Question
The area of the United States is 3,794,100 square miles. Which is the best estimation of this area?
3x10^6
3x10^7
4x10^6
4x10^7
4x10^8
3x10^6
3x10^7
4x10^6
4x10^7
4x10^8
Answers
GPT-4o mini
To find a good estimation of the area of the United States, which is 3,794,100 square miles, we can round the number for easier calculation.
The value 3,794,100 can be approximated as 3.8 million, or more succinctly, roughly 4 million when rounding to one significant figure.
Now, we need to express 4 million in scientific notation:
- 4 million = 4,000,000 = \(4 \times 10^6\)
Now let's compare this with the provided options:
- \(3 \times 10^6\) (3 million)
- \(3 \times 10^7\) (30 million)
- \(4 \times 10^6\) (4 million)
- \(4 \times 10^7\) (40 million)
- \(4 \times 10^8\) (400 million)
The best estimation for the area of the United States, which is approximately 3.8 million, is:
**\(4 \times 10^6\)**.
The value 3,794,100 can be approximated as 3.8 million, or more succinctly, roughly 4 million when rounding to one significant figure.
Now, we need to express 4 million in scientific notation:
- 4 million = 4,000,000 = \(4 \times 10^6\)
Now let's compare this with the provided options:
- \(3 \times 10^6\) (3 million)
- \(3 \times 10^7\) (30 million)
- \(4 \times 10^6\) (4 million)
- \(4 \times 10^7\) (40 million)
- \(4 \times 10^8\) (400 million)
The best estimation for the area of the United States, which is approximately 3.8 million, is:
**\(4 \times 10^6\)**.