What are the simplifications of multiple symbols? What is the law of multiple symbolic simplificatio

Multiple symbolic simplification method: a number is preceded by an even number of - signs, and the result is positive. A number is preceded by an odd number of - signs, and the result is negative. Regardless of how many - signs there are in front of 0, the result is 0. Opposite numbers are related to the origin on the number line: symmetry with respect to the origin.

A positive sign in front of it is equivalent to multiplying by one (+1), and having a negative sign is equivalent to multiplying by (-1). Removing the "+" sign remains unchanged, and removing the "-" becomes the opposite number. For example, +(2)=-2, -(3)=+3

The simplification of multiple symbols has the principle of "positive and positive, positive and negative and negative, and negative and negative".

1. If there is an even number of "" signs in front of a number, the result is positive.

2. A number is preceded by an odd number of "" signs, and the result is negative.

No matter how many "" signs there are in front of it, the result is 0.

"Positive and negative techniques" is the law of addition and subtraction of positive and negative techniques. One of the passages reads, "The same name is divided, different names are beneficial, positive is not negative, negative is not positive." In fact, he is the law of addition and subtraction, and taking modern arithmetic as an example, this passage can be explained as follows:

1. "Divide by the same name", that is, when two numbers of the same number are subtracted, the symbol of the subtracted number is preceded by the parentheses, and the absolute value of the subtracted number is in parentheses.

Subtract the absolute value of the subtraction. For example:

2. "Different names and mutual benefits", that is, when the two numbers of different numbers are subtracted, the symbol of the subtracted number is preceded by the parentheses, and the absolute value of the subtracted number is added to the absolute value of the subtraction in parentheses. For example:

3. "Positive is not negative, negative is not positive", that is, 0 minus positive is negative, and 0 minus negative is positive. For example:

A number is preceded by an even number of "" signs, and the result is positive.

A number is preceded by an odd number of - signs, and the result is negative.

Regardless of how many - signs there are in front of 0, the result is 0.

Rule: Positive gets positive, positive negative gets negative, negative negative gets positive.

Expansion: Symbols, in a cognitive system, symbols refer to images of a certain meaning, which can be graphic images, text combinations, sound signals, architectural shapes, or even a kind of ideology and culture, or a current affairs figure. On the one hand, it is the carrier of meaning, the presentation of spiritual externalization; On the other hand, it has an objective form that can be perceived.

In symbols, there are both sensory materials and spiritual meanings, and the two are inseparable and unified.

How to simplify multiple symbols, remember the mantra: count the number of negative signs, odd negative and even positive.

Negative negative is positive, positive positive is positive, if the second sign is an odd number, it is a negative sign, if the second sign is an even number, it is a positive number.

The simplification of multiple symbols has the principle of "positive and positive, positive and negative and negative, and negative and negative". From this sentence, it can be concluded that multiple symbolic simplification has nothing to do with "+", but the number of "-" signs determines whether the final result is positive or negative, and when there is an odd number of "-", the final result is "-", when there is an even number of "-", the final result is "+".

For example: -[3)]=3 There are 3 (odd) "-" in the formula, and the result is "-".

3)]=3 There are 4 (even) "-" in the formula, and the result is "+".

Therefore, the law of multiple symbolic simplification only remembers four words: "odd negative and even positive".

When a positive number is preceded by an even number of "-", it can be reduced to a positive number. When a positive number is preceded by an odd number of "-" signs, it can be reduced to a negative number of the number.

Opposite number is a mathematical term that refers to two numbers with equal absolute values and opposite signs. The property of opposite numbers is that their absolute values are the same. For example:

2 and +2 are inverses to each other. The letters indicate that a and -a are the inverse of each other, and the opposite of 0 is 0. Here a is any number, which can be positive, negative, or 0.

Opposite number characteristic: if it is the opposite of each other, then a+b=0, and if it is a+b=0, then a and b are opposite to each other. The opposite of zero is 0.

Opposite numbers occur in pairs and cannot occur individually. To put it""Opposite number" is distinguished from "quantity of opposite sense".""Opposite number" is not only the sign of the number, but also the number after the sign must be the same.

The method of simplifying multiple symbols in Grade 7 is as follows:

1. If there is an even number of "" signs in front of a number, the result is positive.

2. A number is preceded by an odd number of "" signs, and the result is negative.

3. No matter how many "" signs there are in front of 0, the result is 0.

Any number has opposites, and there is only one, the opposite of a positive number is a negative number, the opposite number of a negative number is a positive number, and the opposite number of 0 is 0 The two numbers that are opposite to each other must appear in pairs and cannot exist separately, and they differ only in sign.

When finding the opposite of a number, you only need to change the symbol in front of the number, and the other parts remain unchanged, and when you find the opposite of a letter or formula, you only need to change the symbol in front of the letter or formula, and the other parts remain unchanged.