# Thread: [SOLVED] Accuracy &amp; Error

1. ## [SOLVED] Accuracy &amp; Error

Hi Everyone,

Just a quick question regarding Accuracy & Error.

We have been doing this for a little while (University) and I'm slightly confused with one of the problems.

I am able to do something like this and achieve the working and answer:

Code:
(7.3 ± 0.4) x (1.2 ± 0.6)    /     (5.4 ± 1.3)

ie: 1.3 * 5.4 = 7.02

0.6/1.3 = 0.46
1.3/5.4 = 0.24

Square root of: 0.46^2 + 0.24^2 = 0.52

= 0.52 * 7.02 = 3.65 to take it out of fractional error form

= (7 ± 3.6) / (5.4 ± 1.3)

= 7/5.4 = 1.29

3.6/7 = 0.51

1.3/5.4 = 0.24

= square root of: 0.51^2 + 0.24^2 = 0.56

= 0.56 * 1.29= 0.7 (to take it out of fractional error form)

ans = (1.3 ± 0.7) * 10^4 etc
However, when presented with this, I am not sure how to approach it:

1. The problem statement, all variables and given/known data
Code:
(102 ± 32)^5
2. The attempt at a solution
I'm just not sure what to do to it... The answer is:
Code:
 (1.1 ± 0.8) * 10^10
Just not sure how to get there, any help?

EDIT: SOLVED - Was being silly!

2. Originally Posted by cold-peak
Hi Everyone,

Just a quick question regarding Accuracy & Error.

We have been doing this for a little while (University) and I'm slightly confused with one of the problems.

I am able to do something like this and achieve the working and answer:

Code:
(7.3 ± 0.4) x (1.2 ± 0.6)    /     (5.4 ± 1.3)

ie: 1.3 * 5.4 = 7.02

0.6/1.3 = 0.46
1.3/5.4 = 0.24

Square root of: 0.46^2 + 0.24^2 = 0.52

= 0.52 * 7.02 = 3.65 to take it out of fractional error form

= (7 ± 3.6) / (5.4 ± 1.3)

= 7/5.4 = 1.29

3.6/7 = 0.51

1.3/5.4 = 0.24

= square root of: 0.51^2 + 0.24^2 = 0.56

= 0.56 * 1.29= 0.7 (to take it out of fractional error form)

ans = (1.3 ± 0.7) * 10^4 etc
However, when presented with this, I am not sure how to approach it:

1. The problem statement, all variables and given/known data
Code:
(102 ± 32)^5
2. The attempt at a solution
I'm just not sure what to do to it... The answer is:
Code:
 (1.1 ± 0.8) * 10^10
Just not sure how to get there, any help?

EDIT: SOLVED - Was being silly!
You may have solved your problem, but if in future you need help try to