Question

What is the percentage error in the approximation
\(3.14 \approx \pi\) (to one significant figure)?

Answer 1

The approximation 3.14 is about ½ percent off from the true value.

Answer 2

Approximation to 1 significant digit = 3.1

Now difference = 3.14 - 3.1 = 0.04

Now, percentage error = 0.04/3.14 * 100

Answer 3

i mean "what is the percentage error expressed to one significant figure"

Answer 4

Solution:

Absolute error Δx = | True value - Approximate value |
Δx = |3.14156 - 3.14| = 0.0056

Relative error = Δx / (True value) = 0.0056 / 3.14156 ≈ 0.00178255389

Percentage error = Relative error * 100% = 0.178255389 %

Answer 5

Ohh sorry

Answer 6

0.0015/3.1415*100 = 0.05%

Answer 7

@Muzzack pi ~3.1415(NINE)

Answer 8

@hartnn is correct, (even with mistake)
0.0015(NINE) or 0.0016

Answer 9

0.0015/3.1415*100 = 0.047% ~ 0.05%

0.00159/3.14159*100 = 0.05%