Question

Which of the following include exact numbers? a) The speed of light in a vacuum is a physical constant; to the nearest m/s, it is2.99792 ×108 m/s. b) The density of mercury at 25°C is 13.53 g/mL. c) There are 3600 s in 1h. d) In 2003, the United States had 50 states.

Answer 1

Step-by-step explanation:

Exact numbers are those numbers which are known with 100% certainty or accuracy . Numbers having decimal are generally not exact because they are a part of long drawn decimal number after rounding off to certain places after decimal.

On the basis of this definition we can say as follows

speed of light is 2.99792 ×108 . Here the number quoted is not an exact number because it is a rounded off figure of speed of light to five digits after decimal .

Similarly density of mercury too is rounded off to two digits after decimal

so it is also not a exact number.

There are 3600 s in 1 h . Here 3600 s is an exact number because one hour has been defined as 3600 s . It is not measured by any instrument.

In 2003, the United States had 50 states. Here 50 is an exact number .