2. The formula of multiplicative associative law: (a×b)×c=a×(b×c)
3. Multiplicative commutative law formula: a× b = b× a.
4. The formula of additive associative law: (a+b)+c=a+(b+c)
1, multiplication is a shortcut to add the same numbers. The result of its operation is called product. From the philosophical point of view, multiplication is the result of qualitative change caused by additive quantity.
2. Integer multiplication meets the following requirements: commutative law, associative law, distributive law and elimination law. With the development of mathematics, the object of operation has developed from integer to more general group. Intra-group multiplication is no longer needed to satisfy the commutative law. The most famous noncommutative example is the quaternion group discovered by Hamilton. But the law of association is still satisfied.
3. If a group is equipped with another multiplication, it will develop into a "ring". One of the two multiplications can be regarded as addition in the traditional sense, so it is required to satisfy the distribution law and exchange law; But it's another multiplication that doesn't need a commutative law. In the boxing ring, we no longer demand that the elimination rule be established. If this ring has a law of elimination, it is called an integral ring. But for the ring, there is not necessarily the concept of "points". If a ring is divided, it is called "domain". A field is the closest thing to what we usually call a rational number set. But it contains more information.
Edited on 20 19-08-30.
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What are the formulas of commutative law, associative law, distribution rate, multiplicative commutative law, associative law and distribution rate?
Additive commutative law: It is one of the laws of mathematical calculation. Refers to the addition of two addends, the exchange of addend positions, and the same sum That is, a+b=b+a multiplicative commutative law: it is a simple law. When two numbers are multiplied, the position of the exchange factor remains the same. That is, the law of a*b=b*a addition combination: when three numbers are added, the first two numbers are added first, or the last two numbers are added first, and the sum is unchanged. That is, a+(b+c)=(a+b)+c multiplication rule: multiply three numbers, multiply the first two numbers and then another number, or multiply the last two numbers and then multiply another number, and the product remains unchanged. That is, (a×b)×c=a×(b×c) times the distribution law: it is a simple law. When the sum of two numbers is multiplied by a number, you can multiply it first and then add it to get the same number. That is ab+ac=a*(b+c)
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What are the formulas of commutative law, associative law, distribution rate, multiplicative commutative law, associative law and distribution rate?
Multiplicative distribution law (a+b)×c=a×c+b×c Multiplicative associative law (a×b)×c=a×(b×c) Multiplicative commutative law a×b=b×a Additive associative law (a+b)+c=a+(b+c).
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What are the letter formulas of the commutative law, associative law and distributive rate of addition, commutative law, associative law and distributive rate of multiplication? Thank you ~ ~
The commutative law of addition a+b=b+a associative law (a+b)+c=a+(b+c) Multiplicative commutative law a*b=b*a associative law (a*b)*c=a*(b*c) Distribution rate (a+b)*c=ac+bc Note: Addition is not allowed.
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What are the alphabet formulas of addition, multiplication, association, distribution rate?
The commutative law of addition a+b=b+a associative law (a+b)+c=a+(b+c) Multiplicative commutative law a*b=b*a associative law (a*b)*c=a*(b*c) Distribution rate (a+b)*c=ac+bc Note: Addition is not allowed.
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Formulas and letters of multiplicative commutative law, multiplicative distributive law and multiplicative associative law.
1. Multiplicative commutative law: ab=ba. Note: letters are multiplied by letters, and the multiplication sign can be written without writing. 2. The law of multiplicative association: (ab)c=a(bc). 3. Multiplication distribution law: (a+b)c=ac+bc. Extended data multiplication is one of the basic operations in mathematics. Suppose that A times B equals C, which means ab = c or AB = C. Multiplication principle: If the dependent variable F is directly proportional to the independent variable X 1, X2, X3...Xn, and each independent variable is qualitatively different, if any independent variable F is missing, it will lose its meaning, which is called multiplication. In probability theory, the result of an event needs to be divided into n steps, the first step 1 includes M 1 different results, the second step includes M2 different results, …, and the n step includes Mn different results. Then this event may have n = m 1× m2× m3×…× Mn different results.
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