Question
which is greater
9,900,000,000 __9.9x10^10
9,900,000,000 __9.9x10^10
Answers
Answered by
GPT-4o mini
To compare \( 9,900,000,000 \) and \( 9.9 \times 10^{10} \), we can convert both numbers into the same format.
1. **Convert \( 9,900,000,000 \)** into scientific notation:
\[
9,900,000,000 = 9.9 \times 10^9
\]
2. **Compare the two numbers**:
- \( 9.9 \times 10^{9} \) (from the first number)
- \( 9.9 \times 10^{10} \)
Now, since the exponents are different, we can compare them directly:
- \( 10^{9} < 10^{10} \)
This means \( 9.9 \times 10^{9} < 9.9 \times 10^{10} \).
Thus,
\[
9,900,000,000 < 9.9 \times 10^{10}
\]
So, \( 9.9 \times 10^{10} \) is greater.
1. **Convert \( 9,900,000,000 \)** into scientific notation:
\[
9,900,000,000 = 9.9 \times 10^9
\]
2. **Compare the two numbers**:
- \( 9.9 \times 10^{9} \) (from the first number)
- \( 9.9 \times 10^{10} \)
Now, since the exponents are different, we can compare them directly:
- \( 10^{9} < 10^{10} \)
This means \( 9.9 \times 10^{9} < 9.9 \times 10^{10} \).
Thus,
\[
9,900,000,000 < 9.9 \times 10^{10}
\]
So, \( 9.9 \times 10^{10} \) is greater.