Question

Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

There is more than one answer to this problem.


A.) 2.01 x 10 to the power of 7 and 4.25 x 10 to the power of 6


B.) 5.97 x 10 to the power of 4 and 3.12 x 10 to the power of 3


C.) 4.91 x 10 to the power of 6 and 5.09 x 10 to the power of 3


D.) 8.21 x 10 to the power of -3 and 4.13 x 10 to the power of -4


E.) 2.94 x 10 to the power of -8 and 6.22 x 10 to the power of -7



Please help me with this question and thanks!

:)

Answer 1

Option C, D, E

Explanation:

To find : Which pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number?

Solution :

We divide large number by smaller number to get the required answer,

A)
`(2.01* 10^7)/(4.25* 10^6)=4.7294\approx 4`

B)
`(5.97* 10^4)/(3.12* 10^3)=19.1346153846\approx 19`

C)
`(4.91* 10^6)/(5.09* 10^3)=9365.4033\approx 9365`

D)
`(8.21* 10^(-3))/(4.13* 10^(-4))=19.8789\approx 20`

E)
`(6.22 * 10^(-7))/(2.94* 10^(-8))=21.156462585\approx 21`

Option C, D and E pairs of numbers in scientific notation shows one number that is about 20 times as great as the other number.