Problem 7Q

What limits the number of significant digits in a calculation involving only multiplication and division?

Solution: Here, we are going to find the limiting factor of the number of significant digits in a calculation involving only multiplication and division.

Step1:

In multiplication or division, the final result should be reported up to the same number of significant numbers as are present in the term with the least number of significant figures.

Step2:

For example if we multiply 2.415(having four significant figures) with 1.30(having three significant figures), the result comes out to be 3.1395. But according to the rule, the answer must be reported with three significant figures. Therefore, the correct answer is 3.13.

2.415 x 1.30 = 3.1395

The correct answer is 3.13 (3 significant figures)

------------------------