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There are two meanings of multiplication: 3 5 means 5 3s added, and 5x3 means 3 5s added. In what multiplication represents, the factor after the multiplication sign is often used as a multiple of the factor before the multiplication; Multiplication is not a simple notation of addition.
Two meanings of multiplication.
What is Multiplication.
Multiplication refers to a shortcut to add up the same numbers. The result is called the product, and "x" is the multiplier sign. From a philosophical point of view, multiplication is the result of a qualitative change caused by the quantitative change of addition.
The multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers is defined by the systematic generalization of this basic definition.
The meaning of multiplication.
1) 3 5 means 5 3s are added; 5x3 means the addition of 3 5s.
Note: In what multiplication is represented above, the factor after the multiplication sign is often used as a multiple of the factor before the multiplication.
2) The new meaning of multiplication: Multiplication is not a simple notation of addition.
Principles of multiplication. If the dependent variable f is ,.... with the independent variables x1, x2, x3There is a direct proportional relationship between xn and each independent variable is qualitatively different, and the dependent variable f loses its meaning without any independent variable, then it is multiplication.
In probability theory, an event needs to be divided into n steps, the first step includes m1 different results, and the second step includes m2 different results,......The nth step consists of mn different results. Then this event may occur n=m1 m2 m3 ......mn different results.
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The meaning of multiplication: a simple operation to find the sum of several identical additions.
1) Multiply decimal numbers by integers: The same meaning as integer multiplication, which is a simple operation to find the sum of several identical additions. For example, what is 6 times the sum of 6 sums or 6.
2) The meaning of multiplying a number by a decimal number: Unlike the meaning of integer multiplication, it is a further extension of the meaning of integer multiplication. It can be understood as finding the number of tenths, hundredths, thousandths of the number, ......How much.
For example: What is 6 out of 10 of the representation, What is 98 percent of the representation.
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Integer multiplication meaning: a simple operation to find the sum of several identical additions.
The meaning of multiplying a number by a decimal place: it is to find the number of tenths, hundredths, thousandths of the ......How much.
The meaning of multiplying a number by a fraction is to find out what fractions of the number are.
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Multiplication is multiplication.
8 5 means 5 times 8, that is, the sum of 5 8s.
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It can represent both 4 5s and 5 4s. In the old version of the textbook, there was only one interpretation of 5*4, that is, 4 5s, but now in the layout of the new curriculum, both interpretations can be used, that is, it can represent both 4 5s and 5 4s.
In 2000, the definition of multiplication was revised in the Primary Mathematics Syllabus (Trial Revision) to no longer divide multipliers and multipliers, and 5 4 can either show 4 5 consecutive plus chains stupidly, or 5 4 consecutive additions. This is also the case with the later mathematics curriculum standards.
1. Multiplicative commutative law: two numbers are multiplied, and the position of the two factors is exchanged, and the product is unchanged.
Represented by letters: a b = b a
2. Multiplication associative law: multiply three numbers, multiply the first two numbers, or multiply the last two numbers, and the product remains the same.
Represented by letters: (a b) c=a (b c)3, multiplicative distributive law: the sum of two numbers and one number are multiplied, you can first multiply them with this number separately, and then add them.
Represented by letters: (a+b) c=a c+b c
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