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Rational and Irrational Numbers

Learn about rational and irrational numbers, including decimals, non-perfect squares, and how they never terminate or repeat. Discover the characteristics of rational numbers, decimals, fractions, and natural counting numbers. Dive into the world of real numbers and differentiate between rational and irrational numbers.

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Rational and Irrational Numbers

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  1. Rational and Irrational Numbers

  2. Real Numbers Irrational Numbers Rational Numbers

  3. Irrational Numbers Decimals Non-Perfect Squares

  4. Irrational Numbers Decimals • Never Terminates • Never Repeats • Goes on Forever • 0.4567… • -2.8191… • -0.3322… • 5.2468…

  5. Irrational Numbers Non-Perfect Squares • No whole number times itself equals what’s under the radical (use DAD)

  6. Irrational Numbers • Estimated to be 3.14 • Actually equals 3.141592… • Never terminates, Never repeats, Never ends

  7. Rational Numbers Decimals Fractions Perfect squares & cubes…Roots Decimals – stop or repeat ALL Fractions (cannot have ZERO in the denominator)

  8. Rational Numbers Fractions • ALL fractions Improper Mixed Numbers Simplified

  9. Rational Numbers Natural/Counting Numbers (N) (1,2,3,4…) Whole Numbers (W) N + 0 (0,1,2,3,4…) Integers (Z) W + opposites (…-3,-2,-1,0,1,2,3,…)

  10. Rational Numbers Decimals Terminates Repeats • STOPS • Same number goes on forever 3.14 -2.8 0.213

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