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Negative number. Negative
Numbers smaller than zero (<0) are marked with a minus sign (i.e., minus).
Such as -2, ,45 77, -
See also: Nonnegative, Positive, Zero, Minus Sign
Example 1: We learned the natural numbers 1, 2, 3 ,.. in elementary schoolIf there is no object, it is represented by 0, and measurement and calculation sometimes do not give an integer.
As a result, this is expressed as a fraction and a decimal. Have you seen any other kinds of numbers?
Now there are two thermometers, the thermometer liquid level refers to the 6th scale above 0, it indicates the temperature is 6, then the thermometer liquid level refers to the 6th below 0
Scale, how to represent the temperature at this time?
Note: In order to distinguish between the group of quantities with opposite meanings, 6 and 6 are opposite, we have introduced the concept of negative numbers.
Example 2: Let's look at another example, from the topographic map of China, we can see that there is the world's highest peak - Mount Everest, which is marked with 8848;
There is also a Turpan basin, which is marked with -155 on the mapCan you tell what their heights are?
Tip: As you can see on the topographic map of China, both of the above places are marked with the number of their heights, and the number marked on the map indicates the altitude relative to sea level, which is often called the altitude. 8848 means that Mount Everest is 8848 meters above sea level, and -155 means that the Turpan Basin is 155 meters below sea level.
The height of the Turpan Basin is -155 meters above sea level.
NOTE: This example also illustrates that we are introducing negative numbers for practical purposes in order to distinguish between above sea level and below sea level, which they also indicate.
Quantities with the opposite meaning.
Example 3: The altitude of place A is 35 meters, the altitude of place B is 15 meters, and the altitude of place C is -20 meters.
Minimum? How much higher is the highest place than the lowest?
Description: 35 meters means 35 meters above sea level, 15 meters means 15 meters above sea level, -20 meters means 20 meters below sea level, so A is the highest, C is the lowest, and A is 55 meters higher than C.
Example 4: We already know that quantities with opposite meanings can be expressed as positive and negative numbers. For example, minus 5 and minus 6 can be denoted as +5 sum.
6℃;10 m above sea level and 8 m below sea level can be recorded as +10 m and -8 m; Receipts of $200 and expenses of $300 can be recorded as.
$200 and -$300; 30 meters forward and 40 meters backward are counted as +30 meters and -40 meters, and 7 meters of ascent and 9 meters of eastward movement are counted as points.
7 meters and -9 meters?
Explanation: Quantities with opposite meanings must meet two conditions: (1) they must be quantities of the same property; (2) They have opposite meanings. Rise.
and decline; Eastward motion and westward motion are quantities with opposite meanings, because upward and eastward motion are not quantities with opposite meanings, so they cannot be.
It is recorded as +7 m and -9 m.
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It is possible to represent a quantity in the opposite sense of a positive number, but 0 is neither positive nor negative.
For example, it means expenses, debts. Available - 5000 yuan, etc.
The temperature can be -1 degree and so on.
If the number of students is increased or decreased, if 5 students are transferred, it is written as -5
-1 for each floor down the stairs
Negative numbers can also be used for weight loss, food loss, race scores, direction.
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Indicates expenditures, debts. Available - 5000 yuan, etc.
The temperature can be -1 degree and so on.
If the number of students is increased or decreased, if 5 students are transferred, it is written as -5
-1 for each floor down the stairs
Negative numbers can also be used for weight loss, food loss, race scores, direction.
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The meaning of negative numbers: Numbers smaller than 0 are called negative numbers, and negative numbers and positive numbers represent quantities with opposite meanings. The two negative numbers are compared to the size, and the absolute value is larger than the smaller. Negative numbers can be widely used in temperature, floor, altitude, expenditure, water level, etc.
The concept of negative numbers.
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 negative 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. The two negative numbers are compared to the size, and the absolute value is larger than the smaller.
The basic nature of negative numbers.
1. If the negative numbers are smaller than zero, the negative numbers are smaller than the positive numbers. Zero is neither positive nor negative, then -a<0<(+a.)
2. There is no smallest number in a negative number, and there is no largest number.
3. The negative sign before removing the negative number is equal to the absolute value of the negative number.
4. Fractions can also be used as negative numbers, such as: -2 5
5. The square root of a negative number is represented by an imaginary unit "i". (There is no square root for negative numbers in the range of real numbers).
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Negative numbers can be widely used in temperature, floor, elevation, water level, profit, increase or decrease, expenditure income, scoring and deduction points, etc.
Negative number is a mathematical term. Numbers less than 0 are called negative. Negative and positive numbers represent quantities of opposite significance. Negative numbers are represented by a minus sign "-", and positive numbers (e.g. 2) are antonyms of 2.
Denote. Therefore, any signed positive number before it becomes negative.
Extended information: If the negative number is less than zero, the negative number is less than the positive number. Zero is neither positive nor negative. Then -a<0<(+a.)
Negative numbers are neither the smallest nor the largest.
The minus sign before the minus sign is equal to the absolute value of the minus sign.
The square root of a negative number is in imaginary units.
i" means. (Negative numbers do not have square roots in the range of real numbers).
The largest negative integer is -1
There is no minimum negative number.
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The purpose of a reference to a negative number is to represent the opposite amount.
People often encounter various amounts of opposite meanings in their lives. For example, there are surpluses and losses in bookkeeping; When calculating the rice stored in the granary, sometimes it is necessary to record the grain, and sometimes the grain must be recorded. For the sake of convenience, people consider the number of opposite meanings.
Therefore, people introduced the concept of positive and negative numbers, and recorded the surplus money into the grain as positive, and the loss of money and the loss of grain as negative. It can be seen that positive and negative numbers are generated in production practice.
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Complex negative numbers have many uses in life, for example, if you spend 150 yuan, and then you give 200 yuan to that person, that person can directly use 150-200 to get the number, which is the money he wants to give you. Or the cost of living, the positive is the income, the negative is the expenditure.
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In the most commonly used accounting period, the part of expenditure is recorded as a negative sign, and the part of income is recorded as a positive sign (of course, + is usually not written). In this way, the income and expenditure are clear at a glance.
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In the plural, it can be expressed in life as you owe money to others, or you owe others something.
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