Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. I am a programmer, so a quick brute-force would easily give me the answer, but I am more interested in a pen-and-paper solution. How many zero digits are there in all six-digit numbers?
The first digit is never zero, but if we pool all of the non-first digits together, no value occurs more often than the others, so exactly one-tenth of them will be zeroes. This solution might appeal to a programmer's mind.
What remains is. However, we may also put a zero in the tens place. Similarly, we may count the zeros in the other places by considering the naturals into which they can be injected.
How about the googolplex , which is a one followed by a googol of zeros. The googolplex is so large its value exceeds the number of atoms in the known universe. Since then, even larger numbers have been described, such as TREE 3. The names given to large numbers based on powers of ten vary between different countries. The two main naming systems are the short scale and the long scale. The United States uses the short scale, in which a billion is 1, million and is written as a one followed by nine zeros.
The long scale is used in France and was previously used in the United Kingdom. In the long scale, a billion means one million million. A Million? A Trillion? Wondering how many zeros are in a billion? A trillion? A nonillion? How Many Zeros in a Trillion? How Many Zeros in a Million? Hayley Milliman. About the Author. Search the Blog Search. Find Out How. Get the latest articles and test prep tips! Looking for Graduate School Test Prep? Apply market research to generate audience insights. Measure content performance.
Develop and improve products. List of Partners vendors. Share Flipboard Email. Anne Marie Helmenstine, Ph. Chemistry Expert.
Helmenstine holds a Ph. She has taught science courses at the high school, college, and graduate levels. Facebook Facebook Twitter Twitter. Updated December 09, Name Number of Zeros Groups of 3 Zeros Ten 1 10 Hundred 2 Thousand 3 1 1, Ten thousand 4 10, Hundred thousand 5 , Million 6 2 1,, Billion 9 3 1,,, Trillion 12 4 1,,,, Quadrillion 15 5 Quintillion 18 6 Sextillion 21 7 Septillion 24 8 Octillion 27 9 Nonillion 30 10 Decillion 33 11 Undecillion 36 12 Duodecillion 39 13 Tredecillion 42 14 Quatttuor-decillion 45 15 Quindecillion 48 16 Sexdecillion 51 17 Septen-decillion 54 18 Octodecillion 57 19 Novemdecillion 60 20 Vigintillion 63 21 Centillion Featured Video.
View Article Sources. Cite this Article Format. Helmenstine, Anne Marie, Ph.
0コメント