Compare 7.6 × 10−25

Question

and 6.7 × 10−52
. Which statement is true?(1 point)
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 equals 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 the numbers \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can analyze their magnitudes.

Both numbers are expressed in scientific notation. The exponent \( -25 \) is greater than \( -52 \), which means that \( 10^{-25} \) is larger than \( 10^{-52} \):

\[ 10^{-25} > 10^{-52} \]

Now, multiplying each term by its corresponding coefficient:

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

Therefore, the correct statement is:

7.6 × 10−25 > 6.7 × 10−52.

So the answer is: 7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline.