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Real Number System Homework on Approximating Square Roots Real Number System… • Real Numbers are made up of 5 different sets of numbers: – – – – – Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Natural Numbers 1 , 2, 3 ….. Counting Numbers Whole Numbers 0, 1 , 2, 3 ….. Natural Numbers + Zero Integers -3, -2, -1, 0, 1, 2, 3….. Natural Numbers + Their Opposites + Zero Rational Numbers , 0 , -1 , 2, 9, ANY number than can be rewritten as a fraction of integers Irrational Numbers -1.010010001, π , ANY number than can NOT be rewritten as a fraction of integers What category/categories would the following numbers belong in? Integer, rational -1 Rational Irrational 0 -7.34 Whole, integer, rational Rational Natural, Whole, Integer, Rational π Irrational Try to label the correct number systems on your diagram: Hint: Which system is NOT like any of the others? Which system has the most limitations? Natural, Whole, Integers, Rational, and Irrational How many did you correctly label? Now place the following numbers into the correct number system on the diagram: