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 11by George Albert Wentworth - 1898Full view - About this book
| 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... | |
| 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.)... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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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