Question

Solve the problems. Express your answers to the correct number of significant figures.

(2.08 x 10^3) x (3.11 x 10^2) = ____ x 10^5

Answer 1

The value of the given expression in correct number of significant figures:

`(2.08* 10^3)* (3.11* 10^2)`

= [/tex]6.47\times 10^5[/tex]

Step-by-step explanation:

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 rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

We have :

`(2.08* 10^3)* (3.11* 10^2)`

`=2.08* 3.11* 10^(3+2)`

`=6.4688* 10^5\approx 6.47* 10^5`