Question

3 Which pairs of numbers in scientific notation show one number that is about

20 times as great as the other number?

Choose all that apply.

A

B

C

D

E

2.01 X 10' and 4.25 X 106

5.97 X 104 and 3.12 X 103

4.91 X 106 and 5.09 X 103

8.21 X 10-3 and 4.13 x 10-4

2.94 x 10-8 and 6.22 x 10-7

Answer 1

`8.21* 10^(-3)\text{ and }4.13* 10^(-4)`

Explanation:

Since,

`(4.25* 10^6)/(2.01* 10^1)=211442.78607\approx 211443`

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

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

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

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

Note : In every option we put greater number as numerator because 20 > 1.

If we take denominator greater than we can not obtained a number greater than 1.