Question

Select the correct answer.Consider these three numbers expressed in scientific notation: 2.4 x 104,6.3 105, and 9.6 x 10”. Which number is the greatest, and by howmany times Is It greater than the smallest number?OA. The greatest number is 9.6 % 10%. It is 400 times greater than the smallest number.ОВ.The greatest number is 6.3 x 105. It is 40 times greater than the smallest number.OCThe greatest number is 6.3 x 109. It is 400 times greater than the smallest numberODThe greatest number is 9.6 x 10'. It is 4,000 times greater than the smallest number.

Answer 1

We have the next numbers

$\begin{gathered} 2.4\cdot10^4 \\ 6.3^{}\cdot10^5 \\ 9.6\cdot10^7 \end{gathered}$

In this case, the greatest number will be the number that is multiplied by 10 a greater number of times.

So, the greatest number is 9.6 x 10^7,

Then, the smallest number will be the number that us multiplied by 10 a smaller number of times.

So, the smallest number is 2.4 x 10^4,

Now, to know the number of times that the greatest number is greater than the smallest number we must divide it

$\frac{9.6\cdot10^7}{2.4\cdot10^4}=4\cdot10^3=4000$

Finally, The greatest number is 9.6 × 10^7. It is 4,000 times greater than the smallest number. (Letter D).