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

- gahm8684

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- 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

I know is not 5 even though the 2 is one digit

- gahm8684

also know is not zero because there are numbers with higher digits than 0

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## More answers

- gahm8684

and finally I know is not five just because

- gahm8684

so my only possible answers are: number 1, or number 2

- Hero

http://www.usca.edu/chemistry/genchem/sigfig2.htm

- gahm8684

that doesn't really help

- gahm8684

i was there already

- 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

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

this means the equation would equal to 200

- Hero

What equation? Equations have equal signs.

- gahm8684

However the answer is not 1(or number 5)

- gahm8684

I meant problem, I'm sorry

- gahm8684

Maybe i read the question wrong, but thats what I need a guide

- Hero

Explain how you went about eliminating options.

- 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

and I'm not sure why it can't be three, two, or four digits

- Hero

What was the result you got before rounding up to 200 (which you should not have done).

- gahm8684

163.2880239

- Hero

Mind showing how you got that step by step?

- gahm8684

I plot the whole problem in the calculator

- Hero

No, you shouldn't have.

- gahm8684

but I know I first would have to solve whats inside the keys

- gahm8684

or i don't know what they are called in english

- Hero

You have to perform each operation one step at a time while following the rules for significant digits.

- gahm8684

alright so: ((2+0.0031)+(41/12)=40

- gahm8684

because i had to round up

- gahm8684

to one digit right?

- gahm8684

now I solve the whole thing 40×(2.45×1.83)=179.34

- gahm8684

then I have to round up to 1 digit since 40 mis the lowest significant figure and it only has one digit

- gahm8684

this means 179.34 rounds up to 200

- gahm8684

right?

- Hero

You should follow ORDER of OPERATIONS. Multiply BEFORE adding from left to right.

- gahm8684

(2 + 0.0031) + (413 / 12)]×(2.45×1.83) =[(2+0.0031)+(413/12)]x(4.4835)

- gahm8684

is that what you meant?

- Hero

Okay, yes, we should keep track of parentheses as well. You should have gotten 4.48 for (2.45×1.83)

- gahm8684

oh right because there is 3 digits in there

- gahm8684

make sense

- Hero

The result can only be accurate to two decimal places.

- Hero

For that operation

- gahm8684

[(2.0031)+(34.42)]x(4.4835)

- 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

[(2+0.0031)+(34)]x(4.4835)

- gahm8684

now I add the ones inside, right?

- Hero

Yep, but add according to the rules.

- gahm8684

it would be 2.0

- gahm8684

i mean 2

- gahm8684

the lowest is 2 thats why, so 2+34=36=40

- gahm8684

[40]x(4.48)=179.2

- Hero

What rule says to round 36 to 40?

- gahm8684

40 has only 1 digit. I rounded to one digit because of the two

- Hero

How many significant figures does 4.48 have?

- gahm8684

3

- Hero

By the way, you shouldn't round 36 to 40.

- gahm8684

alright

- gahm8684

so 36(4.48)=180

- Hero

36 has two significant digits which means our result should have only two significant digtts.

- gahm8684

let me try, I'm gonna submit

- gahm8684

Yes! it was 2 thank you so much

- gahm8684

you helped me understanding it. The calculator is worthless!

- Hero

The calculator does not know how to deal with significant digits unless you program it to do so.

- gahm8684

but i guess there is some calculators that do, right?

- Hero

Perhaps Wolfram Alpha does, but you would still have to use a special program for it. It won't do it automatically.

- Hero

The calculator doesn't know you want to round to significant digits.

- gahm8684

yeah of course

- Hero

Good luck with the rest of your homework. Have a good one.

- gahm8684

Thank you! you too

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