What is the exact definition of rational number? In the chapter of rational numbers in grade seven, the following questions are not clear: 1. Positive numbers, negative numbers and 0 are all called rational numbers. π is a positive number, but it is not a rational number, 2. Integers and fractions are called rational numbers. 0.999... Can't be converted into exact fractions, but it's rational numbers, 3. Integers and circular decimals are collectively called rational numbers. I think it's more accurate. Why don't we say that in textbooks? If the examination of such a judgment question: positive numbers, negative numbers and 0 collectively referred to as rational numbers or integers, scores collectively referred to as rational numbers. I judge whether it is right or wrong?

What is the exact definition of rational number? In the chapter of rational numbers in grade seven, the following questions are not clear: 1. Positive numbers, negative numbers and 0 are all called rational numbers. π is a positive number, but it is not a rational number, 2. Integers and fractions are called rational numbers. 0.999... Can't be converted into exact fractions, but it's rational numbers, 3. Integers and circular decimals are collectively called rational numbers. I think it's more accurate. Why don't we say that in textbooks? If the examination of such a judgment question: positive numbers, negative numbers and 0 collectively referred to as rational numbers or integers, scores collectively referred to as rational numbers. I judge whether it is right or wrong?


The current textbooks are not accurate
You know, for the Chinese, modern mathematical theory is "imported". Rational number in English is rational number, while irrational number in English is irrationalnumber. The translation of rational number and irrational number into rational number and irrational number is not the invention of the Chinese, but the Japanese. But as we all know, the Japanese English is very poor, In other words, the so-called rational number exactly means comparable number, while irrational number is not. There is another proof for this. According to legend, irrational number was first discovered by hippos, a disciple of Pythagorean School. He proved that it could not be expressed by integers and fractions by geometric method. Pythagoras believed that any number could be expressed by integers and fractions, and did not believe in the existence of irrational number, However, he could not prove that there was no irrational number. Later, hibers revealed irrational number to outsiders - the leakage of knowledge violated the school rules - and was executed for the same crime as "blasphemy". Therefore, in my personal opinion, 0.999 It's not a rational number, because it's not comparable. Of course, 0.999 Is it an irrational number? I don't think it can be determined now, because it doesn't seem to exist in the earth, and whether it exists in the universe is not proved at present. As for 0.999 The relationship between and 1, and how it mutates into 1, can not be explained by current scientific theory
It is a pity that the translation of rational numbers and irrational numbers has not been corrected after so many years
The examination is based on the textbooks, because you said it is not what you said, I said it was not, science did not count, the judge has the final say.
The textbooks are as follows: rational numbers are the general name of integers and fractions, and all rational numbers can be transformed into fractions
Therefore, positive numbers, negative numbers and zero are all called rational numbers, which are wrong in the examination
Integers and fractions are called rational numbers, which are right in the exam



What is the principle of rational number classification?


Let's see if he's reasonable



What are the classifications of rational numbers


Integers and fractions



How is the mixed operation of addition and subtraction of rational number an algorithm
Don't copy. Simple points, such as - 7 - (+ 33) + - 4 - (- 15) + + 63, how to calculate, order and method


-7-(+33)+(-4)-(-15)+(+63)
=-7-33-4 + 15 + 63 open brackets first
=-44 + 78 and add the same sign
=Finally, take the sign of the number with the largest absolute value as the sign of the final result, and then add and subtract



The addition and subtraction of rational numbers = = please tell me how to add and subtract,
(1) 1+(+3)
(2)(-2)+(-4)
(3) (- 1 / 2) + (+ 1 / 2)
Just these questions, teach me!


First question:
=1+3=4
=-(2+4)=-6
=-1/2+1/2
=0
Rule of rational number addition: (same sign) add two negative numbers, take the same sign, and add the absolute value
When subtracting negative numbers, take the sign with the largest absolute value and subtract the absolute value
The rule of rational number subtraction: subtracting this number is equal to adding the opposite number of this number



In addition and subtraction, the same digits should be aligned______ (judge right or wrong)


In addition and subtraction, the same digits should be aligned



In the two digit addition and subtraction method, which digits should be aligned first


A bit, or you'll make a mistake



The meaning of addition and subtraction


Addition
The operation of combining two numbers into one is called addition
Addition is one of the most basic operations in mathematics. The two numbers added are called addends, and the number added is called sum
subtraction
In subtraction, the known sum is called the subtracted, the subtracted known addend is called the subtracted, and the calculated unknown addend is called the difference. Subtraction is the inverse operation of addition



The significance and significance of fractional addition______ The meaning of addition is the same______ It's a simple operation


The meaning of fractional addition is the same as that of integer addition. It is the operation of combining two numbers into one number



Given the sum of two addends and one of them, the operation of finding another addend is called subtraction______ (judge right or wrong)


Given the sum of two addends and one of them, the operation of finding the other addend is called subtraction