SOLUTION: Tim planted 45 of the 106 tree in the forestry project.what percent of the tree in the project did tim plant?.answer are rounded to nearest whole number. Show how u get answer plea

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Tim planted 45 of the 106 tree in the forestry project.what percent of the tree in the project did tim plant?.answer are rounded to nearest whole number. Show how u get answer plea      Log On


   

Question 969523: Tim planted 45 of the 106 tree in the forestry project.what percent of the tree in the project did tim plant?.answer are rounded to nearest whole number. Show how u get answer please
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
As a fraction, Tim planted 45%2F106 of the trees.
WE cannot simplify that fraction,
and we cannot write it as a fraction with a 100 for a denominator.
However, we can write a ratio, with a 100 for a denominator,
that is approximately equal to 45%2F106 .
If you divide 45 by 106 , you get 45%2F106=%220.42452830186679...%22 .
The digits will eventually repeat, but it may take up to 105 digits before we see a repetition.
I would just approximate it as
45%2F106=about0.42453=0.42453%2A100%2F100=42.453%2F100 .
That means that for every 100 trees that were to be planted,
Tim planted about 42.453 trees,
and that is the approximate percentage, %2242.453%25%22 .
To calculate a percentage,
you just divide to get the ratio as a decimal,
and then multiply times 100 .
which rounds to highlight%2842%29 ,
because 42 is closer to 42.453 than 43 .
So, we say that Tim planted highlight%28%2242%25%22%29 of the trees called for in the project.

NOTES:
A percentage is a ratio, which is sort-of a fraction.
If Joe had planted 85 out of 200 trees in a project,
he would have planted 85%2F200=0.425=42.5%2F100=425%2F1000 .
The fractions 85%2F200 and 425%2F1000 are equivalent fractions.
We cannot call 42.5%2F100 a fraction; we call it a ratio,
and we say that the ratios
85%2F200 , 42.5%2F100 , and 425%2F1000 are the same.
They are equal, they are equivalent.
In that case we would say that 85 out of 200 is %2242.5%25%22 ,
and if we had to round ti whole numbers, we would sat it's %2243%25%22 ,
because 42.5 is a s close to 42 as it is to 43 ,
but the usual custom is to always round up in those cases.
{if you have to get rid of a bunch of digits to round,
you look art the first digit you are discarding.
If it is 5 or more , you round up,
otherwise you round down>
So, 42.3251 rounds down to 42 , but 42.5 , 42.50112 and 42.637 round up to 43 .
(If the first digit after the decimal point is not 5 or more,
you just get rid of all digits after the decimal point,
and leave the 42 as is.
Otherwise you up the 42 to 43 ).