is 67% a rational or irrational number
In mathematics, an irrational number is any real number which cannot be expressed as a fraction p/q, where p and q are integers, with q non-zero and is therefore not a rational number. Informally, this means that an irrational number cannot be represented as a simple fraction.
To determine if 67% is a rational or irrational number, let's first understand what these terms mean.
A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers (whole numbers) and the denominator is not zero.
An irrational number, on the other hand, cannot be expressed as a fraction of two integers. Irrational numbers include square roots, cube roots, and many other non-repeating and non-terminating decimals.
Now, let's focus on 67%. The symbol "%" represents a percent, which is a way to express a proportion or a part of a whole, where 100% represents the whole.
To convert a percent to a fraction, we divide it by 100. So, 67% can be written as 67/100.
Since both 67 and 100 are integers and 100 is not zero, we can conclude that 67% is a rational number because it can be expressed as a fraction.
Therefore, 67% is a rational number.