OK Divide 10 by 3 and you get 3.333333333...\nbut, to check your answer,\n3.333333333...  times  3 is 9.999999999...\nwhere is the rest that would equal Ten?\nHow can you get it to equal 10 again?
125642
You cannot get back to ten from 3.333  it will not work. That fraction will always be missing. it got lost in the division. Anyone who says  that 3.33333 times 3 equals 10 is mistaken. If that were so, then why doesnt the calculator show 10 when you myultiply?  No, math is not as perfect and everyone brags it out to be.
138330
.9 repeating does in fact equal 1, and here is the easiest way to explain it.\n\nx = .9999999999999999999.....(so on and so forth)\nMultiply both sides by 10.\n10x  9.9999999999....(so on and so forth)\nSubtract the 2 equations from each other\n10x - x = 9x; 9.9999.....-.999999999..... = 9\nSolve for x by dividing 9 on both sides\n9x/9 = x; 9 / 9 = 1\nTherefore, .9 repeating does equal 1\n\n(And if you study Calculus, you will find that the limit of .9999.. as it approaches infinity does equal 1).
95348
Changed my mind folks. I thought about the actual question and realised it should be a combination question (geez we can tell who didn't do maths at school - me!)\n\nThe answer is\n\n10 x 9 x 8 = 720 divided by 3 x 2 x 1 = 6\n\nMakes the answer 120.\n\nLet me explainacate - (new word for you there)\n\nThere are ten cd's to choose from when you pull the first, 9 to choose from when you pull the second and 8 to choose from when you select the third.\n\nThen you divide it by 6, because the 3 CD's you did pull out could be listed in 6 different permutations, but they are still the same CD's\neg:\nabc, acb,bac, bca, cab, cba - listed different, but same content.\n\nTherefore, I agree with Tanny - It is a combination question and the answer is 120 for the reason outlined above.\n\n(excuse my previous idiot-ness) (another new word there folks)
370366
3√x times 3√x, this means you multiply 3√x to 3√x\n3√x * 3√x = (3*3)*(√x * √x)\n                = (9)*((x^(1/2)) * (x^(1/2)))\n                = (9)*((x^[(1/2)+(1/2)])\n                = (9)*((x^[1])\n                = (9)*x\n                = 9x\nWhich is not 9√x.\n\nI hope this makes clear.
508816
Start with the fixed part... 2.1 is 21/10.\n\nThe rest of the number is 0.036363636...\nLet's call that x.\n\nx = 0.036363636...\nNotice what happens if you multiply by 100.  I picked 100 because there are two repeating decimals.  If there were 1 you would pick 10, if 3, you would pick 1000, if 4 pick 10000, etc.\n100x = 3.6363636...\n.......x = 0.0363636...\n\nSubtract and the repeating decimals are cancelled:\n99x = 3.6\n\nMultiply by 10 to get rid of the last remaining decimal:\n990x = 36\n\nNow solve for x:\nx = 36/990\n\nNow you just need to add your two fractions:\n21/10 + 36/990\n\nGet a common denominator:\n21*99/990 + 36/990\n\n= (2079 + 36)/990\n= 2115/990\n\nNow reduce:\n= 235 / 110\n= 47 / 22\n= 2 3/22\n\nSo your answer is 2 and 3/22.\n\nYou can also do this in one step, without having to do the two parts:\n100x = 213.63636...\n.......x = .....2.13636...\n\nSubtracting:\n99x = 211.5\n\nMultiply by 10 to remove the decimal:\n990x = 2115\n\nSolve for x:\nx = 2115/990\nx = 47/22\nx = 2 3/22\n\nA final way, if you now understand the underlying math is to just do the following:\n\nPull out the part in front of the decimal (2)... just keep that for later.\n\nThe remaining part is 0.136363636... \nSince we have two repeating decimals, use two nines (99).  However, since it is offset by one fixed digit, add a trailing zero (990).\nTake the fixed digit (1) and subtract it from your number (136, ignoring anything but the first repeat).  This leaves 135.\n\nSo the fraction should be 135/990.  This reduces to 3/22.\n\nSo it becomes 2 and 3/22.\n\nAlways check that the final result makes sense.  Obviously the first part of the mixed fraction should match the decimal (2) and it does.  If you put 3/22 in your calculator, you get 0.1363636...\n\nThere's 3 different methods and they all give you 2 and 3/22.
