Question

Find the relative error if 2/3 is approximated to 0.667

Answer 1

Answer:

0.0005

Step-by-step explanation:

Given  

Find the relative error if 2/3 is approximated to 0.667

ANSWER

Now given true value = 2/3 = 0.666666 and approximate value is 0.667.

We know that Absolute error Ea = l True value – approximate value l

                                                    = l 0.666666 – 0.667 l

                                                    = 0.00334

So Relative error will be Er = 0.00334 / 0.666666

                                           = 0.0005

So Relative error will be 0.0005

Answer 2

Answer:

The value of ⅔ = 0.666666 but it gets approximated to 0.667.

Now, the Absolute error here is = |Actual value - Approximated value|

= |0.666666 - 0.667|

= |−0.000334|

= 0.000334

Hence, the relative error = Absolute error/Actual Value

= 0.000334/0.666666

= 0.0005010005

= 0.0005

Now, percentage error = Relative error * 100%

= 0.0005 * 100

= 0.05%