Final answer:
To convert 12 feet to inches, a proportion is set up using unit equivalence, revealing that 12 feet is exactly 144 inches. This example shows the accuracy of careful calculation compared to rough estimates.
Step-by-step explanation:
To convert 12 feet to inches, we set up a proportion using the fact that 1 foot is equivalent to 12 inches. This proportion looks like 1 foot / 12 inches = 12 feet / x inches. Solving for x, we find that x = 12 feet × 12 inches/foot, which equals 144 inches.
When making an early estimate of measurement, one may go with a rough guess, such as 3 inches or 10 feet (120 inches), but a carefully calculated approximation usually provides better accuracy. For instance, without the proper conversion, you might underestimate or overestimate the actual length. This exercise demonstrates the importance of using exact conversions to get more reliable results. The final approximate value of 144 inches is the exact value and does not require rounding since it is a whole number.