Question

andi performs the calculation that is shown below.
(2.06)(1.743)(1.00)

How should the answer be reported using the correct number of significant figures?


A. 3.59
B. 3.591
C. 3.6
D. 4

Answer 1

the answer would be (A)

Answer 2

Answer : The correct option is, (A) 3.59

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The given expression is:

$(2.06)(1.743)(1.00)$

$\Rightarrow 3.59058$

In the given expression, 2.06 has 3 significant figures, 1.743 has 4 significant figures and 1.00 has 3 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

Thus, the answer will be $\Rightarrow 3.59$

Hence, the correct option is, (A) 3.59