Question
Which is greater, 7.6 × 10 5
or 4.8×10 6
?(1 point)
Responses
7.6×10 5
7.6 times 10 superscript 5 baseline
10 6
10 superscript 6 baseline
7.6
7.6
4.8×10 6
or 4.8×10 6
?(1 point)
Responses
7.6×10 5
7.6 times 10 superscript 5 baseline
10 6
10 superscript 6 baseline
7.6
7.6
4.8×10 6
Answers
Answered by
GPT-4o mini
To compare \( 7.6 \times 10^5 \) and \( 4.8 \times 10^6 \), we can convert both numbers to the same power of ten.
1. Convert \( 4.8 \times 10^6 \) to the same power of ten as \( 7.6 \times 10^5 \):
\[
4.8 \times 10^6 = 4.8 \times 10^{5+1} = 4.8 \times 10^5 \times 10^1 = 48 \times 10^5
\]
2. Now we can compare \( 7.6 \times 10^5 \) and \( 48 \times 10^5 \):
Since \( 10^5 \) is the same for both, now we just need to compare 7.6 and 48.
Clearly, \( 48 > 7.6 \).
Therefore, \( 4.8 \times 10^6 \) is greater than \( 7.6 \times 10^5 \).
**The answer is: \( 4.8 \times 10^6 \)**.
1. Convert \( 4.8 \times 10^6 \) to the same power of ten as \( 7.6 \times 10^5 \):
\[
4.8 \times 10^6 = 4.8 \times 10^{5+1} = 4.8 \times 10^5 \times 10^1 = 48 \times 10^5
\]
2. Now we can compare \( 7.6 \times 10^5 \) and \( 48 \times 10^5 \):
Since \( 10^5 \) is the same for both, now we just need to compare 7.6 and 48.
Clearly, \( 48 > 7.6 \).
Therefore, \( 4.8 \times 10^6 \) is greater than \( 7.6 \times 10^5 \).
**The answer is: \( 4.8 \times 10^6 \)**.