Question

the number of rational number between 10 and 15​

Answer 1

There are infinite number of rational numbers between 10 and 15.

Step-by-step explanation:

• The numbers which are expressible in the form a/b, where a, b are integers and a is non-zero, are called rational numbers.

• We must know that there are infinite number of rational numbers between two rational numbers.

For example, 10 and 15 have infinite number of rational numbers between them.

• This can be showed by adding 10 and 15, and then dividing by 2. We get $\dfrac{25}{2}$, a rational number.

• Again, add $\dfrac{25}{2}$ and 15, and then divide by 2. We get $\dfrac{55}{4}$, a rational number.

• In this way, we can find infinitely many rational numbers between 10 and 15.

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