the best order-of-magnitude estimate for 0.00006?

- 10^-3
- 10^-4
- 10^-5 * my answer
- 10^-6


the best order-of-magnitude estimate for 789,000?
- 10^7
- 10^6
- 10^5
- 10^4 *my answer
I don't understand this quite well but I want to make sure my answers are correct. Thanks!

.00006 = 6*10^-5

I'd round up to 10^-4

789000 is almost a million, or 10^6
It is 7.89*10^5, so it rounds up to 1.0*10^6

stop cheating on ur test

To estimate the order-of-magnitude of a number, you need to determine the power of 10 that is closest to the number.

For the first question, 0.00006, notice that the number is greater than 0.00001 (10^-5) and less than 0.001 (10^-3). Since the question asks for the best estimate, the correct answer is 10^-4 because it is the closest power of 10 to the given number.

For the second question, 789,000, notice that the number is greater than 10,000 (10^4) and less than 1,000,000 (10^6). Again, the best estimate is the closest power of 10, which in this case is 10^5.

So, your answers are correct:

1. The best order-of-magnitude estimate for 0.00006 is 10^-4.
2. The best order-of-magnitude estimate for 789,000 is 10^5.