510747
4 x 2 is 8 + 5 is 13 x 50 (NO CALCULATOR ALL MY HEAD :p)\nis 650 (10 x 50 is 500 3 x 50 is 150. 150 +500 is 650) + 1755 - 1993 is (ok i did use my calc. here :p) is 472. Yes, the first number is rite. But im 13... not 72... believe me...\n\nthen i did it again with 8, i got 812... im 13 so close enough...
423126
500007 is divisible by 3!\n\n166669 / 3333333
500424
bring the a's to one side... u then get 9a = 27 ... divide and answer is a = 3
459997
Have you tried these?  Surely you've been told that division by 0 isn't possible, so there's your answer for 7.  I'm not doing any others on Yahoo answers (too many at once), but if you really need help and are willing to do as much as possible for yourself I'll help you if you email h_chalker@yahoo.com.au, but nasty Maths teachers like me won't just hand you 7 answers on a plate!
517041
Ok, take it back.\n\nFlip the 6, turn it into a 9.  Move it over to the right hand side, move the 2 to an exponent over the 7.\n\n7^2 = 49.\n\nThat's it.
583125
3/5*10/9 = 2/3;  9/3 = 3 & 10/5 = 2; so b = 3/2 or 1-1/2.\n\nI don't think you wrote the first problem correctly...I think it is supposed to ber:  8/3b = 4/9.  The negatives are going to cancel each other out, so we can ignore them.\n\nso, then you have b = 4/9*3/8 = 4/8*3/9 = 1/2 * 1/3 = 1/6.
238519
Okay first of all you write it like this...\n(3.5-1.666~)/1.333~\nUsing fractions is easier in this case, so here it is.\n7/2-5/3= 21/6-10/6=11/6 division by a fraction is multiplication by the inverse, so multiply 11/6 by 3/4 and you get 33/24, which can be reduced to 11/8 (eleven-eigths)\n\nBy the way, it's spelled "parenthesis"
542292
OMG a math riddle I cant seem to answer!!!! :-)  Awesome. I cant sleep because now i want to knwo the anwer. And so i continue to try and solve it.\n\nBest i can come up with is 113  or 240 or 50-something..\nAlso maybe another number in the 100-n-teens\n\nI did find a 1-3-4 pattern aasuming the next number in 1-3-4-1 was a 3 but was unsure of how to continue it. (its1230 in the moring here)\n\nAnd again another possible patter 1-3-4-8 next number would be 16.\n\nI know some may not even know how I came up with these, but I love math and I love a challenge. I have been trying to find any possible correlation in the numbers that I can. \n\nHope someone figures it out. I know I cant wait to see the answer.
95376
A.) (4*3) / (11*10) = 0.10909090909090909090909090909091\nB.) (7*6) / (11*10) = 0.38181818181818181818181818181818\nC.) this can be treated in 3 cases:\n\n(i) both defective (similar to letter A)\n    (4*3) / (11*10) = 0.10909090909090909090909090909091\n\n(ii) first is defective second is not\n    (4*7) / (11*10) = 0.25454545454545454545454545454545\n\n(iii) first is not defective second is\n    (7*4) / (11*10) = 0.25454545454545454545454545454545\n\nTake the sum of the 3 cases and you'll get 0.61818181818181818181818181818091
219083
Let's see:\n\nI choose 3, then 3+3=6, 6+4=10, 10*1/2=5, 5-3=2!\n\ngood!
326311
you can work that in your head just by moving the point:\n10% is 443.7\n1% is 44.37\nso 443.7 + 44.37 + 44.37 = 532.44 !
593653
3x10^2 = 300 because 10^2 = 100\n3 x 10^(-1) = .3 because 10^(-1) = 1/10^1 = 1/10 = .1\n4 x 10^(-4) = .0004 because 10^(-4) = 1/10^4 = 1/10000 = .0001\n\nAll together it's 300.3004