Compare Very Large and Very Small Numbers Quick Check

Question

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Question
Compare 7.6 × 10−25
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 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 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 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
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Answer 1

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

1. The first number is \(7.6 \times 10^{-25}\), which has an exponent of \(-25\).
2. The second number is \(6.7 \times 10^{-52}\), which has an exponent of \(-52\).

Since \(-25\) is greater than \(-52\), this means that \(10^{-25}\) is greater than \(10^{-52}\). Therefore, we can conclude that:

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

So, the correct statement is:

7.6 × 10−25 > 6.7 × 10−52.