help! I'm confused?? I'm not cheating for answers? just need this clarified?

Question

ok i asked a question yesterday about percentages and i got
this is the problem i asked:
''in year 1996 the net income for such and such a family was $43,000 and now in 2007, it has risen to $60,000 (i just made up that statistic)
by how much percent did it raise? questions like those! how do i calculate to figure out that answer? what are the steps? please!!! i'm eager to know!!!!''
so i got the answer which was
''60000 MINUS 43000 = 17000 DIVIDED BY 43000 =.395348 OR 39.5348 INCREASE TO CHECK MULTIPLY 1.395348 TIMES 43000= 59999.964 OR NEARLY 60000 SO WAGES HAVE RISEN BY 39.5348. THE ACTUAL INCREASE IS 39.5348837''

the only problem is about the answer is that when they divided
17000 BY 43000 , they got 395348 !!! but when i did it on pen and paper, i got http://www.webmath.com/cgi-bin/dividewrap.cgi?divisor=43000÷nd=17000&back=divide.html

I'm taking a test on problems such as these and we are not allowed to use calculators! so how can i get that same

irrational number if i do it the long division way?

Answer 1

17000
----------
43000

First get rid of as many zeros as you can:

17
----
43

now divide it:

17 / 43

Now 43 can't go into 17 so

170 / 43

43 * 3 - 129

so we have 0.3 * (170-129)/43
or 0.3 * (41/43)

Now do the same for 41/43 and keep going, it is just long division, you need to learn how to do long division with decimals not rem aiders, remainders are worthless.

Answer 2

let say in 1996 income was $43000 is 100%
.. then in 2007 income is.... $60000 is (x)% of $43000 ?

Math: (60000/43000)100% = 139.53%

or in 2007 the income has been raised up compare to year 1996 by

139.53%-100%=39.53% or 40%

for the answer, the numbers after the decimal point represent how accurate the answer would be.

the answer should be as accurate as the given facts. in the problem, the income is in the whole number, so your answer in percentage can be round off to the whole number.

rule of thumb is: giving your answer to the same decimal number as the given facts.

Answer 3

You have no choice but to divide 43 into 17.000000. The number of zeroes should be told to you as the degree of accuracy needed. Since you have to go through the long division process, I would think the teacher would have mercy and say you need to find the % only to the nearest tenth of a percent. This way you would need only to divide 43 into 17.00 and then round to the nearest tenth for an answer of 39.5%