What is the largest number that you can write with just three digits?
999 (9 to the 9th power of 9). Work out the second and third powers first (9*9*9*9*9*9*9*9*9 = 387420489.) We can therefore restate the sum as 9387420489
The biggest number that I can think of that has 3 digits is "999K". You didn't say that I couldn't add a letter.
If we're allowed to use common symbols, my guess is (9!)^[(9!)^(9!)], which has around 10^2017526 digits according to Wolfram Alpha.
Without common symbols, my guess is 9 to the power of 9-to-the-9th (written as a tower of powers). Since we can't format superscripts in the Q&A section, it's 9^(9^9) written in "linear" notation. This works out to a number with 369,693,100 digits.
(Not sure if this is the same as JThomp's answer)
I've seen this puzzle before and once had an argument with a guy who insisted that the only correct answer was 999, as in nine hundred ninety-nine. He said anything else was "an expression that evaluates to a number" but not actually a "number." Don't know if he really bought this or was just trying to be smug, lol.
With three digits the largest number I can write is "ten" using 7 = T, 3 = E, and 2 = N.
The largest number you can write doesn't depend on the actual digits, but the limitations of your available font size at hand; ha! For example, if you use the Nazca Lines method, you could write some really large numbers, even if it was a mere 111...
All of these answers that use "9" assume that the number is written in Base 10. Another common counting system is hexadecimal, or base sixteen. Not using any other symbol, it's highest 3-digit number is FFF, which translates into decimal as 15^3+15^2+15, or 3375+225+15, or 3,615.
But, of course, theoretically, any base is possible, so that the number in three digits could be infinitely high.
I'm beginning to wonder what CWanamaker was thinking when he wrote the question that has so many answers?
Good thinking outside of the box. I should have been more specific in my question...there is a wide range of interpretations and answers given.
Thanks, CWanamaker. I'd be really intrigued to see you post a new question, more precise, along the original lines of your inquiry.
It depends on what base you're talking about and whether or not you're talking about a positional numbering system. In hex, it would be FFF. In decimal, 999.
But let's say you have base 1,000,000,000,000,000, and the highest single digit is represented by the asterisk. Then the largest 3-digit number would be ***. Converting *** to decimal (scientific notation) would yield 1.0e45-1.
But then you could create a base 1.0e45. Say it's highest single digit is #. Then the largest 3-digit number would be ### = 1.0e135-1 (decimal).
So, as you can see, the largest 3-digit number in any base is the highest single digit in that base used 3 times (in a positional numbering system).
by Grace Marguerite Williams 2 years ago
What number can be divided by 8, 9, 12, 16, 18, 24 & 36 ?
by Julie Grimes 7 years ago
What's a harshad number?
by Sharlee 11 months ago
My question - President Trump was well known for this statement. "You will get sick of winning." Are you sick of winning? Trump's economy once again this month beats projected unemployment numbers... 18 year low. ...
by lolxd 8 years ago
what is $3 TO $9 is whole number ratio?
by Jacqueline Williamson BBA MPA MS 4 years ago
Motel HideoutA thief hides out in one of the 45 motel rooms listed in the chart below. The motel’s in-house detective received a sheet of four clues, signed “The Holiday Thief.” Using the clues below, the detective found the room number within 15 minutes—but by that time, the thief had...
by vicwd 8 years ago
my rabbits are 9 weeks old, should i let them out in a run
Copyright © 2019 HubPages Inc. and respective owners. Other product and company names shown may be trademarks of their respective owners. HubPages® is a registered Service Mark of HubPages, Inc. HubPages and Hubbers (authors) may earn revenue on this page based on affiliate relationships and advertisements with partners including Amazon, Google, and others.
HubPages Inc, a part of Maven Inc.
|HubPages Device ID||This is used to identify particular browsers or devices when the access the service, and is used for security reasons.|
|Login||This is necessary to sign in to the HubPages Service.|
|HubPages Traffic Pixel||This is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.|
|Remarketing Pixels||We may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.|
|Conversion Tracking Pixels||We may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.|