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Exploring Number Sets: Real, Imaginary, Rational, and Irrational Numbers Through History

This comprehensive guide delves into the world of number sets, focusing on real, imaginary, rational, and irrational numbers. Discover how these concepts evolved over time, starting from ancient civilizations like the Babylonians and Egyptians, to the mathematical achievements of Greek thinkers such as Euclid and Archimedes. Learn how numbers relate to history with a timeline showcasing significant milestones in mathematics. This resource will enhance your understanding of number classification and provide practical exercises for mastery. Embrace the journey through time!

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Exploring Number Sets: Real, Imaginary, Rational, and Irrational Numbers Through History

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Presentation Transcript

  1. Algebra 1-A A Journey through time

  2. Number Sets A number that when squared gives a positive number • Real numbers • Imaginary numbers • Rational numbers • Irrational numbers A number that when squared gives a negative number A number that can be made by dividing two integers A number that has a decimal that goes on forever without repeating

  3. Rational Numbers • Fractions/Decimals • Integers • Zero • Natural Numbers

  4. Number Sets

  5. Time line • 1800 BC – Babylonians show knowledge of Pythagorean squares (found a list of them on a clay tablet) • 1700 BC – Stonehenge was built (Richardson W. H., p. 1) • 1650 BC– Egyptians demonstrate knowledge of math operations (plus) and word problems • 1600 BC – Babylonian tablets found that show signs of basic algebra (one equation 2a+3=7), fractions, quadratic and cubic equations, and square roots

  6. Time line • 1300 BC – Egyptians play a version of tic tack toe similar to the game today. • 776 BC – The first Olympic Games were held in Greece • 360 BC – Geometer uses inequality in a geometric proof of exhaustion • 300 BC – Euclid wrote his book on geometry, The Elements • 250 BC – Archimedes makes pi (22/7) and formulas for finding area of shapes

  7. Why use math?

  8. identify 3.3 0

  9. Practice more!  • Just work on 1-4 for now

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