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# Useful Information for Proving in Geometry Essay

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

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...

• Submitted by: jannily
• on September 22, 2012
• Length: 647 words
• Views: 219
• Popularity Rank: 508085
• 1 rating(s)

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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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