What is the decimal representation of the fraction 1/8 (one divided by eight)?

Introduction:
This question focuses on converting the simple fraction 1/8 into its decimal form. Understanding how to convert fractions to decimals is crucial for dealing with percentages, ratios, and many practical calculations in aptitude exams and daily life.

Given Data / Assumptions:

• Fraction: 1/8.
• We must express this as a decimal.
• The answer should be exact, not rounded.

Concept / Approach:
To convert a fraction a/b into a decimal, you perform the division a ÷ b. Because 8 is a power of 2, the decimal will terminate. It is useful to know that dividing 1 by a power of 2 gives a neat terminating decimal.

Step-by-Step Solution:
Step 1: Interpret 1/8 as the division 1 ÷ 8.Step 2: Since 1 is less than 8, consider 1.000 and divide by 8.Step 3: 8 goes into 10 once (1 * 8 = 8), leaving a remainder of 2. Bring down the next 0 to get 20.Step 4: 8 goes into 20 twice (2 * 8 = 16), leaving a remainder of 4. Bring down the next 0 to get 40.Step 5: 8 goes into 40 five times (5 * 8 = 40), leaving a remainder of 0.Step 6: So the quotient is 0.125.Thus, 1/8 expressed as a decimal is 0.125.

Verification / Alternative check:
We can also reason that 1/8 = (0.5) / 4 because 1/2 = 0.5 and 1/8 = 1 / (2^3). Dividing 0.5 by 4 gives 0.125, which is consistent with our long division result.

Why Other Options Are Wrong:
0.375 is the decimal for 3/8, not 1/8. 0.247 and 0.214 are unrelated decimals. 0.200 is equal to 1/5, not 1/8. Only 0.125 exactly equals 1/8.

Common Pitfalls:
Some students confuse 1/8 with 1/4 (0.25) or 3/8 (0.375). Another common mistake is performing the division quickly and misplacing the decimal. Carefully carrying out long division or remembering common fraction–decimal equivalences helps avoid such errors.

Final Answer:
The decimal representation of 1/8 is 0.125.