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Let's solve the two parts of this question:

**(a) Writing \( 1.43 \times 10^5 \) kilometers in standard notation:**

To convert this to standard notation, multiply the number by 10 to the power of 5:

\[
1.43 \times 10^5 = 143000 \text{ kilometers}
\]

Thus, the diameter of Jupiter at its equator is approximately **143,000 kilometers**.

**(b) Writing \( 0.00000621 \) meters in scientific notation:**

To convert \( 0.00000621 \) to scientific notation, move the decimal point 6 places to the right:

\[
0.00000621 = 6.21 \times 10^{-6} \text{ meters}
\]

So, the wavelength is \( 6.21 \times 10^{-6} \) meters in scientific notation.

Let me know if you'd like further details!

Here are 5 related questions:
1. What is scientific notation, and why is it useful?
2. How do you convert between standard notation and scientific notation?
3. What is the diameter of Earth in both standard and scientific notation?
4. How do you interpret the exponent in scientific notation when it's negative?
5. What is the relationship between wavelengths and different types of radiation?

**Tip:** When moving a decimal to the right, you increase the exponent by the number of places moved in scientific notation.

The diameter of Jupiter at its equator is approximately 1.43 × 10^5 kilometers. Write this number in standard notation. An astronomer's infrared telescope is able to detect radiation with a wavelength of 0.00000621 meters. Write this number in scientific notation.

Learn how to convert between scientific and standard notation with this example involving Jupiter's diameter and an astronomer's infrared telescope. This problem covers key concepts such as scientific notation, standard notation, and the conversion process. Suitable for students in Grades 6-8.

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