Exactly $1000$ perfect squares between two consecutive cubes
Oct 19, 2025 · Therefore there are exactly $1000$ squares between the successive cubes $ (667^2)^3$ and $ (667^2+1)^3$, or between $444889^3$ and $444890^3$. Finally, we can verify all of this by …
Creating arithmetic expression equal to 1000 using exactly eight 8's ...
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)...
arithmetic - How much zeros has the number $1000!$ at the end ...
May 13, 2014 · 1 the number of factor 2's between 1-1000 is more than 5's.so u must count the number of 5's that exist between 1-1000.can u continue?
How many natural numbers less than 1000 are divisible by 2, 3, or 5?
May 28, 2017 · If you are taking 0 0 as a natural number, then add 3 to the count. Since the problem asks for the numbers less than 1000 1000, subtract off 2 2 from the count since 1000 1000 is …
Why is 1 cubic meter 1000 liters? - Mathematics Stack Exchange
Can anyone explain why 1 m3 1 m 3 is 1000 1000 liters? I just don't get it. 1 cubic meter is 1 × 1 × 1 1 × 1 × 1 meter. A cube. It has units m3 m 3. A liter is liquid amount measurement. 1 liter of milk, 1 liter …
distribution flip a coin 1000 times - Mathematics Stack Exchange
Oct 22, 2015 · If a coin is flipped 1000 times, 600 are heads, would you say it's fair? My first thought was to calculate the p-value. Assume it's fair, the probability of getting 600 or more heads will be .5^1...
Find the sum of all the multiples of 3 or 5 below 1000
Mar 2, 2012 · 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 …
arithmetic - Quintillion bytes to terabytes - Mathematics Stack Exchange
Mar 17, 2016 · I am trying to convert 2.5 quintillion bytes to terabytes (IBM's estimate on the amount of data produced daily), could someone check if my calculations are correct? 1 Terabyte is 1000 …
Prove $1.01^{1000} > 1000$ without using calculator
Feb 4, 2020 · Prove $1.01^ {1000} > 1000$ without using calculator. With WolframAlpha $1.01^ {1000} \approx 20959$, but can this be proved without calculator?
How many integers between 1000 and 9999 inclusive consist of
Oct 11, 2015 · How many integers between $1000$ and $9999$ inclusive consist of (a) Distinct odd digits, (b) Distinct digits, (c) From the number of integers obtained in (b), how many are odd integers?