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安裝中文字典英文字典辭典工具!
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- How much zeros has the number $1000!$ at the end?
If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 s are there in the factorization of 1000! 1000!
- Creating arithmetic expression equal to 1000 using exactly eight 8s . . .
I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses Here are the seven solutions I've found (on the Internet)
- Solution Verification: How many positive integers less than $1000$ have . . .
A positive integer less than 1000 1000 has a unique representation as a 3 3 -digit number padded with leading zeros, if needed To avoid a digit of 9 9, you have 9 9 choices for each of the 3 3 digits, but you don't want all zeros, so the excluded set has count 93 − 1 = 728 9 3 − 1 = 728
- algebra precalculus - Which is greater: $1000^ {1000}$ or $1001^ {999 . . .
Question: Find the greater number: 10001000 or 1001999 My Attempt: I know that: (a + b)n ≥ an + an − 1bn Thus, (1 + 999)1000 ≥ 999001 And (1 + 1000)999 ≥ 999001 But that doesn't make much sense I want some hints regarding how to solve this problem Thanks
- $1000$ small cubes are assembled into a larger cube. If one layer of . . .
1000 1000 is the number of small cubes in the original cube Each face of the original cube contains 10 × 10 = 100 10 × 10 = 100 small cubes, so the effect of removing the small cubes on all six faces, before allowing for double or triple counting, is a deduction of 600 600
- Look at the following infinite sequence: 1, 10, 100, 1000, 10000,
What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321?
- statistics - If I ask $1000$ people to choose a random number between . . .
Imagine I asked 1000 people to choose a number between 0 and 999 (both inclusive, the numbers are not biased, they will be completely random) and write that number down Now, after that, pick a number, x, where 0 ≤ x ≤ 1000 What is the probability that none of people that I asked will have chosen that number? I ran a simulation in Python to do this 10000 times (code), and in 37 22% of the
- What does it mean when something says (in thousands)
It means "26 million thousands" Essentially just take all those values and multiply them by 1000 1000 So roughly $26 $ 26 billion in sales
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