Question

The relative error in a quotient is the sum of the relative errors in the dividend and divisor is

Answer 1

Step-by-step explanation:

confused in this question

Answer 2

Answer:

The statement "the relative error in a quotient is the sum of the relative errors in the dividend and divisor" is not generally true.

Step-by-step explanation:

The correct formula for the relative error in a quotient is:

relative error = (relative error in dividend) + (relative error in divisor)

divided by

(1 - (relative error in divisor))

In other words, the relative error in a quotient depends not only on the relative errors in the dividend and divisor, but also on the relative error in the divisor relative to 1. This is because when dividing by a number that is close to 0, even a small error in the divisor can have a large effect on the quotient.

For example, if the dividend is 10 with a relative error of 0.1 (i.e., an error of 1), and the divisor is 2 with a relative error of 0.2 (i.e., an error of 0.4), the relative error in the quotient is:

(0.1 + 0.2) / (1 - 0.2) = 0.375

So, the relative error in the quotient is not simply the sum of the relative errors in the dividend and divisor.

To learn more about error: https://brainly.in/question/6763905

To learn more about quotient: https://brainly.in/question/34624273

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