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Positive Numbers and the Number Line. Unit 1 – Classifying Numbers. Vocabulary. Natural Numbers – The set of counting numbers { 1, 2, 3, 4…} Whole Numbers – The set of counting numbers and zero { 0, 1, 2, 3…}
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Vocabulary Natural Numbers – The set of counting numbers {1, 2, 3, 4…} Whole Numbers – The set of counting numbers and zero {0, 1, 2, 3…} Integers – The set of whole numbers and their opposites {…-2, -1, 0, 1, 2…} Rational Numbers – The set of integers and all fractions, terminating decimals and repeating decimals Irrational Numbers – The set of numbers that can not be expressed as a fraction. This includes all non-repeating decimals. Real Numbers – The set of numbers that includes all rational and irrational numbers.
Golden Ratio (symbol is the Greek letter "phi”) is a special number that appears many times in geometry, art & architecture. The first few digits are: 1.618033988749894 Euler’s Number e e is the base of the Natural Logarithms (which you won’t deal with until HS). The first few digits are: 2.71828182845904523 Famous Irrational Numbers Pi is the circumference of a circle divided by its diameter and is used in circle calculations. The first few digits are: 3.1415926535897
Guided PracticeClassifying Numbers: For each number, write: real, irrational, rational, integer, whole and/or natural. LIST ALL WORDS THAT APPLY. • 7 • 6.523 • 12½ • -1,436 • 0 natural, whole, integer, rational & real rational & real rational & real integer, rational & real whole, integer, rational & real
Guided PracticeClassifying Numbers: For each number, write: real, irrational, rational, integer, whole and/or natural. LIST ALL WORDS THAT APPLY. • -9.432 • -6¼ • π • 124,985 • -147 rational & real rational & real irrational & real natural, whole, integer, rational & real integer, rational & real