A rational number can be written in a ratio of two integers PDF

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A rational number can be written in a ratio of two integers, or in others words the result of dividing one number by another resulting in a simple fraction. These fractions always consist of a denominator that is not zero. What I found compelling is that while a simple fraction is easy to write as two whole numbers such as 4/5 or 1/3 that rational numbers can also be concluded from a variant of equations such as √9 which is 3 can be written as 3/1 or furthermore that repeating decimals are also considered rational numbers. To further emphasize this, decimal number such as .73 are still considered rational numbers because written in fraction form the 7 is in the tenths place and the 3 is in the hundreds place so the fraction could be written as 73/100. Unlike rational numbers, however, irrational numbers cannot be expressed as a fraction where the denominator is zero. For example, while the square root of 9 is 3 and thus can be expressed as 3/1, you cannot simply the square root of 5. One of the most popular irrational numbers for reference would be pi which we know as 3.14. Irrational numbers cannot at any point contain a numerator and denominator that are both integers and thus cannot be written as a simple fraction. Rational numbers can be used to compare and resolve real-world equations and can be used to solve equations with both positive and negative numbers. I can see the value in these fractions in the real world especially in architecture or any careers that requires precise mathematical measurements or ratios. Unlike that of rational numbers, irrational numbers are not found on a number line, which leads me to wonder what purpose do they serve? In the “real world” they really do not hold much value. Which brings about a bit of confusion in regard to their use or value....