Question

Eric measured the height of a window frame as 5.43 feet, but the actual height was 6 feet. What is the percentage of error in Eric's measurement?

9.50%
10.52%
11.28%
12.43%

Answer 1

@phi

Answer 2

@Elsa213 @dan815 @BioHazard9064

Answer 3

Start by setting up a fraction

Answer 4

Since six is the whole, it will be your base, just like saying the frame was 5.43 feet out of six

Answer 5

I get that part but would u have to multiply?

Answer 6

Well let's look at an easier version of the problem. If I have 67 cents, what percent of a dollar do I have?

Answer 7

My answer was c btw

Answer 8

That's not what I got

Answer 9

0% ?

Answer 10

Well there are 100 cents in one dollar, and we have 67 out of 100, or 67/100

Answer 11

In decimal form that is 0.67. To convert to a percent we would move the decimal place to the right two points, or multiply by 100

Answer 12

Your problem is similar, except we're looking for a percent difference between his measurement and the actual dimensions. So we can say 5.43/6

Answer 13

This will give you what percent of the window he measured, to get the percent difference, you can subtract that answer from 100. You should get 9.5%

Answer 14

***5.43 feet, but the actual height was 6 feet. What is the percentage of error***
before finding the percent error, you need to find the error in feet

For example, if he measured 6 ft he would be exactly right, and have 0 error
if he measured 5 ft, he would be off by 1 foot. the error would be 1 ft

here the error is the difference between 6 and 5.43
6.00 - 5.43 = 0.57

now we can find percent error: first find the fraction error/true
0.57/6.00

second, change that to a decimal. (hopefully you know how to do that)
you get 0.095

third, change a decimal to a percent. (per cent is Latin for "per one hundred")
multiply top and bottom by 100:
\[ \frac{0.095}{1} \cdot \frac{100}{100} = \frac{9.5}{100} \]
that shows 9.5 per hundred, which we can also write as 9.5%
(the % means per hundred, i.e. divide by 100)