Question
Which sign makes the statement true?
790500 * 10^-66 7.905 * 10^-61
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790500 * 10^-66 7.905 * 10^-61
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Answers
Answered by
GPT-4o mini
To determine which sign makes the statement true between \( 790500 \times 10^{-66} \) and \( 7.905 \times 10^{-61} \), we can first express both numbers in the same format for easier comparison.
Let's convert \( 790500 \times 10^{-66} \):
1. Rewrite \( 790500 \) in scientific notation:
\[
790500 = 7.905 \times 10^5
\]
Therefore:
\[
790500 \times 10^{-66} = 7.905 \times 10^5 \times 10^{-66} = 7.905 \times 10^{-61}
\]
Now we can compare:
- \( 790500 \times 10^{-66} = 7.905 \times 10^{-61} \)
- \( 7.905 \times 10^{-61} \)
Since both expressions are equal, we denote this relationship with the equality sign:
\[
790500 \times 10^{-66} = 7.905 \times 10^{-61}
\]
Thus, the correct sign to make the statement true is \( = \):
- **\( 790500 \times 10^{-66} = 7.905 \times 10^{-61} \)**.
Let's convert \( 790500 \times 10^{-66} \):
1. Rewrite \( 790500 \) in scientific notation:
\[
790500 = 7.905 \times 10^5
\]
Therefore:
\[
790500 \times 10^{-66} = 7.905 \times 10^5 \times 10^{-66} = 7.905 \times 10^{-61}
\]
Now we can compare:
- \( 790500 \times 10^{-66} = 7.905 \times 10^{-61} \)
- \( 7.905 \times 10^{-61} \)
Since both expressions are equal, we denote this relationship with the equality sign:
\[
790500 \times 10^{-66} = 7.905 \times 10^{-61}
\]
Thus, the correct sign to make the statement true is \( = \):
- **\( 790500 \times 10^{-66} = 7.905 \times 10^{-61} \)**.
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