Question

Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.

How much longer is the diamter of Cell B than Cell A?

A. 1.6 x 10 ^-2

B. 1.6 x 10 ^-16

C. 4.14 x 10 ^-7

D. 4.14 x 10 ^-9

Answer 1

The diameter of Cell B is
`4.14 * 10^(-7) mm` longer than Cell A

Explanation:

Diameter of Cell A =
`5.8 * 10^(-9) mm`

Diameter of Cell B =
`4.2 * 10^(-7) mm`

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =
`5.8 * 10^(-9) = 5.8 * 10^(-7) * 10^(-2)=5.8 * 10^(-7) * (1)/(10^2) = 0.058 * 10^(-7)`

Diameter of Cell B =
`4.2 * 10^(-7) mm`

So, Difference in diameters =
`4.2 * 10^(-7) - (0.058 * 10^(-7))=4.14 * 10^(-7)`

So, Option C is true

Hence the diameter of Cell B is
`4.14 * 10^(-7) mm` longer than Cell A