01:640:151 Chapter Notes - Chapter 1: Pythagorean Theorem, Repeating Decimal, Precalculus

• School: Rutgers University
• Department: Mathematics
• Course: 01:640:151
• Professor: All

Document Summary

A real number is a number represented by a decimal or "decimal expansion" An integer is a number that has no value beyond the decimal point. A whole number is any non-negative integer. A rational number is a number that can be represented by a fraction (p/q), where p and q are integers with q 0. An irrational number is any number that is not a rational number. Properties of rational and irrational numbers: rational numbers have finite or repeating decimal expansions. Real numbers on a number line or graph are referred to as points while the number 0 is called the origin of the number line. The absolute value of a number is its net distance from another point: |a| = |-a| |ab| = |a| |b| The distance between two points a and b is |b-a|, which is the length of the segment between the two numbers. The triangle inequality states that: |a + b| |a| + |b|