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It should be me. The negative positive was first seen in 1994 Hua Luogeng Mathematics Newspaper, and that report was written by my middle school teacher based on the findings in my first year of junior high school classroom after the article was published by a newspaper reporter after the interview, I forgot the author of the report, but the teachers and students reported in it were a teacher and his students in a middle school in Jiangsu. You can go to the China Periodicals Network to check it.
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Definitely Chinese, because only Chinese speak Chinese!!
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Actually, no one said that! It's a kind of reasoning! Everyone admits it!
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The first to say this should be the Chinese.
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This question, funny, it's not me anyway.
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The popular explanation of negative and positive is that the number obtained by multiplying two negative numbers is a positive number.
In mathematics, negative negative is positive means that the number that comes from multiplying two negative numbers is positive. The rule of multiplication operation "negative negative is positive" is only a prescript, and the law of operation of numbers is originally prescribed, not derived. Specify the algorithm first, and then study whether the algorithm is true.
Negative negative is positive:
Negative negative positive means that the product of two negative numbers multiplied is positive. Multiplying two numbers, if you replace a factor with its opposite, the resulting product is the opposite of the original product. Multiply the two numbers, the same sign is positive, the different sign is negative, and the absolute value is multiplied.
Any number multiplied by zero gives zero.
Multiply several numbers that are not equal to zero, and the sign of the product is determined by the number of negative factors, and when there is an odd number of negative factors, the product is negative. When there is an even number of negative factors, the product is positive.
In the range of rational numbers, with the help of the nature of negative numbers, the multiplication of rational numbers can be discussed by converting to non-negative multiplication, and the process is not complicated. For the sake of convenience, we use a,6 for any two positive rational numbers, and a, b for any two negative rational numbers.
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Negative number. Positive gets positive, positive negative gets negative, negative negative gets positive.
Negative numbers are a mathematical term, numbers smaller than 0 are called negative numbers, and negative numbers and positive numbers represent quantities with opposite meanings. Negative numbers are marked with a minus sign" and a positive number, such as 2, which represents the opposite of 2. As a result, any positive number preceded by a negative sign becomes a negative number.
A negative number is the opposite of its absolute value. On the number axis, negative numbers are on the left side of 0, and the earliest record of negative numbers is the ancient mathematical work "Nine Chapters of Arithmetic" in China. It is specified in the calculation"Positive is red, negative is black", that is, the red arithmetic chip is used to represent a positive number, and the black number is a negative number.
The two negative numbers are compared to the size, and the absolute value is larger than the smaller.
A positive number is a mathematical term, and a number larger than 0 is called a positive number, and 0 itself is not a positive number. Positive numbers and negative numbers represent quantities with opposite meanings. Positive numbers are often preceded by a symbol "+" which can usually be omitted, and negative numbers are marked with a minus sign (equivalent to a minus sign)" and a positive number, such as 2, which represents the opposite of 2.
On the number axis, the positive numbers are on the right side of 0, and the earliest record of positive numbers is the ancient mathematical work "Nine Chapters of Arithmetic" in China. It is specified in the calculation"Positive is red, negative is black", that is, the red arithmetic chip is used to represent a positive number, and the black number is a negative number. The two negative numbers are compared to the size, and the absolute value is larger than the smaller.
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Positive and negative get negative: a positive number and a negative number are multiplied, the negative sign will not be canceled out, and the resulting number is negative, such as 3 (-2) = -6. And positive is positive: two positive numbers are multiplied, and the resulting number is positive due to the absence of the influence of negative signs.
A positive number is a mathematical term, a number larger than 0 is called a positive number, and 0 itself is not a positive number. Positive numbers and negative numbers represent quantities with opposite meanings. Positive numbers are often preceded by a symbol "+" that can usually be omitted, and negative numbers are marked with a negative sign "-" and a positive number.
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Reasons why multiplication is negative and negative is positive:
1. American mathematics historian and mathematics educator M. Klein solved the problem of "two negative numbers multiplying positively" through the debt model
One person owes $5 per day and $15 after 3 days on a given date ($0). If a $5 house is recorded as -5, then "$5 a day in debt for 3 days" can be expressed mathematically: 3 (-5) = -15.
If the same person owes $5 a day, then 3 days ago on the given date ($0), his property is $15 more than the property on the given date. If we use -3 for 3 days ago and -5 for each day of debt, then 3 days ago his financial situation is expressed as (-3) (5) = 15.
2. Opposite number model:
Therefore, if you replace a factor with its opposite, the resulting product is the opposite of the original product, so (-5) (3) = 15.
