Calculating Percent Error

MathematicsRatios and ProportionsEasy

Published:

Topic 3 Assessment

POSSIBLE POINTS: 1

Aiden estimates that the length of a piece of rope is $7.2$ inches. If its actual length is $6.5$ inches, what is the percent error of Alden's estimate?

A) $7\%$

B) $9.72\%$

C) $10.77\%$

D) $58\%$

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

In this problem, Aiden estimates a rope's length to be seven point two inches, but the actual length is six point five inches. We need to find the percent error of this estimate.

Percent Error Calculation

2
Step 2

First, let's identify our known values. The estimated value is seven point two and the actual value is six point five.


$$Estimate (E) = 7.2\text{ inches}$$
$$Actual (A) = 6.5\text{ inches}$$
3
Step 3

To find the percent error, we use the formula: the absolute difference between the estimate and actual value, divided by the actual value, all multiplied by one hundred percent.

The Formula

$$\%\text{ Error} = \frac{|\text{Estimate} - \text{Actual}|}{\text{Actual}} \times 100\%$$
4
Step 4

Now, let's plug in our numbers. We subtract six point five from seven point two in the numerator and put six point five in the denominator.

The rest of this solution is on Solvi

4 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Mathematics
Topic
Ratios and Proportions
Difficulty
Easy
Question Type
Multiple Choice

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get