You can add a small irrational number - smaller than the difference - to one. For example, 1 + pi/4.
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There is an infinity of Irrational Numbers between 1 and 2.
For example, sqrt(2), or sqrt(3), or (sqrt(5)/2 or cuberoot(7), or pi/2
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
To 4.5, add the difference between the two numbers (0.1), multiplied by some irrational number that is less than 1 (or divided by an irrational number greater than 1). For example:4.5 + 0.1 / pi
There is no such number. Between any two irrational numbers there are infinitely many irrational numbers. So, the claim that x is the irrational number closest to ten can be demolished by the fact that there are infinitely many irrational numbers between x and 10 (or 10 and x).
An irrational number refers to one that can not be written as a ratio, or fraction, between two whole numbers.
No. Irrational numbers can not be expressed as a ratio between two integers.