If a is an integer and b is a rational number, then the number of rational numbers between a and b is

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100

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zero

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infinite

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Solution

The correct option is D
infinite

All integers are rational numbers with denominator 1. We know that between any two rational numbers, there are infinite rational numbers.

Thus, there are infinite rational numbers between a and b.

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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.

\frac{a}{b}

\frac{a}{b} = \frac{a \times m}{b \times m}

\frac{2}{3} is equal to \frac{4}{6} .

Which one of the following is correct and which one is not correct? Give reasons.

1) If 'a' is a rational number and 'b' is irrational, then a+b is irrational.

2) The product of a non-profit rational number with an irrational number is always irrational.

3) Addition of any two irrational numbers can be rational.

4) Division of any two integers is an integer.

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