To determine which of the given terminating decimals is equivalent to [tex]\(\frac{3}{8}\)[/tex], we will follow a step-by-step approach to compare this fraction with each of the given decimals.
1. Convert the fraction [tex]\(\frac{3}{8}\)[/tex] to a decimal:
- To convert the fraction [tex]\(\frac{3}{8}\)[/tex] to a decimal, we divide [tex]\(3\)[/tex] by [tex]\(8\)[/tex]:
[tex]\[
\frac{3}{8} = 0.375
\][/tex]
2. Compare the obtained decimal with each of the given options:
- Option 1: [tex]\(0.250\)[/tex]
[tex]\[
0.375 \neq 0.250
\][/tex]
- Option 2: [tex]\(0.375\)[/tex]
[tex]\[
0.375 = 0.375
\][/tex]
- Option 3: [tex]\(0.380\)[/tex]
[tex]\[
0.375 \neq 0.380
\][/tex]
- Option 4: [tex]\(0.830\)[/tex]
[tex]\[
0.375 \neq 0.830
\][/tex]
3. Determine the correct option:
- Based on the comparisons, the only option that matches the decimal equivalent of [tex]\(\frac{3}{8}\)[/tex] is:
[tex]\[
0.375
\][/tex]
4. Identify the position of the correct option:
- Option [tex]\(0.375\)[/tex] is the second option in the given list.
Therefore, the correct terminating decimal equivalent to [tex]\(\frac{3}{8}\)[/tex] is found in position 2.
Hence, the solution to the question is:
[tex]\[
\boxed{2}
\][/tex]
