hi im in grade 8 and i had math homework today and it was about conversion of fractions to decimals and looking for patters….so what we had to do was convert 122 through 1422, but we had to do its weirdly, we had to do 122, 222,322,422,522,622 then notice a pattern and so the rest, but not by doing them but by following the pattern…..122 to 622 in decimals are as follows:
0.045(repeat 45), 0.09(repeat09) 0.136(repeat 36)0.18(repeat18) 0.227(repeat the 2 and 7…second2 though) 0.27(repeat 27) the pattern i noticed was that it increases by 0.045(repeat 45) when i added it each time from starting from one all the terms were close but not right, like when i added 0.18181818…and added 0.045454545…it was 0.2272727then6…but when i actually divided it 5 divided by 22 i got 0.22727272727…why is that, every time i added and compared to the dividd one(not the patterned one) the ansers were so close, but off by one decimal at the end…what should i do?
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Did I Do My Math Homework Right?3 comments to Did I Do My Math Homework Right?Leave a Reply |
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I assume you are dividing these numbers on a calculator. A calculator can olny display a certain number a characters, so it rounds the last digit. If the next digit is going to be 5 or greater it, rounds the last digit displayed up. When you add a bunch of repeating decimals that were calculated using a calulator, you sometimes will get rounding error on the last digit or two compared to when you just do the division. Your repeating digit answers are correct. The ones with a different last didgit are due to rounding error on the calculator. Nothing you can do about it.
cause the 0.272727272727 was rounded up
Yes