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# Why Does "Q" Represent Rational Numbers?

"Q" represents rational numbers because all rational numbers are a quotient. This means that each rational number can be expressed by a fraction with a denominator other than zero and a numerator that is a whole number. Whole numbers, fractions and decimals are all rational numbers.

Continue ReadingThe Italian mathematician, Giuseppe Peano was the first person to use "Q" to refer to the set of rational numbers. He selected "Q" because it was the first letter of the Italian word for quotient, "quoziente." This represented that each member of the rational number set was a quotient. Some other ways to express a quotient include as the answer to a division problem or as a ratio. In typeface or electronic media, the "Q" for the set of rational numbers is commonly displayed in boldface.

Rational numbers are a subset of the set of real numbers, which also includes irrational numbers. When rational numbers are displayed as decimals, they either terminate or form an infinite repeating pattern. When irrational numbers are displayed as decimals, they go on forever without forming a repeating pattern. Rational numbers are countable, but irrational numbers aren't countable. There are more irrational numbers in the set of real numbers than there are rational numbers.

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Q:
## Are All Integers Rational Numbers?

A: All integers are rational numbers. A rational number is in the form a/b, where "a" and "b" are integers, and "b" is not equal to zero. Integers are a subse... Full Answer >Filed Under: -
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## How Do You Place Rational Numbers in Order From Least to Greatest on a Number Line?

A: Rational numbers are any numbers that can be expressed by a fraction with integers in both the numerator and the denominator. The amount of time and paper ... Full Answer >Filed Under: -
Q:
## Is Pi Rational?

A: Pi is not a rational number. It is considered irrational. A rational number is able to be written as a fraction with integers for both the numerator and de... Full Answer >Filed Under: -
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## What Is a Negative Rational Number?

A: A negative rational number is a rational number less than zero. This is illustrated on a simple number line on which all numbers to the right of zero are p... Full Answer >Filed Under: