Carter measures a line to be 3.19cm long. If the actual measurement is 3cm, find Carter's relative error to the nearest hundredth. Answer:

Understand relative error: Understand the concept of relative error. Relative error is the absolute error divided by the actual measurement, often expressed as a percentage. The absolute error is the difference between the measured value and the actual value.Calculate absolute error: Calculate the absolute error. The absolute error is the difference between Carter's measurement and the actual measurement. Absolute Error = |Measured Value - Actual Value| = |3.19 cm - 3 cm| = 0.19 cmCalculate relative error: Calculate the relative error. Relative Error = (Absolute Error / Actual Value) * 100% (to express it as a percentage) Relative Error = (0.19 cm / 3 cm) * 100% = 6.333...%Round relative error: Round the relative error to the nearest hundredth. Relative Error ≈ 6.33%

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Carter measures a line to be
3.19cm long. If the actual measurement is
3cm, find Carter's relative error to the nearest hundredth.
Answer:

Carter measures a line to be $3.19 \mathrm{~cm}$ long. If the actual measurement is $3 \mathrm{~cm}$ , find Carter's relative error to the nearest hundredth. $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Find trigonometric functions using a calculator

Full solution

Q. Carter measures a line to be

3.19 \mathrm{~cm}

long. If the actual measurement is

3 \mathrm{~cm}

, find Carter's relative error to the nearest hundredth.

\newline

Answer:

Understand relative error: Understand the concept of relative error. Relative error is the absolute error divided by the actual measurement, often expressed as a percentage. The absolute error is the difference between the measured value and the actual value.
Calculate absolute error: Calculate the absolute error. $\newline$ The absolute error is the difference between Carter's measurement and the actual measurement. $\newline$ Absolute Error = $|\text{Measured Value} - \text{Actual Value}| = |3.19 \, \text{cm} - 3 \, \text{cm}| = 0.19 \, \text{cm}$
Calculate relative error: Calculate the relative error. $\newline$ Relative Error = $(\text{Absolute Error} / \text{Actual Value}) \times 100\%$ (to express it as a percentage) $\newline$ Relative Error = $(0.19 \, \text{cm} / 3 \, \text{cm}) \times 100\%$ = $6$ . $333$ ...\%
Round relative error: Round the relative error to the nearest hundredth. $\newline$ Relative Error $\approx 6.33\%$