Shakespearean Square Root Calculator
Hi everyone, I'm back (Felix) with a post of something fun I made that is sort of related to math. So in class Mrs. Bjornson joked about making a calculator that insulted you with quotes from Shakespeare whenever you asked it to find the square root of a negative number. And as I was bored at the time, I decided to make note of it and lo and behold a couple hours later, one very English insult calculator was born. Now as I was feeling lazy at the time, this isn't a true calculator but simply one that finds the square root of the numbers you put into it, unless of course you mess up and input a letter or heaven forbid, a negative sign (then it insults you). Anyway, enough stalling here it is: https://repl.it/@Hogwarts250/shakespeareinsultcalc Once you open the link, press the green "Run" button at the top of the web page to start the program. Then type in the number you want to find the square root of and press enter. (You can do this as many times as you want) If you want to get insulted, type in a negative number or something with characters like "PHP and Java are fun programming languages" or "I enjoy putting decimals in my fractions" |
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Converting Non-Terminating, Repeating Decimals to Fractions (I don't know why my image isn't showing up)
Hey y'all, Felix here. So I've been meaning to make this post for a while now but this is the first time that I've had enough time and had wifi. But hey, better late than never.
As you will soon learn (or have already), decimals will become that BANE OF YOUR MATHEMATICAL LIFE! However you can always turn these decimal numbers back into nice, happy fractions. So 0.1 = 1/10, 0.25 = 1/4, and 0.32 = 32/100. Those terminating decimals are nice and easy. Just put it over some multiple of 10 and simplify. But what about those non-terminating (repeating) decimals like 0.111..., 0.343434..., 0.567567567... you say. Ah, have no fear with some algebra and this simple 7 step path you can vanquish those devious non-terminating, repeating decimals and turn them back into nice, happy fractions.
And voila! Your nasty non-terminating, repeating decimating has been converted into a nice, neat fraction.
(Sorry if my explanation is a bit difficult to follow, I'm still working on improving my mathematical explanations)
Hey y'all, Felix here. So I've been meaning to make this post for a while now but this is the first time that I've had enough time and had wifi. But hey, better late than never.
As you will soon learn (or have already), decimals will become that BANE OF YOUR MATHEMATICAL LIFE! However you can always turn these decimal numbers back into nice, happy fractions. So 0.1 = 1/10, 0.25 = 1/4, and 0.32 = 32/100. Those terminating decimals are nice and easy. Just put it over some multiple of 10 and simplify. But what about those non-terminating (repeating) decimals like 0.111..., 0.343434..., 0.567567567... you say. Ah, have no fear with some algebra and this simple 7 step path you can vanquish those devious non-terminating, repeating decimals and turn them back into nice, happy fractions.
- declare that the variable "x" (you can use anything you like) is equal to the non-terminating, repeating decimal you want to convert
- multiply your non-terminating, repeating decimal by a multiple of 10 until there is an entire repetition of the pattern to the left of the decimal point
- set "x" times the multiple of 10 you used in the second step equal to the number you got in the second step
- subtract your original non-terminating, repeating decimal from the number you got in the second step (this should give you an integer)
- subtract the variable "x" from the number of "x" you got in the third step
- setup an equivalence with the answer from step 5 on one side and the answer for step 4 for on the other
- solve for "x" (or whatever the variable you chose is)
And voila! Your nasty non-terminating, repeating decimating has been converted into a nice, neat fraction.
(Sorry if my explanation is a bit difficult to follow, I'm still working on improving my mathematical explanations)
Photo used under Creative Commons from jerseytom55