We are given the expression:
[tex]\[
1 \times 10^{-2} \quad \text{?} \quad 6.1 \times 10^{-2}
\][/tex]
First, we need to convert both of these numbers from scientific notation to decimal form to make them easier to compare.
1. For [tex]\(1 \times 10^{-2}\)[/tex]:
[tex]\[
1 \times 10^{-2} = 0.01
\][/tex]
2. For [tex]\(6.1 \times 10^{-2}\)[/tex]:
[tex]\[
6.1 \times 10^{-2} = 0.061
\][/tex]
Now, we need to compare these two decimal numbers:
[tex]\[
0.01 \quad \text{?} \quad 0.061
\][/tex]
Next, let's determine which decimal is smaller or larger by comparing their values:
- [tex]\(0.01\)[/tex] is less than [tex]\(0.061\)[/tex].
Hence, the appropriate inequality sign that makes the statement true is:
[tex]\[
0.01 < 0.061
\][/tex]
Thus, the correct answer is:
[tex]\[
1 \times 10^{-2} < 6.1 \times 10^{-2}
\][/tex]
Therefore, the sign that makes the statement true is:
[tex]\[
<
\][/tex]
