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 greater 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 less than 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10−25 = 6.7 × 10−52

Answer 1

To compare the numbers \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can look at their scientific notation.

Since both numbers are in scientific notation, we first note the exponents of 10. The exponent for \( 7.6 \times 10^{-25} \) is \(-25\) and the exponent for \( 6.7 \times 10^{-52} \) is \(-52\).

A higher exponent (less negative) means a larger number in this case. Thus, because \(-25\) is greater than \(-52\), we can conclude that:

\[ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \]

Therefore, the correct statement is:

7.6 × 10−25 > 6.7 × 10−52.