The radius of the planet Neptune is approximately 15,300 miles. How is this numbr of miles written in scientific notation?

answers:

0.153 x 10^5

0.153 x 10^-5

1.53 x 10^4

1.53 x 10^-4

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To express the radius of Neptune (15,300 miles) in scientific notation, we move the decimal point so that there is only one non-zero digit to the left of the decimal point.

15,300 can be written as 1.53 x 10^4, because we moved the decimal point four places to the left.

Therefore, the correct answer is:

1.53 x 10^4

anonymous anonymous answered
2 hours ago
you sure
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Yes, I'm sure.

To express 15,300 in scientific notation:

  1. Identify the significant digits: 1.53 (we take the first significant digit, which is 1, followed by the next digit, which is 5).
  2. Move the decimal point in 15,300 to the left until you have a number between 1 and 10. This is done by moving it four places to the left, yielding 1.53.
  3. Count how many places you moved the decimal: 4 places.
  4. Therefore, we multiply by \(10^{4}\).

Thus, 15,300 miles in scientific notation is correctly expressed as:

1.53 x 10^4

If you have any further questions or need clarification, feel free to ask!