Write the decimal 47 ÷ 10,000 in standard decimal form. Ensure correct placement of the decimal point.

Introduction / Context:Converting a fraction with a power of ten in the denominator into a decimal is a frequent task in aptitude tests. Precision in placing the decimal point is the only real challenge, especially with multiple zeros involved.

Given Data / Assumptions:

• Value: 47/10,000.
• 10,000 = 10^4, meaning shift the decimal four places to the left from 47.0000.

Concept / Approach:Divide by powers of ten by moving the decimal point left. Since 47 = 47.0000, dividing by 10,000 places the decimal four positions left, yielding a number much smaller than 1.

Step-by-Step Solution:Start with 47.0000.Move the decimal 4 places left for division by 10,000.Result: 0.0047 (which can be written as .0047).

Verification / Alternative check:As a fraction: 47/10,000 simplifies to 47 × 10^-4 = 4.7 × 10^-3 = 0.0047.

Why Other Options Are Wrong:

• .0470: Only three places moved; too large by a factor of 10.
• .00047 and .000047: Too many places moved; too small.
• .47: Off by 100; decimal not shifted at all.

Common Pitfalls:Miscounting zeros in 10,000; forgetting to add leading zeros when shifting the decimal.

Final Answer:.0047