Compare 7.6 × 10−25

Question

 and  6.7 × 10−52
. Which statement is true?(1 point)

Answer 1

To compare the numbers \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can look at both the coefficients and the powers of ten.

1. The first number is \( 7.6 \times 10^{-25} \).
2. The second number is \( 6.7 \times 10^{-52} \).

The critical factor in comparing these values is the exponent (the power of ten).

• \( 10^{-25} \) is much larger than \( 10^{-52} \) since \(-25\) is greater than \(-52\).

This means that \( 7.6 \times 10^{-25} \) is significantly larger than \( 6.7 \times 10^{-52} \).

Therefore, the correct statement is: \[ 7.6 \times 10^{-25} > 6.7 \times 10^{-52}. \]