Question

Compute 4.62 × 4.48697. Round the answer appropriately

Answer 1

Answer : The correct answer is, 20.7

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:

$(4.62)\times (4.48697)$

$\Rightarrow 20.7298014$

$\Rightarrow 20.7$

In the given expression, 4.62 has 3 significant figures, 4.48697 has 6 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 $\Rightarrow 20.7$

Answer 2

Your answer is 20.7298014