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Which of the following terminating decimals is equivalent to [tex]\frac{3}{8}[/tex]?

A. 0.250
B. 0.375
C. 0.380
D. 0.830

Sagot :

GinnyAnswer
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]
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