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What is irrationality? What is the specific concept of irrational numbers? Can you give me an example?
In the process of finding the root of a number, we find that the root of many numbers is not an exact value, but an approximate value.
In addition, pi =3.141592653... ,
Another example is:0.1010010001.
These numbers are not finite decimals or infinite cyclic decimals, that is, they are not rational numbers, they are all infinite non-cyclic decimals.
Note:(1) An irrational number should satisfy three conditions:1 is a decimal number;2 is an infinite decimal number; and 3 is not cyclic.
(2) The irrational numbers are not all numbers with root sign (for example,π is irrational number), otherwise, the numbers with root sign are not all irrational numbers.
Will the absolute value of a rational number be negative? Why?
Absolute value is always greater than or equal to 0
RELATED INFORMATIONS
- 1. The absolute value of any rational number a is a () or ().
- 2. Which of the following are rational numbers? Which are irrational numbers? 3.11 -2/3 0.23[23 Is cyclic ]4.969696.[ ellipsis ]π0 2.351355135551.[ Ellipsis ](number of 5 between 3 and 1 plus 1)
- 3. Positive integer, negative integer, zero, natural number, rational number, irrational number, real number relation?
- 4. What is the concept of natural real rational irrational integer?
- 5. A positive number and negative number are collectively called rational number B infinite decimal number are irrational number C rational number and irrational number are collectively called real number D the sum of two irrational numbers must be irrational number A positive number and negative number are collectively referred to as rational number B infinite decimal number are irrational number C rational number and irrational number are collectively referred to as real number D irrational numbers must be irrational number
- 6. It is true that () A finite decimal is a rational number and infinite decimal is an irrational number B a rational number is either a positive number or a negative number C a none The following statements are true () A Finite decimals are rational, infinite decimals are irrational B A rational number is either positive or negative C An irrational number is either a positive number or a negative number D A real number is either positive or negative It is true that () A finite decimal is a rational number and infinite decimal is an irrational number B a rational number is either a positive number or a negative number C a none The following statements are true () A Finite decimals are rational, infinite decimals are irrational B A rational number is either positive or negative C An irrational number is either a positive number or a negative number D A real number is either a positive number or a negative number
- 7. Calculate the value of (3+1)(3 square+1)(3 fourth power +1)...(3 thirty second power +1)- the value of the sixty-fourth power of three-thirds. Calculate the value of (3+1)(3sq+1)(3quadratic+1)...(332+1)-the value of the sixty-fourth power of three-thirds.
- 8. Calculate the value of s=1+4+4 square+4 third power +4 fourth power +.+4 20th power, fast! Don't do it in an equivalent series. I' m in seventh grade. Okay.
- 9. Reading material: find the third power of the square +2 of 1+2+2+…… +2 To the 2013 power. Find the third power of the square+2 of 1+2+2+…… +2 To the 2013 power. Let S=1+2+2^2+2^3+…… +2^2013, Then 2S =2*(1+2+2^2+2^3+…… +2^2013)=2+2^2+2^3+…… +2^2013+2^2014 Find the third power of the square+2 of 2S-S=______s=______2+2+…… 2013 Power =________ of 2 Calculation: (1) The third power of the square +2 of 1+2+2+…… +2 To the 10th power; (2) The cubic +…… of the square of 1+3+3+3 +3 To the nth power.
- 10. Calculation (-2)2012 power +(-2)2013 power What was the result? By the way, we need to add process ······ Calculation (-2)2012 power +(-2)2013 power What is the result? By the way, we need to add process ······
- 11. If the sum of two different irrational numbers is a rational number, then what are the two irrational numbers?
- 12. The Difference Between Rational and irrational numbers The Difference between rational and irrational numbers
- 13. What is a rational number and what is an irrational number What is a rational number what is irrational number
- 14. Is 22 out of 7 irrational? What is the general classification of irrational numbers? You're wrong, it's 22 out of 7, not 7 out of 22, so it shouldn't be 18 cycles Isn't 22 out of 7 unreasonable? What is the general classification of irrational numbers? You're wrong, it's 22 out of 7, not 7 out of 22, so it shouldn't be 18 cycles Was 22 out of 7 unreasonable? What was the general classification of unreasonable numbers? Everyone seemed to be wrong. It was 22 out of 7, not 7 out of 22, so it should not be 18 cycles
- 15. Is 7 out of 22 irrational? Is the cubic root of 3 a rational number?
- 16. Is 3/17 rational or irrational? If it's a rational number, then why is it an infinite non-circulating decimal? If it's not a rational number, then it fits the definition of a rational number?
- 17. 3.14159 Is it rational or irrational?
- 18. One-half, one-third, rational or irrational,0.5?
- 19. Is 4th π an irrational number or a rational number
- 20. Fractional plus/minus multiplication and division of decimals; integer plus/minus multiplication and division Reward 20 Fractional plus/minus multiplication and division decimal; integer plus/minus multiplication and division Reward 20