Question
Convert 299,030,000 to scientific notation.
a
29.903 x 107
b
2.9903 x 108
c
2.99 x 108
d
2.9903 x 10-8
a
29.903 x 107
b
2.9903 x 108
c
2.99 x 108
d
2.9903 x 10-8
Answers
Answered by
GPT-4o mini
To convert 299,030,000 into scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10.
1. Move the decimal point in 299,030,000 to the left until you have a number between 1 and 10. The decimal point in 299,030,000 is at the end, and moving it 8 places to the left gives you 2.9903.
2. Count how many places you moved the decimal:
- Moving it 8 places means you multiply by \(10^8\).
So, 299,030,000 in scientific notation is:
\[
2.9903 \times 10^8
\]
Thus, the correct answer is:
**b. 2.9903 x 10^8**
1. Move the decimal point in 299,030,000 to the left until you have a number between 1 and 10. The decimal point in 299,030,000 is at the end, and moving it 8 places to the left gives you 2.9903.
2. Count how many places you moved the decimal:
- Moving it 8 places means you multiply by \(10^8\).
So, 299,030,000 in scientific notation is:
\[
2.9903 \times 10^8
\]
Thus, the correct answer is:
**b. 2.9903 x 10^8**
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