Question

Why including more digits in answer does not make it more accurate?

Answer 1

Answer:

it does make the answer accurate, for instance, take the value of pi---- we already know it to the thousandth decimal, but we want more clarity.

but the digits gotta be correct, maybe while making the answer "more accurate", you did some mistake somewhere. but be used to rounding off, they make your work easy and precise.

Answer 2

Concept introduction:

The metric becomes less accurate as the unit length grows. Precision also depends on how many decimal places are used in the measurement. A time of $12.1$ seconds denotes a measure that is accurate to the closest tenth of a second, making it more precise than a time of $12$ seconds.

Explanation:

Given that, including more digits in answer does not make it more accurate

We have to find, why including more digits in answer does not make it more accurate.

According to the question,

The precision of the answer does not necessarily increase as the number of digits increases. Since the correctness of the solution or response only depends on the accuracy of the physical measurement on which the solution or answer is based.

Final Answer:

Significant digits are used to define precision and accuracy. While precision is determined by where the final significant digit is located, accuracy is determined by the number of significant digits.

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