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.

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 (-∞, ∞)

What 6 concepts are covered in the Rational Numbers Calculator?

natural number

the positive integers (whole numbers) 1, 2, 3, ...

number

an 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.

property

an attribute, quality, or characteristic of something

rational number

a number that can be expressed as the quotient or fraction p/q of two integers

rational numbers

whole number

numbers that include natural numbers and zero {0, 1, 2, 3, ...}