Transcript Document
Understanding Numbers Alex Smart Goody Twoshus S'Marty Pants Numbers fall into two categories Real Numbers Imaginary Rational numbers The letter "i" represents imaginary numbers Natural numbers Whole numbers Integers Irrational numbers square roots of negative numbers even roots of negative numbers Real Numbers are made of two types of numbers Rational Numbers Irrational Numbers can be expressed as a fraction Cannot be expressed as a fraction Can be non-terminating Non-terminating, nonrepeating decimal Does repeat decimal numbers Examples of rational and irrational numbers Rational 1/2 1/3 Irrational numbers 1/2345 4 The most famous is pi perfect square roots Any non-perfect square root perfect cube roots Any non-perfect any root perfect any roots Natural numbers What is taught the first time you count? 1, 2, 3, 4, 5, 6... Also referred to as counting numbers Start at 1 and go to forever or infinity.... Whole Numbers Whole numbers are natural numbers and zero.... Zero (0) looks like a hole.....(w)hole numbers.... Whole numbers depict quantities in wholes....no wholes (0) or many wholes....(1, 2, 3, 4...) Integers You have 3 whole loaves of breads..... What happens if you destroy 5 whole loaves of breads of your neighbor? You give your 3 and now you owe 2 to your neighbor Integer numbers are used to show what you owe Instead of owing 2 loaves, you have -2 loaves..... Integers are mirror images of whole numbers....like opposites Rational Numbers What about if you have 3 loaves and the fourth loaf is split with your brother? You have more than 3 and less than 4 you have 3 and a half..... The 3 and a half is a rational number..... Rational numbers are natural numbers, whole numbers, integers and the parts between those numbers Represented by deciamals and fractions Decimals that repeat are rational also Irrational Numbers AKA crazy numbers....hence irrational number These numbers cannot be written as a fraction...the decimal number goes on forever, never repeating itself