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Transcript
REAL NUMBERS (as opposed to fake numbers?) Two Kinds of Real Numbers • Rational Numbers • Irrational Numbers Rational Numbers • A rational number is a real number that can be written as a ratio of two integers. • A rational number written in decimal form is terminating or repeating. Examples of Rational Numbers •16 •1/2 •3.56 •-8 •1.3333… •- 3/4 Irrational Numbers • An irrational number is a number that cannot be written as a ratio of two integers. • Irrational numbers written as decimals are non-terminating and non-repeating. Examples of Irrational Numbers • Square roots of non-perfect “squares” 17 • Pi Whole Numbers • Whole numbers are counting numbers and zero For example: 0,1,2,3,4,5,6,7,8,9,10… Integers One of the subsets of rational numbers What are integers? • Integers are the whole numbers and their opposites. • Examples of integers are 6 -12 0 186 -934 • Whole numbers and Integers are rational numbers because they can be written as fraction with 1 as the denominator. Irrational Numbers Rational numbers are NOT irrational numbers. The best way to learn about irrational numbers is to get familiar with some of them. (Sorting Activity)