Presentation on theme: "Real Numbers Real Numbers are all numbers that can be located on Real Number line. This includes all whole numbers, all fractions, all decimals, all roots,"— Presentation transcript:
1 Real NumbersReal Numbers are all numbers that can be located on Real Number line.This includes all whole numbers, all fractions, all decimals, all roots, etc.
2 Types of Real Numbers There are two types of Real Numbers 1) Rational Numbers2) Irrational Numbers
3 Rational NumberA Rational Number is any number that can be written as a RATIO (fraction) between 2 integersExamples of Rational Numbers:The decimal of a Rational Number is either terminating or repeating.
4 Irrational NumberA number that cannot be written as a ratio between 2 integers is called an irrational numberExamples if Irrational Numbers :The decimal of an irrational number is non-terminating and non-repeating
5 Radicand – The number or expression that is under the radical sign In the expressionthe 2 is called the radicand
6 Example 1 : Use the calculator to find the decimal equivalent of each radical expression. Is the radical a rational or irrational number? Round your final answer to the 100ths place value2.245.579IrrationalIrrationalRational
7 You can never take the square root of a negative number. Why ?Answer: because there is no number, that when squared will give you a negative
8 Rules For Simplifying Radicals Method 1:Steps Find the factor tree for the radicand 2) Pull any pairs out of the radical and leave non pairs under the radical 3) Multiply pairs and non pairs
9 Rules For Simplifying Radicals Method 2:Steps Find the largest perfect square that goes into the radicand 2) Write the radicand as a product of the perfect square and a number\ 3) Pull the perfect square out of the radical
10 Examples : Use the rules of simplifying radicals to simplify each expression
11 Examples : Use the rules of simplifying radicals to simplify each expression