Question

*A namometer is equal to 1 x 10 ^-9 meter. How is this value written in standard notation?*

A. 0.0000000001 m

B. 0.000000001 m

C. 1,000,000,000 m

D. 10,000,000,000 m

Answer 1

A nanometer is equal to 1 x 10^-9 meters, which, when written in standard notation, is 0.000000001 meters. This corresponds to option B.

Step-by-step explanation:

A nanometer is equal to 1 x 10^-9 meters. When we write this value in standard notation, we represent this as 0.000000001 meters. It's important to note that each move of one place to the left in the decimal system increases the exponent in scientific notation by one. So, if we start with 1 (which is 10^0) and want to move nine places to the left to represent a nanometer, we end up with 0.000000001, which is the equivalent of 10^-9.

Here's the conversion for different units for a better understanding:

• 1 meter (m)
• 1 decimeter (dm) = 0.1 m
• 1 centimeter (cm) = 0.01 m
• 1 millimeter (mm) = 0.001 m
• 1 micrometer (um) = 10^-6 m
• 1 nanometer (nm) = 10^-9 m
• 1 picometer (pm) = 10^-12 m

Thus, the value written in standard notation for a nanometer is 0.000000001 meters, which corresponds to option B.