Question
Compare Very Large and Very Small Numbers Quick Check
3 of 53 of 5 Items
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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Answers
GPT-4o mini
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**.
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**.