Compare 7.6 × 10−25 and 6.7 × 10−52. Which statement is true?

Answer 1

To compare \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can analyze the terms in scientific notation.

1. Consider the exponents:
   • The exponent for \( 7.6 \times 10^{-25} \) is \(-25\).
   • The exponent for \( 6.7 \times 10^{-52} \) is \(-52\).

Since \(-25\) is greater than \(-52\), \( 10^{-25} \) is larger than \( 10^{-52} \).

2. Now consider the coefficients:
   • The coefficient of the first number is \(7.6\).
   • The coefficient of the second number is \(6.7\).

Even though \(7.6\) is larger than \(6.7\), the comparison based on the exponents is sufficient.

Conclusion: Since \(10^{-25}\) is much larger than \(10^{-52}\), we can say: \[ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \]

Thus, the statement that is true is: \( 7.6 \times 10^{-25} \) is greater than \( 6.7 \times 10^{-52} \).