Question

Which sign makes the statement true?


6.02 × 10^–6 2.06 × 10^–7

Answer 1

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 \(>\).