![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
For a three digit number, a hundred digit number is a, a ten digit number is B, and a single digit number is C, and a > C, exchange the position of a hundred digit number and a single digit number to get a new three digit number, please explain: The difference between the original three digits and the new three digits must be a multiple of 99
100a+10b+c-(100c+10b+a)
=100a+10b+c-100c-10b-a
=99a-99c
=99(a-c)
∵ a-c is an integer greater than 0
That 99 (A-C) is a multiple of 99
The difference between the original three digits and the new three digits must be a multiple of 99
RELATED INFORMATIONS
- 1. a. B, C are three digit hundreds, tens and ones, and a Who can help me? My wealth is zero
- 2. Let a, B and C be a three digit number of hundred, ten and one respectively, and a ≤ B ≤ C, then the maximum value that | A-B | + | B-C | + | C-A | can obtain is______ ．
- 3. If A.B.C is a three digit number of hundred, ten and one, and a ≤ B ≤ C, then the maximum value of | A-B | + | B-C | + | C-A |,
- 4. If a, B and C are three digits of a three digit number, and a ≤ B ≤ C, what is the maximum value of | A-B | + | B-C | + | C-A |?
- 5. How many zeros are there at the end of the factorial of 100
- 6. How many zeros are there at the end of the factorial of 35? 35*34*33…… *3 * 2 * 1 the answer is 8,
- 7. How many consecutive zeros are there at the end of the factorial in 2013?
- 8. How many zeros are there at the end of the factorial of 25?
- 9. Why is 0 factorial 1,1 factorial 1,2 factorial 2?
- 10. The reason why the factorial of 0 is 1 In my opinion, it is inappropriate for some people to deduce 0! = 1 by using the factorial recurrence formula The premise of recurrence formula n! = n * (n-1)! Is n > 1, so it is wrong to substitute 1 to get 0! = 1 Factorial is defined as n! = 1 * 2 * 3 *. * n or n! = n *. * 3 * 2 * 1, starting from or ending at 1 So 1! = 1 * 1 and not equal to 1 * 0! =In the permutation formula, P = n! / (m-n)! In order to make the equation hold when m = n, the denominator cannot be 0, so 0! = 1 is specified. Moreover, we know that there is only one way to take n elements from n elements, so it can only be specified equal to 1, not equal to 2, 3 The last sentence is wrong. There are n! Ways to take n elements from n non primes, so p = n, so 0! = 1 cannot be equal to 2,3
- 11. Let's work out a math problem for me with a formula A is 5 / 21 of B and C is 4 / 5 of A. A, B and C donate 310 to each of them. How much do they donate? Write down the formula
- 12. Limit LIM (sinx-x) / x ^ 3 = LIM (- x ^ 3 / 6 / x ^ 3) = - 1 / 6, where X - > 0 - how to deduce these two steps? Principle and explanation Limit LIM (sinx-x) / x ^ 3 = LIM (- x ^ 3 / 6 / x ^ 3) = - 1 / 6, where X - > 0 - how to deduce these two steps? Principle and explanation X ^ 3 is the third power of X
- 13. Is LIM (x - > 4) (x ^ 2-4x) / (x ^ 2-3x-4) suitable to use the lobita theorem? What is applicable and what is not. Can't it be used except those two types?
- 14. Limx - > ∞ arctan (√ x2 + 2x-x) how to use the continuity of function to find the limit and kneel down to find the answer It's the square of the root x plus 2x, and then minus X.
- 15. Find the left and right limit, and determine whether the limit of function at this point exists, f (x) = arctan (1 / x), x = 0
- 16. Let f (x) = {arctan [1 / (x-1)], X not equal to 1,0, x = 1. Find the limit of F (x), X tends to 1 minus, and the limit of F (x), X tends to 1 plus
- 17. It is proved that f (x, y) = sin (XY) / √ (x ^ 2 + y ^ 2) when x ^ 2 + y ^ 2 ≠ 0, and f (x, y) = 0 is continuous at (0,0) when x ^ 2 + y ^ 2 = 0
- 18. Is three times the root two a fraction The form should be score But by definition, rational numbers include integers and fractions. Obviously, three-thirds of the root sign two is irrational, so it can't be called fractions···
- 19. If a ≤ 0, simplify a - √ A & # 178
- 20. A = 1, B = - 2, C = - 3, simplify a + C - A + B + C - B - A + B + C with letters In letters