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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=



Answer :

Part A

The mass of the dust particle is given below:

[tex]0.000000000778\operatorname{kg}[/tex]

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

[tex]\begin{gathered} 0.000000000778\operatorname{kg}=7.78\times10^{-10} \\ a=7.78 \\ b=-10 \end{gathered}[/tex]

Part B

The mass of the comet is given below:

[tex]544000000000000\operatorname{kg}[/tex]

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

[tex]\begin{gathered} 544000000000000\operatorname{kg}=5.44\times10^{15-1}\operatorname{kg} \\ =5.44\times10^{14} \\ a=5.44 \\ b=14 \end{gathered}[/tex]

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