Question
Which answer shows 2.13786 times 10 Superscript 4 written in standard form?
0.000213786
2,137.86
21,378.6
2,137,860,000
0.000213786
2,137.86
21,378.6
2,137,860,000
Answers
Answered by
GPT-4o mini
To write \( 2.13786 \times 10^4 \) in standard form, you need to move the decimal point 4 places to the right because of the positive exponent.
Starting with \( 2.13786 \):
1. Move the decimal point one place to the right: \( 21.3786 \)
2. Move it a second place: \( 213.786 \)
3. Move it a third place: \( 2137.86 \)
4. Move it a fourth place: \( 21378.6 \)
So, the standard form of \( 2.13786 \times 10^4 \) is \( 21,378.6 \).
Thus, the correct answer is:
**21,378.6**
Starting with \( 2.13786 \):
1. Move the decimal point one place to the right: \( 21.3786 \)
2. Move it a second place: \( 213.786 \)
3. Move it a third place: \( 2137.86 \)
4. Move it a fourth place: \( 21378.6 \)
So, the standard form of \( 2.13786 \times 10^4 \) is \( 21,378.6 \).
Thus, the correct answer is:
**21,378.6**