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Useful Information for Proving in Geometry Essay

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Below is an essay on "Useful Information for Proving in Geometry" from Anti Essays, your source for research papers, essays, and term paper examples.

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  ℝ - Real Numbers


  1. Commutative Property of Addition - The order of the addends does not affect the sum.
          a + b = b + a 2 + 3 = 3 + 2
  2. Commutative Property of Multiplication – The arrangement of factors does not affect the product.
          a ₕ⁢‽⁢ₕॡ㈉锠㌠㴠㌠锠㈠䄍獳捯慩楴敶瀠潲• b = b • a 2 • 3 = 3 • 2
  3. Associative property of Addition - The groupings of the addends does not affect the sum.
          a + ( b + c ) = ( a + b ) + c    2 + ( 3 + 4 ) = ( 2 + 3 ) + 4
  4. Associative Property of Multiplication – The groupings of the factors does not affect the product.
          a   • ( b   • c ) = ( a   •   b ) • c 2 • ( 3 • 4 ) = ( 2 • 3 ) • 4
  5. Additive Identity Property of Addition – Any real number added to zero is the number itself.
          a + 0 =a 2 + 0 = 0
  6. Distributive Property of Multiplication over Addition – Multiplication distributes over addition.
          a • ( b + c ) = a • b + a • c 2 • ( 3 + 4 ) = 2 •  3 + 2 • 4
  7. Multiplicative Identity of Multiplication – The product of 1 and a real number is the number itself.
          a   •  1 = a 3 • 1  = 3

  8. Existence property of Multiplication (Multiplicative Inverse) – When a real number is multiplied ny its reciprocal, the answer is always 1.

          a •   = 1 3 •     = 1

  9. Additive Inverse – If you add an integer and its additive inverse, the answer is always zero.

          a + -a = 0 2 + -2 = 0

  10. Division Property of Zero – Zero divided by any number is zero. Any number divided by zero is undefined (∝).

          = 0 = ∝




      = Equality

  1. Reflexive Property of Equality – A number equals itself.

          a = a 2 = 2

  2. Symmetric Property of Equality– Order of equality does not matter.

          If a = b, then b = a.

  3. Transitive Property of Equality – If the relation holds between a and b, and b and c, then it also exists between a...

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MLA Citation

"Useful Information for Proving in Geometry". Anti Essays. 9 Dec. 2018

<http://parimatch-stavka7.com/free-essays/Useful-Information-For-Proving-In-Geometry-311711.html>

APA Citation

Useful Information for Proving in Geometry. Anti Essays. Retrieved December 9, 2018, from the World Wide Web: http://parimatch-stavka7.com/free-essays/Useful-Information-For-Proving-In-Geometry-311711.html


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