Question
Compare 7.6 × 10^−25 and 6.7 × 10^−52. Which statement is true?(1 point)Responses
7.6 × 10^−25 < 6.7 × 10^−52
7.6 × 10^−25 ≤ 6.7 × 10^−52
7.6 × 10^−25 > 6.7 × 10^−52
7.6 × 10^−25 = 6.7 × 10^−52
7.6 × 10^−25 < 6.7 × 10^−52
7.6 × 10^−25 ≤ 6.7 × 10^−52
7.6 × 10^−25 > 6.7 × 10^−52
7.6 × 10^−25 = 6.7 × 10^−52
Answers
GPT-4o mini
To compare \(7.6 \times 10^{-25}\) and \(6.7 \times 10^{-52}\), we should first consider the exponents of 10, since they influence the magnitude of these numbers significantly.
The exponent \(-25\) in \(7.6 \times 10^{-25}\) is greater (less negative) than the exponent \(-52\) in \(6.7 \times 10^{-52}\). Since the base numbers (7.6 and 6.7) are both positive:
1. The term \(7.6 \times 10^{-25}\) represents a larger value than \(6.7 \times 10^{-52}\) because \(10^{-25}\) is a larger magnitude (closer to zero) than \(10^{-52}\).
Thus, we can conclude that:
\[
7.6 \times 10^{-25} > 6.7 \times 10^{-52}
\]
The correct statement is:
**7.6 × 10^−25 > 6.7 × 10^−52**.
The exponent \(-25\) in \(7.6 \times 10^{-25}\) is greater (less negative) than the exponent \(-52\) in \(6.7 \times 10^{-52}\). Since the base numbers (7.6 and 6.7) are both positive:
1. The term \(7.6 \times 10^{-25}\) represents a larger value than \(6.7 \times 10^{-52}\) because \(10^{-25}\) is a larger magnitude (closer to zero) than \(10^{-52}\).
Thus, we can conclude that:
\[
7.6 \times 10^{-25} > 6.7 \times 10^{-52}
\]
The correct statement is:
**7.6 × 10^−25 > 6.7 × 10^−52**.