √3d. π
Question
Which of the following is rational?a. 4/0b. 0/4c. √3d. π
Solution
The rational numbers are those that can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not zero.
a. 4/0: This is undefined because division by zero is not allowed in mathematics. So, it's not a rational number.
b. 0/4: This equals 0, which is a rational number because it can be expressed as a fraction where the numerator is 0 and the denominator is an integer.
c. √3: This is an irrational number because it cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.
d. π: Pi is also an irrational number. It cannot be exactly expressed as a fraction of two integers and its decimal representation is non-terminating and non-repeating.
So, the rational number among the given options is 0/4.
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