Question

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Which numbers are rational numbers?

I. π
II. 120.5
III. 12
IV. 7.25468
V. –56
VI. 2√
Question 5 options:


I and III


II, III, IV, and V


III only


All of the numbers are rational.

Answer 1

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Let us check each of them one by one:

I. π

π (Pi) is a famous irrational number. We cannot write down a simple fraction that equals Pi. The popular approximation of 22/7 = 3.1428571428571... is close but not accurate. Another clue is that the decimal goes on forever without repeating.

II.

120.5

we can write it in fraction as 1205/10

So it is a rational number

III. 12

We can write 12 as 12/1,

So it is a rational number.

IV.

7.25468

It can be written as 725468/100000

So it is a rational number.

V.

-56

We can write -56 as -56/1.

So it is a rational number.

VI.

2√

Since square root is involved, it is irrational.

Answer :

II, III, IV and V are rational numbers.