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Let's break down the two parts of this question.

### (a) Write the number in standard notation:
The given number is \(1.21 \times 10^5\) kilometers. To convert this to standard notation, we move the decimal point 5 places to the right.

\[
1.21 \times 10^5 = 121,000 \, \text{kilometers}
\]

So, the answer to (a) is:

\[
\boxed{121,000} \, \text{kilometers}
\]

### (b) Write the number in scientific notation:
The given number is 0.000621 meters. To express this in scientific notation, we move the decimal point 4 places to the right, making the number \(6.21 \times 10^{-4}\).

So, the answer to (b) is:

\[
\boxed{6.21 \times 10^{-4}} \, \text{meters}
\]

Would you like any further clarification or additional details?

Here are 5 related questions you might find interesting:
1. How do you convert a number from scientific notation to standard form and vice versa?
2. What is the significance of the power of 10 in scientific notation?
3. How is scientific notation useful in astronomical calculations?
4. Can you demonstrate converting very large or small numbers without a calculator?
5. How would you write \(6.21 \times 10^{-4}\) in terms of millimeters?

**Tip**: Always remember, in scientific notation, a positive exponent moves the decimal to the right, while a negative exponent moves it to the left.

The diameter of Saturn at its equator is approximately 1.21 × 10^5 kilometers. Write this number in standard notation. An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.000621 meters. Write this number in scientific notation.

Learn how to convert Saturn's diameter from scientific to standard notation and express an astronomer's infrared telescope wavelength in scientific notation. Suitable for middle school students, this problem covers key math concepts including exponents and scientific notation.

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