Rewrite the following statement using a number in scientific notation.
The diameter of a certain atom is about 0.28 nanometers.​ (Recall that​ nano- means​ "billionth.")

The diameter of a certain atom is about ? meters.


To express the diameter of the atom in meters using scientific notation:

Since 1 nanometer (nm) is equal to \(1 \times 10^{-9}\) meters, the diameter of the atom, which is 0.28 nanometers, can be converted to meters as follows:

\[
0.28 \, \text{nm} = 0.28 \times 10^{-9} \, \text{meters}
\]

Now, writing this in scientific notation:

\[
0.28 \times 10^{-9} = 2.8 \times 10^{-10} \, \text{meters}
\]

Therefore, the diameter of the atom is approximately \(2.8 \times 10^{-10}\) meters.

Would you like more details or have any questions?

Here are five related questions to explore this further:
1. How would you convert a larger unit like millimeters to scientific notation?
2. What is the diameter of an atom compared to a human hair, in scientific notation?
3. How do you multiply two numbers in scientific notation?
4. Can you convert 0.000045 meters to scientific notation?
5. How can you express 5 billion in scientific notation?

**Tip:** When converting to scientific notation, always express the coefficient as a number between 1 and 10.

Rewrite the following statement using a number in scientific notation. The diameter of a certain atom is about 0.28 nanometers.​ (Recall that​ nano- means​ 'billionth.') The diameter of a certain atom is about ? meters.

Learn how to convert the diameter of a certain atom, approximately 0.28 nanometers, into meters using scientific notation. This problem involves converting nanometers to meters and expressing the result in scientific notation, suitable for students in Grades 6-8.

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