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Finding Rational Numbers Between Two Rational Numbers Using Equivalent Rational Numbers

Between any t...

Question

Between any two numbers, there can be an infinite number of ___________.

natural numbers

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whole numbers

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integers

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rational numbers

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Solution

The correct option is D rational numbers
Between any two given numbers, it is not necessary to have an integer, whole number or natural number but, there will always be a rational number.
Example: Let us consider 1 and 2. Between 1 and 2, there are no natural numbers, whole numbers and integers, but we can find many rational numbers such as $\frac{6}{5}$ , $\frac{8}{7}$ , $\frac{3}{2}$ .

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Similar questions

State whether the following statements are true or false:

(a) The set of all even natural numbers is a infinite set.

(b) Every non-empty subset of has the smallest element.

(d) For each rational number, one can find the next rational number.

(e)There is no largest rational number.

(f) Every integer is either even or odd.

(g) Between any two rational numbers, there is an integer.

Between any two numbers, there can be an infinite number of____.

(i) natural numbers
(ii) whole numbers
(iii) integers
(iv) rational numbers

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