Can you use the rules in the range of rational numbers to illustrate the absolute value of irrational numbers, the reciprocal of irrational numbers, and the fact that two irrational numbers are opposite to each other?

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• 1. It is known that a is a rational number, B and C are irrational numbers. Which of the following numbers must be irrational? Which are not? Which are not If it must be, please explain the reason; if not, please give an example. （1）a+b；（2）ab；（3）b+c；（4）bc
• 2. In real numbers, there are__ ① The largest rational number, the smallest irrational number, the number with the largest absolute value, and the number with the smallest absolute value
• 3. Does an irrational number have the smallest absolute value
• 4. The connection between rational numbers and irrational numbers? Is the sum, difference, product, division and square of two irrational numbers irrational? Is the sum, difference, product, division and square of rational and irrational numbers irrational? Please explain the reason and give examples. Thank you. If you answer well, it will increase the reward!
• 5. If you add an integer to itself, you want to subtract, multiply, divide, and add up the sum, difference, product, and quotient to 37, what's the number?
• 6. The sum of three X's is (). The product of three M's is ()
• 7. How many is the sum of multiplication of 7 plus 2 divided by 5 and the remainder
• 8. 1. If M = 5 × 5 × 5 ×. × 5 (a total of 2007 five times), n = 2 × 2 × 2 ×. × 2（ 1. If M = 5 × 5 × 5 ×... × 5 (a total of 2007 5 multiplications) and N = 2 × 2 × 2 ×... × 2 (a total of 4685 2 multiplications), please compare the size of M and n.
• 9. Two numbers add up to 16, but when they are multiplied, they are 8 times larger than one of them. What are these two numbers? Two numbers add up to 16, but when they are multiplied, they are 8 times larger than one of them. What are these two numbers?
• 10. Ask a math problem: there are four children, one is one year older than the other, the product of multiplication is equal to 360, how many years old is the biggest?
• 11. Given that the 8N power of 3 = 2, find the - n-1 power of 9 times the - 2n power of 27
• 12. 1 times 2 times 3 is recorded as 3! And read as the factorial of 3. Equal to 1 times 2 times 3 times 4 times 5 times 6 times 7 times 8, equal to 40320. Equal to 10! Equal to?
• 13. VB sum, sin (x) = x / 1-x ^ 3 / 3! + x ^ 5 / 5! - (- 1) ^ (n-1) * x ^ (2 * n-1) / (2n-1)! Exclamation mark means factorial Private Sub Form_ Click() Dim x%,,i%,q% X = Val (InputBox ("please enter the value of X")) Do While t >= 10 ^ (-5) s = s + t n = n + 1 For k = 1 To 2 * n - 1 q = q * k Next k t = ((-1) ^ (n - 1)) * (x ^ (2 * n - 1)) \ q Loop Print "s="; s End Sub It ends when the value of the nth item is less than 10 ^ - 5
• 14. Using java to calculate the factorial of 1 and add it to the factorial of 20. What's wrong with me, //Calculate + 2! + +20!. program name: X03_ 06 For.java public class X03_ 06For{ public static void main(String args[]){ int sum=0,n,m,a=1; for(n=1;n
• 15. A summation of factorial sequence If s = 1 * 1! + 2 * 2!. + 2007 * 2007! Then the remainder of s divided by 2008 is A 0 B 1 C 1004 D2007 Process detailed bonus No process, no points...
• 16. It is proved that the factorial of n is not a complete square number (n > = 2)
• 17. Write a program to find the sum of factorial of all non prime numbers between M and N. for example, if there are 1, 4, 6 and 8 non prime numbers between 1 and 8, then 1! + 4! + 6! + 8! = 41065
• 18. Is 2010 factorial + 1 prime? 2! + 1 = 3 is prime 3! + 1 = 7 is prime 4! + 1 = 25 = 5 × 5 is not prime 5! + 1 = 121 = 11 × 11 is not prime 6! + 1 = 721 = 7 × 103 is not prime 7! + 1 = 5041 = 71 × 71 is not prime 8! + 1 = 40321 = 61 × 661 is not prime
• 19. Let n be a natural number, n! = 1 * 2 * 3 *... * (n-1) * n be called the factorial of N, and 0! = 1. Try to write a program to calculate 2, 4, 10! And output the result This problem is java programming!
• 20. 2 4 7 13 factorial calculation 24