Convert 0.1 nm to m
Understand the Problem
The question is asking for a conversion of 0.1 nanometers to meters. A nanometer is a unit of length in the metric system equal to one billionth of a meter. To convert, we will multiply 0.1 by the conversion factor of 1e-9.
Answer
$1 \times 10^{-10}$
Answer for screen readers
The final answer is $1 \times 10^{-10}$ meters.
Steps to Solve
-
Identify the Conversion Factor
We know that 1 nanometer is equal to $1 \times 10^{-9}$ meters. -
Set Up the Conversion
To convert 0.1 nanometers to meters, we will multiply 0.1 by the conversion factor: $$ 0.1 \text{ nm} = 0.1 \times (1 \times 10^{-9} \text{ m}) $$ -
Perform the Calculation
Now, calculate the multiplication: $$ 0.1 \times 1 \times 10^{-9} = 0.1 \times 10^{-9} $$ -
Express the Result in Scientific Notation
To simplify, we can express $0.1$ as $1 \times 10^{-1}$. Therefore: $$ 0.1 \times 10^{-9} = 1 \times 10^{-1} \times 10^{-9} = 1 \times 10^{-10} \text{ m} $$
The final answer is $1 \times 10^{-10}$ meters.
More Information
This means that 0.1 nanometers is equivalent to $1 \times 10^{-10}$ meters, which can also be expressed as 0.0000000001 meters (ten decimal places). Nanometers are often used in contexts like measuring wavelengths of light or dimensions of atoms and molecules.
Tips
- Confusing the conversion factor: Remember that 1 nanometer equals $1 \times 10^{-9}$ meters, and not $1 \times 10^{-10}$. Ensure to use the correct conversion factor for accurate results.
