A certain part of a flat-screen TV has a thickness of 150 nanometers. How many meters is this?

A. [tex]150 \times 10^{-3} \, m[/tex]
B. [tex]150 \times 10^{-1} \, m[/tex]
C. [tex]150 \times 10^{-6} \, m[/tex]
D. [tex]150 \times 10^{-9} \, m[/tex]



Answer :

To determine the thickness of a certain part of a flat screen TV, given as 150 nanometers, and convert it to meters, follow these steps:

1. Understand the Conversion Factor:
- 1 nanometer (nm) is equal to [tex]\( 10^{-9} \)[/tex] meters (m).

2. Convert Nanometers to Meters:
- Multiply the given thickness in nanometers by the conversion factor to convert it to meters.
- Given thickness: 150 nanometers
- [tex]\( 150 \text{ nanometers} = 150 \times 10^{-9} \text{ meters} \)[/tex]

Therefore, the thickness of the TV part in meters is [tex]\( 150 \times 10^{-9} \text{ meters} \)[/tex].

Given the options:
A. [tex]\( 150 \times 10^{-3} \text{ meters} \)[/tex]
B. [tex]\( 150 \times 10^{-1} \text{ meters} \)[/tex]
C. [tex]\( 150 \times 10^{-6} \text{ meters} \)[/tex]
D. [tex]\( 150 \times 10^{-9} \text{ meters} \)[/tex]

The correct answer is:
D. [tex]\( 150 \times 10^{-9} \text{ meters} \)[/tex].