To evaluate the students’ grasp of negative exponents, scientific notation, powers of 10, and order of magnitude,
the Class \(\text{VIII}\) teacher provided an assignment containing related questions.
a. An airplane is travelled at a speed of 3\(\times 10^{9}\) \(\text{km}\) in \(2\) \(\text{hours.}\)
Choose the correct negative exponent for the above value.
b. The weight of dew drop is \(0.00000039\) \(\text{kg}\)
Convert it into scientific notation.
c. If the mass of Earth is about \(5.9 \times 10^{22}\) \(\text{m}\)
Show it in expanded form
d. A population in a particular village is given as \(3.6 \times 10^{3}\)
Find its order of magnitude.