Question

Which of the following will not represent zero:-
1. \[\dfrac{0}{2}\]
2. 0.00
3. \[\dfrac{10}{10}-1\]
4. \[\dfrac{5}{2}\]

Answer 1

Hint: We must know the following things:-
1) If the numerator of any fraction is zero, then the whole fraction becomes zero.
2) If the numerator and the denominator of a fraction are the same, then the fraction represents
3) When the denominator of a fraction is less than the numerator, then the fraction is an improper fraction and can be converted into a mixed fraction, which is the combination of whole number and a proper fraction.

Complete step-by-step answer:
Let us now solve the question.
We will consider every option.
1) \[\dfrac{0}{2}\]
As mentioned in the hint provided above, if the numerator of any fraction is zero, then the whole fraction becomes zero.
We can see that this option has a fraction which has 0 as the numerator.
So, this fraction represents 0, and hence, this cannot be the correct option.

2) 0.00
We can see that the whole number in this decimal number is 0. Therefore, as this number represents 0, therefore, this also cannot be the correct option.

3) \[\dfrac{10}{10}-1\]
As mentioned in the hint provided above, if the numerator and the denominator of a fraction are the same, then the fraction represents 1. So, this option becomes 1 – 1, which is also 0.
So, this option is also incorrect.

4) \[\dfrac{5}{2}\]
As mentioned in the hint provided above, when the denominator of a fraction is less than the numerator, and then the fraction is an improper fraction and can be converted into a mixed fraction, which is the combination of whole number and a proper fraction.
So, as this fraction is an improper fraction, we need to convert it into a mixed fraction.
We will divide 5 by 2.

Hence, the mixed fraction that we shall get is \[2\dfrac{1}{2}\].
Here, we can see that the whole number is 2, which is not equal to 0.
Therefore, this is the correct option.
Hence, the answer of this question is (d).

Note: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator) For ex.\[\dfrac{2}{3}\],\[\dfrac{3}{4}\].
Fractions with the numerator either equal to or greater than the denominator are called improper fraction. For eg. \[\dfrac{5}{4}\],\[\dfrac{3}{2}\].
A combination of a proper fraction and a whole number is called a mixed fraction. For eg.\[2\dfrac{1}{2}\].
Students must be careful while solving these types of questions.