Compare 7.6 × 10−25 and 6.7 × 10−52. Which statement is true?(1 point)

Question

Responses

7.6 × 10−25 < 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is less than 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10−25 ≤ 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10−25 > 6.7 × 10−52
7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10−25 = 6.7 × 10−52

Answer 1

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

1. The powers of 10:

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

2. Since \( 7.6 \) is multiplied by a larger power of 10 compared to \( 6.7 \) (specifically, \( 10^{-25} \) is larger than \( 10^{-52} \)), we can conclude that \( 7.6 \times 10^{-25} \) is larger than \( 6.7 \times 10^{-52} \).

Therefore, the correct statement is:

7.6 × 10−25 > 6.7 × 10−52