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Natural Counting Numbers 2 34 1 5 8 9 7 6 10 Natural 1, 2, Whole Natural 1, 2, It might seem like an obvious piece of any numerical system, but the zero is a surprisingly recent development in human history. In fact, this ubiquitous symbol for “nothing” didn’t even find its way to Europe until as late as the 12th century. Click the Web Link Below for more on the History of Zero http://www.history.com/news/ask-history/who-invented-the-zero Whole 0 Natural 1, 2, Whole Integers 0 Natural 1, 2, -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 Whole Integers 1, 2, 0 Natural 1, 2, Rational Whole Integers 1, 2, 0 Natural 1, 2, Integer Integer Does it include all the Integer Integer 1 3 3 3 4 4 1 8 1 5 5 Does it include all the Integer Integer 1 3 3 3 4 4 1 8 1 5 5 Did we get all the 5 5 1 6 6 1 Did we get all the 5 5 1 6 6 1 How About 5 .5 10 7385 7.385 1000 15 1.5 10 1375 0.1375 10,000 Did we get the 5 .5 10 7385 7.385 1000 15 1.5 10 1375 0.1375 10,000 Did we get all the 1 .3 3 8 .216 37 7 .7 9 Did we get all the 1 .3 3 8 .216 37 7 .7 9 Rational 3 5 1 53 0.5 Whole Integers 1, 2, 1.572568 0 Natural 1, 2, .3 .135 Rational Irrational Whole Integers Natural -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 1.414213 -1 0 1 2 3 4 1.414214 2 5 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 7 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 19 -5 7 -4 -3 2 -2 -1 7 2 0 1 2 3 19 4 5 CANNOT BE WRITTEN AS FRACTIONS 19 -5 7 -4 -3 2 -2 -1 7 2 0 1 2 3 19 4 5 NUMBERS WITH RADICALS THAT CANNOT BE SIMPLIFIED ANY FURTHER 19 -5 7 -4 3 -3 2 -2 5 -1 7 2 0 6 1 2 3 7 19 4 5 2 8 Can you think of any more? Non-Terminating Decimals that do not Repeat a Pattern 0.10100100010000100000... Non-Terminating Decimals that do not Repeat a Pattern 0.10100100010000100000... 0.1000100010001000... 0.1000 Non-Terminating Decimals that do not Repeat a Pattern 0.10100100010000100000... 0.1000100010001000... 0.1000 Non-Terminating Decimals that do not Repeat a Pattern 3.141592654... Non-Terminating Decimals that do not Repeat a Pattern 2.7182818284590452353602875... e Rational Irrational Whole Integers 7 2 19 Natural 0.010010001... e Rational Irrational Whole Integers Natural REAL NUMBER SYSTEM Rational Irrational Whole Integers Natural REAL NUMBER SYSTEM REAL NUMBER SYSTEM Rational Irrational Whole Integers Natural REAL NUMBER SYSTEM i 3i 5 3i REAL NUMBER SYSTEM Rational Irrational Whole Integers Natural REAL NUMBER SYSTEM Imaginary Numbers COMPLEX NUMBER SYSTEM REAL NUMBER SYSTEM Rational Irrational Whole Integers Natural REAL NUMBER SYSTEM Imaginary Numbers COMPLEX NUMBER SYSTEM