It means “26 million thousands”. Essentially just take all those values and multiply them by 1000 1000 . So roughly $26 $ 26 billion in sales. 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 ! Question: Find the number of times 5 5 will be written while listing integers from 1 1 to 1000 1000 . Now, it can be solved in this fashion. The numbers will be of the form: 5xy, x5y, xy5 5 x y, x 5 y, x y 5 where x, y x, y denote the two other digits such that 0 ≤ x, y ≤ 9 0 ≤ x, y ≤ 9. So, x, y x, y can take 10 10 choice each. Since the length cannot be negative we can ignore − √ 1000 Therefore, y = √ 1000 is the critical number. By plotting we can see that y = √ 1000 do not correspond to be local minimum, which means the perimeter of the width is minimized. We have length x = 1000 √ 1000 √ 1000 and width y = √ 1000 So, we can say that the perimeter of the rectangle is minimized which is actually a square. 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). What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321? There are $ 1000 $ people in a hall. One person had their hand painted. Every minute everyone shake their hand with someone else. How much time is needed to paint all the hands? What is the best scen.
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