- How much zeros has the number $1000!$ at the end?
1 If a number ends with n zeros than it is divisible by 10n, that is 2n5n A factorial clearly has more 2 s than 5 s in its factorization so you only need to count how many 5 s are there in the factorization of 1000!
- 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
- 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
- Numbers in a list which are perfect squares and perfect cubes of . . .
are perfect cubes but I can't manage to get a formula pattern to determine how many there are before 2001 without actually counting them
- How many numbers between 1 and 1000 are divisible by 2, 3, 5 or 7?
Further, 991 and 997 are below 1000 so shouldn't have been removed either This gives 224 + 2 + 2 = 228 numbers relatively prime to 210, so 1000 − 228 = 772 numbers are divisible by 2, 3, 5, or 7
- Find the sum of all the multiples of 3 or 5 below 1000
49 How to solve this problem, I can not figure it out: If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9 The sum of these multiples is 23 Find the sum of all the multiples of 3 or 5 below 1000
- calculus - Optimization Problem. Find Smallest Perimeter of a Rectangle . . .
QUESTION Find the dimensions of a rectangle with area 1000 1000 m 2 2 whose perimeter is as small as possible MY WORK I think we are solving for dy dx d y d x:
- What is infinity divided by infinity? - Mathematics Stack Exchange
I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
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