Asked by liquidlew
Which sign makes the statement true?
6.02 × 10^–6 2.06 × 10^–7
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which sign makes the statement true, we need to compare the two numbers given in scientific notation: \(6.02 \times 10^{-6}\) and \(2.06 \times 10^{-7}\).
First, we can rewrite both numbers with the same exponent for easier comparison. Let's convert \(2.06 \times 10^{-7}\) to a form with an exponent of \(-6\):
\[
2.06 \times 10^{-7} = 0.206 \times 10^{-6}
\]
Now we can compare \(6.02 \times 10^{-6}\) and \(0.206 \times 10^{-6}\):
1. \(6.02 \times 10^{-6} > 0.206 \times 10^{-6}\)
Therefore, the complete comparison can be written as:
\[
6.02 \times 10^{-6} > 2.06 \times 10^{-7}
\]
Thus, the sign that makes the statement true is \(>\).
First, we can rewrite both numbers with the same exponent for easier comparison. Let's convert \(2.06 \times 10^{-7}\) to a form with an exponent of \(-6\):
\[
2.06 \times 10^{-7} = 0.206 \times 10^{-6}
\]
Now we can compare \(6.02 \times 10^{-6}\) and \(0.206 \times 10^{-6}\):
1. \(6.02 \times 10^{-6} > 0.206 \times 10^{-6}\)
Therefore, the complete comparison can be written as:
\[
6.02 \times 10^{-6} > 2.06 \times 10^{-7}
\]
Thus, the sign that makes the statement true is \(>\).
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