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Divide four digits by two digits and divide 50 channels
1000/25 1000/40 1000/50 5000/50 7000/35 8200/20 1230/30 2500/50 3000/60 3000/50 4600/23 9300/31 6900/23 9000/45 4560...
Are all numbers divisible by 2 even?
2 is even. Is the number divisible by 2 even?
Yes
Every natural number is either odd or even. A natural number is even if and only if it can be divisible by 2. Not all natural numbers can be divisible by 2
Therefore, some natural numbers are odd. Symbolize this proposition and prove its conclusion
Because it can't take and exist, we use Π and Σ to denote full quantifier and existential quantifier respectively. Right and wrong, ∩∪ is logical intersection, not set intersection and union. E (x): X is even number, O (x): X is odd number, f (x): X can be divided by 2. Domain: all natural number conditions are: Π x (E (x) ∩ o (x)), Πx (E (x) f (x))
RELATED INFORMATIONS
- 1. If n is not a natural number, then all even numbers can be expressed as____ All odd numbers can be expressed as____ The number divisible by 5 can be expressed as___ The number 2 divided by 3 can be expressed as___ .
- 2. There are () odd numbers between 100 and 200, () even numbers, and () multiples of 5. The ones of 3 can be divided by 3 and 5 at the same time How many can be divided by 3 and 5 at the same time
- 3. If a number can be divisible by two and three at the same time, it must be divisible by six______ ．
- 4. From 1 to 100, there are 34 numbers divisible by 5 and 7 Is a number that can be divided by 5 or 7
- 5. From 1 to 100, how many numbers can be divided by 2 or 3?
- 6. Nickname Theory: for any integer n, polynomial (4N * 2 + 5) * 2-9 can always be divided by 8
- 7. For any integer n, the following numbers or expressions can divide the square of the polynomial (n + 5) - where is the square of N It needs to be explained in detail
- 8. Can you show that (n + 7) & sup2; - (N-5) & sup2; is divisible by 24
- 9. Let's introduce letters. The suitable algebra is: (1) an integer divisible by 3; (2) an integer whose remainder is 2
- 10. 1) It is proved that if a divides B × C, and a and B are coprime, then a divides C (ABC is an integer). If the theorem is wrong, give an example and modify it, and prove the modified theorem 2) It is proved that if a and B are positive integers, if a > b, then the square of a > the square of B, and vice versa
- 11. A four digit number can be divided by two consecutive two digit numbers. If the four digit number is divided by one of them, the quotient is 141. If the four digit number is divided by the other, the quotient is larger than 141. The four digit number is 141
- 12. Is the proposition "the sum of the product of four continuous positive integers and 1 must be a complete square number"
- 13. There are four natural numbers which are not equal to each other. The difference between the maximum number and the minimum number is equal to 4. The product of the minimum number and the maximum number is an odd number, and the sum of these four numbers is the smallest two odd numbers. What is the product of these four numbers?
- 14. There are five consecutive odd numbers whose product is 328 185. Find these five natural numbers
- 15. In natural numbers, the smallest even number is (), and the smallest odd number is ()
- 16. Let n be a natural number, and use the algebraic expression containing n to express: 1. Three consecutive integers; 2. Two adjacent even numbers; 3. Two adjacent odd numbers
- 17. The formula 1 + 2 + 3 + 4 +. + 100 represents the sum of 100 natural numbers starting from 1. Because the formula is relatively long, the writing is not square For the sake of simplicity, we will express it as ∑ (100 above, n = 1 below, N in the middle). Here is the summation sign. Through reading the above materials, we can calculate ∑ (2014 above, n = 1 below, 1 / N of n (n + 1) at the opening in the middle)
- 18. Read the formula "1 + 2 + 3 + 4 +..." 100 "is the sum of 100 consecutive natural numbers starting from 1 as follows It's inconvenient to write. For the sake of simplicity, we express it as ∑ (100 above, n = 1 below, and N on the right). Here the ∑ is the summation sign. Through reading the above materials, we can calculate ∑ {20 above, n = 1 below, and 1 / n (n + 1) on the right}? What does n (n + 1) mean? I don't understand it at all,
- 19. The sum of two natural numbers is 9858. The larger number is equal to the smaller number after removing the single digits. What are the two numbers? One more question: in the sixth grade group, the number of boys accounted for 4 / 9 of the total number of the group. Later, seven boys were transferred in. At this time, the number of boys was just 3 / 5 of the total number of the group? Please, I'm stupid. I have a lot of questions to ask you. Can I help you? Thank you! Another question: there are 120 ball, divided into two classes, class 1 to 3 / 1 and class 2 to 2 / 1 equal, ask two classes each to several ball?
- 20. SOS, known a four digit, thousands, hundreds, tens, and is the complete square of a natural number! Please use C + + program to calculate the number! (in fact, 7744!)