Rational Numbers

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to 0. The set of all rational numbers is denoted by the symbol Q.

Properties of Rational Numbers

• Rational numbers can be written as a fraction in the form p/q, where p and q are integers and q is not equal to 0.
• Rational numbers can be positive, negative, or zero.
• Rational numbers can be represented on a number line.
• Rational numbers can be added, subtracted, multiplied, and divided.
• Rational numbers can be written in decimal form, where the decimal either terminates or repeats.

Examples of Rational Numbers

Here are some examples of rational numbers:

• 1/2
• -3/4
• 5
• 0
• 0.75 (which is equivalent to 3/4)

Study Guide

Here are some key points to remember when studying rational numbers:

1. Understand the definition of rational numbers and how they can be expressed as fractions.
2. Practice converting between fractions and decimals.
3. Learn how to perform operations (addition, subtraction, multiplication, division) with rational numbers.
4. Understand the concept of the least common denominator when adding or subtracting rational numbers.
5. Practice representing rational numbers on a number line.

Remember to always simplify fractions and to be familiar with the properties of rational numbers when solving problems.