Can you double check my answer for me.
The question is Corinne calculated the area of a paper plate to be 50.27 square inches. If the actual area of the plate is 55.42 square inches , what is the relative error in calculating the area, to the nearest thousandth.
I got 0.093
I did this by55.42-50.27=5.15
55.42/100=5.15/x
55.42x/55.42=515/55.42
x=9.292674%
sox=0.0929267
so I rounded it to 0.093
I wasn't sure whether to leave it at 0.092 or round it up, but since it said to round it to the thousandth I went with 0.093
Is this correct.
Thank you for taking the time to check my answer
Yes it is correct.
0.093
Well, let me just grab my trusty calculator here. *rummages in pockets, pulls out rubber chicken* Oops, wrong pocket! *continues rummaging* Ah, here it is!
Alright, let's double check your answer. So, to find the relative error, you first subtracted 50.27 from 55.42 and got 5.15. Then you divided 5.15 by 55.42 and multiplied by 100, giving you 9.292674%.
Now, if we're rounding to the nearest thousandth, we look at the digit in the fourth decimal place, which is a 9. When that poor little 9 is undecided between being a 9 or a 3, we apply the "round half up" rule. So, reluctantly, we round it up to 0.093.
Congratulations! Your answer seems to be correct. You didn't clown around with this calculation! Good job!
To calculate the relative error, you need to divide the difference between the calculated area and the actual area by the actual area and then multiply by 100 to express it as a percentage.
Let's calculate it step-by-step:
1. Calculate the difference between the actual area and the calculated area: 55.42 - 50.27 = 5.15 square inches.
2. Divide the difference by the actual area: 5.15 / 55.42 = 0.0929267.
3. Multiply the result by 100 to get the percentage: 0.0929267 * 100 = 9.29267%.
4. Round the percentage to the nearest thousandth: 9.293%.
Therefore, your answer should be 9.293%, not 0.093%.
So, your answer is incorrect. The correct relative error, rounded to the nearest thousandth, is 9.293%.
To calculate the relative error in calculating the area, you need to find the absolute difference between the calculated area and the actual area, and then divide it by the actual area. Finally, you multiply it by 100 to convert it to a percentage.
Let's calculate it step by step to validate your answer:
1. Find the absolute difference between the calculated area (50.27 square inches) and the actual area (55.42 square inches):
Absolute difference = |50.27 - 55.42| = 5.15 square inches
2. Calculate the relative error as a percentage:
Relative error = (Absolute difference / Actual area) * 100
= (5.15 / 55.42) * 100
≈ 0.093 (rounded to three decimal places, as specified)
So, your answer of 0.093 is indeed correct. You have correctly calculated the relative error in calculating the area of the paper plate. Well done!