The mass of the dust particle can be written in the form a x 10b kg, where a= and b=the mass of the comet can be written in the form of a x 10b kg,where a = and b=

Question

asked Dec 21, 2023 138k views

1 Answer

Davide Quaglio · Answer 1 · 2023-12-27T09:06:22+0000

Part A

The mass of the dust particle is given below:

$0.000000000778\operatorname{kg}$

There are 10 zeros before the first non-zero digit. Therefore:

$\begin{gathered} 0.000000000778\operatorname{kg}=7.78*10^(-10) \\ a=7.78 \\ b=-10 \end{gathered}$

Part B

The mass of the comet is given below:

$544000000000000\operatorname{kg}$

There are a total of 15 digits in the number. Therefore:

$\begin{gathered} 544000000000000\operatorname{kg}=5.44*10^(15-1)\operatorname{kg} \\ =5.44*10^(14) \\ a=5.44 \\ b=14 \end{gathered}$