
State true or false, Zero is a rational number
A) True
B) False
Answer
585.9k+ views
Hint: In order to solve this question we need to know about whole numbers and integers.
Whole numbers include all natural numbers including zero but it does not include a mixed fraction or decimal number.
Integers include all natural numbers, both positive and negative but not fraction.
Finally we get the required answer.
Complete step-by-step answer:
It is given that the number is a rational number.
Here the definition of the Rational numbers, are those numbers which are integers can be expressed in fraction or in the form of $\dfrac{p}{q}$ where $p$ and $q$ are integers but $q \ne 0$.
As zero comes under the whole number and integers.
So zero is regarded as a rational number because it can be expressed in fraction.
For example, we have to take a number as we can write it as,
$\dfrac{0}{5} = 0$.
The above example shows that the result of that fraction gives zero.
So we can surely say that zero is a rational number.
Therefore, the given statement Zero is a rational number is true.
Thus the correct option is A which is true.
Note: Rational numbers are those numbers which can be expressed in fraction or decimal.
For example $0.75,\dfrac{1}{2}$ etc.
Whole numbers include all sets of natural numbers including zero.
It is considered as whole because it cannot be a mixed fraction or decimal or a rational number.
Zero is both a number and the numerical digit used to represent that number in numerical values.
Today it is difficult to imagine how you could have mathematics without zero.
Whole numbers include all natural numbers including zero but it does not include a mixed fraction or decimal number.
Integers include all natural numbers, both positive and negative but not fraction.
Finally we get the required answer.
Complete step-by-step answer:
It is given that the number is a rational number.
Here the definition of the Rational numbers, are those numbers which are integers can be expressed in fraction or in the form of $\dfrac{p}{q}$ where $p$ and $q$ are integers but $q \ne 0$.
As zero comes under the whole number and integers.
So zero is regarded as a rational number because it can be expressed in fraction.
For example, we have to take a number as we can write it as,
$\dfrac{0}{5} = 0$.
The above example shows that the result of that fraction gives zero.
So we can surely say that zero is a rational number.
Therefore, the given statement Zero is a rational number is true.
Thus the correct option is A which is true.
Note: Rational numbers are those numbers which can be expressed in fraction or decimal.
For example $0.75,\dfrac{1}{2}$ etc.
Whole numbers include all sets of natural numbers including zero.
It is considered as whole because it cannot be a mixed fraction or decimal or a rational number.
Zero is both a number and the numerical digit used to represent that number in numerical values.
Today it is difficult to imagine how you could have mathematics without zero.
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