gahm8684
  • gahm8684
Hi I've been trying this problem for 3 times, but still don't get it. This is my last try, so i would appreciate someone clarifying this problem for me
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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gahm8684
  • gahm8684
How many significant figures would be re- tained in the solution to [(2 + 0.0031) + (413 / 12)]×(2.45×1.83) = 1. three 2. two 3. zero 4. five 5. one 6. four
gahm8684
  • gahm8684
I know is not 5 even though the 2 is one digit
gahm8684
  • gahm8684
also know is not zero because there are numbers with higher digits than 0

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gahm8684
  • gahm8684
and finally I know is not five just because
gahm8684
  • gahm8684
so my only possible answers are: number 1, or number 2
Hero
  • Hero
http://www.usca.edu/chemistry/genchem/sigfig2.htm
gahm8684
  • gahm8684
that doesn't really help
gahm8684
  • gahm8684
i was there already
Hero
  • Hero
According to the link above the following information is relevant to your problem. When adding or subtracting numbers, count the NUMBER OF DECIMAL PLACES to determine the number of significant figures. The answer cannot CONTAIN MORE PLACES AFTER THE DECIMAL POINT THAN THE SMALLEST NUMBER OF DECIMAL PLACES in the numbers being added or subtracted. When multiplying or dividing numbers, count the NUMBER OF SIGNIFICANT FIGURES. The answer cannot CONTAIN MORE SIGNIFICANT FIGURES THAN THE NUMBER BEING MULTIPLIED OR DIVIDED with the LEAST NUMBER OF SIGNIFICANT FIGURES. This information tells exactly how to figure out the correct answer. Takes a bit of work on your part, but yes you can figure it out.
gahm8684
  • gahm8684
yeah I know, so the answer would be to solve the equation, and since the 2 has only 1 digit or significant figure the answer would be round to one digit
gahm8684
  • gahm8684
this means the equation would equal to 200
Hero
  • Hero
What equation? Equations have equal signs.
gahm8684
  • gahm8684
However the answer is not 1(or number 5)
gahm8684
  • gahm8684
I meant problem, I'm sorry
gahm8684
  • gahm8684
Maybe i read the question wrong, but thats what I need a guide
Hero
  • Hero
Explain how you went about eliminating options.
gahm8684
  • gahm8684
I tried #5, and it was wrong. I know that it is not five digits because there is no number with 5 digits, and if there was there is numbers with less digits.
gahm8684
  • gahm8684
and I'm not sure why it can't be three, two, or four digits
Hero
  • Hero
What was the result you got before rounding up to 200 (which you should not have done).
gahm8684
  • gahm8684
163.2880239
Hero
  • Hero
Mind showing how you got that step by step?
gahm8684
  • gahm8684
I plot the whole problem in the calculator
Hero
  • Hero
No, you shouldn't have.
gahm8684
  • gahm8684
but I know I first would have to solve whats inside the keys
gahm8684
  • gahm8684
or i don't know what they are called in english
Hero
  • Hero
You have to perform each operation one step at a time while following the rules for significant digits.
gahm8684
  • gahm8684
alright so: ((2+0.0031)+(41/12)=40
gahm8684
  • gahm8684
because i had to round up
gahm8684
  • gahm8684
to one digit right?
gahm8684
  • gahm8684
now I solve the whole thing 40×(2.45×1.83)=179.34
gahm8684
  • gahm8684
then I have to round up to 1 digit since 40 mis the lowest significant figure and it only has one digit
gahm8684
  • gahm8684
this means 179.34 rounds up to 200
gahm8684
  • gahm8684
right?
Hero
  • Hero
You should follow ORDER of OPERATIONS. Multiply BEFORE adding from left to right.
gahm8684
  • gahm8684
(2 + 0.0031) + (413 / 12)]×(2.45×1.83) =[(2+0.0031)+(413/12)]x(4.4835)
gahm8684
  • gahm8684
is that what you meant?
Hero
  • Hero
Okay, yes, we should keep track of parentheses as well. You should have gotten 4.48 for (2.45×1.83)
gahm8684
  • gahm8684
oh right because there is 3 digits in there
gahm8684
  • gahm8684
make sense
Hero
  • Hero
The result can only be accurate to two decimal places.
Hero
  • Hero
For that operation
gahm8684
  • gahm8684
[(2.0031)+(34.42)]x(4.4835)
Hero
  • Hero
The result of an operation can only be accurate to the number with the least amount of decimal places. In other words, you should not have decimal places when dividing whole numbers.
gahm8684
  • gahm8684
[(2+0.0031)+(34)]x(4.4835)
gahm8684
  • gahm8684
now I add the ones inside, right?
Hero
  • Hero
Yep, but add according to the rules.
gahm8684
  • gahm8684
it would be 2.0
gahm8684
  • gahm8684
i mean 2
gahm8684
  • gahm8684
the lowest is 2 thats why, so 2+34=36=40
gahm8684
  • gahm8684
[40]x(4.48)=179.2
Hero
  • Hero
What rule says to round 36 to 40?
gahm8684
  • gahm8684
40 has only 1 digit. I rounded to one digit because of the two
Hero
  • Hero
How many significant figures does 4.48 have?
gahm8684
  • gahm8684
3
Hero
  • Hero
By the way, you shouldn't round 36 to 40.
gahm8684
  • gahm8684
alright
gahm8684
  • gahm8684
so 36(4.48)=180
Hero
  • Hero
36 has two significant digits which means our result should have only two significant digtts.
gahm8684
  • gahm8684
let me try, I'm gonna submit
gahm8684
  • gahm8684
Yes! it was 2 thank you so much
gahm8684
  • gahm8684
you helped me understanding it. The calculator is worthless!
Hero
  • Hero
The calculator does not know how to deal with significant digits unless you program it to do so.
gahm8684
  • gahm8684
but i guess there is some calculators that do, right?
Hero
  • Hero
Perhaps Wolfram Alpha does, but you would still have to use a special program for it. It won't do it automatically.
Hero
  • Hero
The calculator doesn't know you want to round to significant digits.
gahm8684
  • gahm8684
yeah of course
Hero
  • Hero
Good luck with the rest of your homework. Have a good one.
gahm8684
  • gahm8684
Thank you! you too

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