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!
http://en.wikipedia.org/wiki/Order_of_magnitude
So the first one would be 10^-6 and the second one would be 10^6 ?
For the second answer, it's B. I believe
To determine the order-of-magnitude estimate for a number, you need to identify the power of 10 that is closest to the given value.
For the first question, 0.00006:
- The closest power of 10 smaller than 0.00006 is 10^-4.
- The closest power of 10 larger than 0.00006 is 10^-5.
Since 10^-5 is closer to 0.00006, the best order-of-magnitude estimate for 0.00006 is 10^-5.
For the second question, 789,000:
- The closest power of 10 smaller than 789,000 is 10^5.
- The closest power of 10 larger than 789,000 is 10^6.
Since 10^6 is closer to 789,000, the best order-of-magnitude estimate for 789,000 is 10^6.
Therefore, your answer for the first question, 10^-5, is correct. However, your answer for the second question, 10^4, is incorrect. The correct answer is 10^6.
Remember that in order-of-magnitude estimation, you're looking for the closest power of 10 to the given value, either larger or smaller.