Question

Select the correct answer.

A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?
A.
3.71 × 10-4 kilograms
B.
3.71 × 10-3 kilograms
C.
37.1 × 10-3 kilograms
D.
37.1 × 10-4 kilograms

Answer 1

D)
`37.1* 10^(-4) \ \textsf{kilograms}`

Explanation:

`7.42 * 10^(-10) *5 * 10^6`

`\implies 7.42 * 5 * 10^(-10) * 10^6`

`\implies 37.1* 10^(-10) * 10^6`

`\implies 37.1* 10^(-10+6)`

`\implies 37.1* 10^(-4)`