Rational Numbers ·

02 Jun 2024, 00:00

Rational Numbers Definition:

A number that can be expressed as
a fraction p/q of two Integers,
a numerator p
and a non-zero denominator q.

Rational Numbers Notation

We write Rational Numbers as ℚ
Rational Numbers extend from but do not include (-∞, ∞)

What do Rational Numbers Include?

Natural (Counting) Numbers (ℕ) (1, 2, 3, 4, ...).
Since every natural number
can be written as itself divided by 1
Whole Numbers (0, 1, 2, 3, 4, ...)
Since every whole number can be written as itself divided by 1
Negative Counting Numbers (..., -4, -3, -2, -1)
Since every negative counting number
can be written as itself divided by 1
Fractions (3/5, -4/7)
Decimals (2.4, -8.1)

What do Rational Numbers NOT Include?

Positive Infinity ∞
Negative Infinity -∞
Imaginary Numbers like i = √-1

Properties of Rational Numbers

Positive Rational Numbers are
to the right of 0 on a number line
Negative Rational Numbers are
to the left of 0 on a number line
As we move right on the number line,
Rational Numbers increase in value
As we move left on the number line,
Rational Numbers decrease in value
Extend infinitely (but do not include infinity)
Any non-zero Rational Numbers is either negative or positive.

Properties of Rational Numbers:

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Rational Numbers Calculator:

Rational Number Calculator

How does the Rational Numbers Calculator work?

Free Rational Numbers Calculator - This lesson walks you through what rational numbers are, how to write rational numbers, rational number notation, and what‘s included in rational numbers

What 3 formulas are used for the Rational Numbers Calculator?

Rational Numbers are written in the form p/q where q is non zero
We represent the set of Rational Numbers as ℚ
Rational Numbers extend from but do not include (-∞, ∞)

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Rational Numbers Calculator?

natural numberthe positive integers (whole numbers)
1, 2, 3, ...numberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.propertyan attribute, quality, or characteristic of somethingrational numbera number that can be expressed as the quotient or fraction p/q of two integersrational numberswhole numbernumbers that include natural numbers and zero
{0, 1, 2, 3, ...}

Rational Numbers

How does the Rational Numbers Calculator work? Free Rational Numbers Calculator - This lesson walks you through what rational numbers are, how to write rational numbers, rational number notation, and whats included in rational numbers