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" If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression. "
New School Algebra - Page 11
by George Albert Wentworth - 1898
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Rethinking The Fifth Discipline: Learning Within the Unknowable

Robert L. Flood - Business & Economics - 1999 - 234 pages
...Commutation - if A and B are real numbers, then Association - if A, B, and C are real numbers, then (A + B) + C = A + (B + C), and (A * B) * C = A * (B * C). Substitution - if A = B and A + C = D, then B + C = D; and if A * C = D, then B * C = D. Uniqueness...
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Dictionary of Analysis, Calculus, and Differential Equations

Douglas N. Clark - Mathematics - 1999 - 294 pages
...defined on it, is said to be a field if the following axioms are satisfied. (1 .) The Associative Laws: a + (b + c) = (a + b) + c and a . (b . c) — (a . b) . c for all a, b, ce F. (2.) The Commutative Laws: a + b = b + a and a . b = b . a for all a, be F. (3.)...
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Handbook of Philosophical Logic, Volume 9

Dov M. Gabbay, Franz Guenthner - Philosophy - 2002 - 392 pages
...Every D-formula has the form Gi -> . . . -> Gk -> q, In the systems R, L, BCK, we have the theorems (A ->. B -> C) ->. (A B -> C) and (A B -> C) ->. (A -> B -> C) Thus, in these systems we can simplify the syntax of (non atomic) Dformulas to G -> q rather than G...
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Roadmap to the MCAS Grade 8 Math

Athlene Whyte-Smith, Princeton Review (Firm) - Mathematics - 2003 - 271 pages
...and c, you will get the same result no matter how you group the numbers when adding or multiplying. (a + b) + c = a + (b + c) and (a • b) • c = a • (b • c) (3 + 4) + 8 = 3 + (4 + 8) and (3 • 4) • 8 = 3 • (4 • 8) Commutative property: For any numbers...
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Electrical Engineering License Review

Lincoln D. Jones - Architecture - 2003 - 386 pages
...For every pair of elements a and b in K, Associative Laws For any three elements, a, b, and c in K, a + (b + c) = (a + b) + c and a • (b • c) = (a • b) • c Gates Combinational logic is made up of groups of AND and OR gates, with their many variations. These...
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Electronics, 2nd Edition

David Crecraft, David Gorham - Technology & Engineering - 2003 - 454 pages
...Self-assessment question 12. The commutative law: /I -B = B -A and A +B = B +A. The associative law: A • (B • C) = (A • B) • C and A + (B + C) = (A + B) + C. The distributive law: A • (B + C) =A • B + A • C. When a sum-of-minterms expression is simplified,...
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SAT Test Excellerator in Mathematics

Instructivision, Incorporated - Mathematics - 2005 - 156 pages
...addition and multiplication state that the way numbers are grouped does not affect the sum or product, ie, (a + b) + c = a + (b + c) and (a • b) • c = a • (b • c) for all numbers a, b, and c. • Distributive law of multiplication over addition or subtraction states...
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DIGITAL ELECTRONICS AND LOGIC DESIGN

B. SOMANATHAN NAIR - Technology & Engineering - 2002 - 452 pages
...+ b = b + a and a • b = b • a Rule 6. Associative law: If a, b and c are three variables, then a + (b + c) = (a + b) + c and a • (b • c) = (a • b) • c Rule 7. Distributive law: If a, b and c are three variables, then a(b + c) = ab + ac and a + be = (a...
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Write Great Code, Vol. 1: Understanding the Machine

Randall Hyde - Computers - 2004 - 461 pages
...(A • C) and A + (B • C) = (A + B) • (A + C). • P5: • and + are both associative. That is, (A • B) • C = A • (B • C) and (A + B ) + C = A + (B + C ). • P6: For every value A there exists a value A' such that A • A ' = 0 and A + A ' = 1. This...
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First Steps for Math Olympians: Using the American Mathematics Competitions

J. Douglas Faires - Mathematics - 2006 - 344 pages
...for each triple a, b, and c in S we have Again, addition and multiplication are associative, since (a + b) + c = a + (b + c) and (a • b) • c - a • (b • c), but subtraction is not generally associative because (a — b) — c = a — b — c, whereas a —...
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