3. The famous Soviet mathematician Gelfand gave another explanation:
3 5 = 15: Get $5 3 times, that is, get $15.
3 (5) = 15: Pay a $5 penalty 3 times, i.e. pay a $15 penalty.
3) 5 = 15: Didn't get $5 3 times, i.e. didn't get $15.
3) (5) = +15: $15 for 3 unpaid $5 fines.
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It was given by the mathematician Zhu Shijie at the end of the 13th century. In "The Enlightenment of Arithmetic" (1299), Zhu Shijie proposed: "Ming multiplication and division, multiplication with the same name is positive, and multiplication with different names is negative".
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Why "negative negative gets positive"?Maybe you didn't think about it at all, maybe your explanation was "the textbook says so".For those of you who can't satisfy your curiosity and desire for knowledge, please learn about the history of the development of "negative and positive".
As we all know, the concept of negative numbers first appeared in China, and the rules of addition and subtraction of positive and negative numbers were given in the chapter of equations in the "Nine Chapters of Arithmetic", while the positive of negative and negative numbers was not given by the mathematician Zhu Shijie until the end of the 13th century. In "The Enlightenment of Arithmetic" (1299), Zhu Shijie proposed: "Ming multiplication and division, multiplication with the same name is positive, and multiplication with different names is negative".
The following is an introduction method to help students understand.
They will be impressed by strong concepts, such as good and bad, good and evil, etc. The following model should give students a more intuitive feeling.
Story model. Good people (positive) or bad people (negative) go into the city (positive) or out of the city (negative) good (positive). With bad (negative), if good people (+) go into town (+) it is good for town (+) so (+) = +: if good people (+).
Going out of town (-) is bad for town (-) if bad guy (-) goes into town (+) is bad for town (-) i.e. (-) = - so if bad guy (-) goes out of town (-) is good for town (+) so (-) = +
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Because two minus signs just form a plus sign.
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The meaning of multiplication is how many times an event is repeated, 2 numbers are multiplied, a number has units, a number has no unit table times, the positive and negative meanings of 2 numbers are both gain and loss, because losing and losing is equal to gaining, so negative and negative are positive.
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Now I'm going to prove it with mathematical regularity:
Because: -3) x 3 = -9
3)x 2 = -6
3)x 1 = -3
3)x 0 = 0
so :-3)x (-1) = 3
3)x (-2) = 6
3)x (-3) = 9
This is the law of nature!
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A double negative equals an affirmation.
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The pendulum will swing. Negation.
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Oh, that's what the mathematical notation says: Negative and negative are exactly what they are: Negative numbers represent the opposite of positive numbers, and negative numbers represent the opposite of positive numbers, so it is positive, that is, negative negative is positive.
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The book "Number Method" explains that there are two reasons why negative and negative are positive:
The negative number of 1 negative numbers is a positive number. That is, the reverse of the Dharma is the correct Fa.
2 The opposite direction of the opposite direction is the positive direction. That is, multiply by a negative number to be a positive number corresponding to a continuous decrease.
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Negative is subtraction, which is exactly addition. 1-(-1)=?At this time, we can remove the parentheses, the parentheses are preceded by the minus sign, and the parentheses are removed to change the sign.
It becomes 1-+1=? Subtraction is negative, plus is positive. One negative and one positive are gone, and it becomes two 1s, and two 1s are 2s.
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This problem cannot be directly proved, so I will give you my opinion here: t=s v stipulates that one direction is a positive direction, the velocity in the positive direction is positive velocity, and the distance is positive displacement Such that two objects in the same straight line are completely opposite in the opposite direction, and the two directions are opposite The positive direction is t=s v The negative direction is t=-s -v, so we get a negative number, and the negative number is an integer, so there is a=-b -c a x -c=-b Now find -a x -c=b? If -a x -c=-b is contrary to the known a x -c=-b, so -a x -c=b is negative and negative is positive.
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If the distributive and commutative laws are satisfied, then there must be.
Therefore. And for any negative number m = a and n = b, a, b is a positive number, there is.
m*n = (a) *b)
1) *a * 1) *b
1) *1) *a *b
1 * a * b
a*bBecause both a and b are positive, m*n must be positive.
Thus "negative negative is positive".
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For example, when you buy something, you pay once and pay again, isn't it the seller who owes money?
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Why is it that there is a positive and negative replication and blood in the abdomen, and it is proved to be positive, and it is true to see who can get the certificate?
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The sum of two negative numbers must be a matter of policy, and this is true in mathematics.
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