Perform each unit conversion. d. 815 yd to km

Verified step by step guidance

1. Step 1: Identify the conversion factors. In this case, we know that 1 yard (yd) is equal to 0.0009144 kilometers (km).
2. Step 2: Set up the conversion so that the unwanted unit will cancel out. You should align the units in such a way that 'yd' in the denominator of the conversion factor cancels out 'yd' in the numerator of the given value.
3. Step 3: Multiply the given value by the conversion factor. This will give you the value in kilometers.
4. Step 4: Ensure that the units cancel out as expected. The 'yd' units should cancel out, leaving you with the value in 'km'.
5. Step 5: Check your work. Make sure that your answer makes sense in the context of the problem.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This involves using conversion factors, which are ratios that express how many of one unit are equivalent to another. For example, to convert yards to kilometers, one must know the relationship between these two units, specifically that 1 yard is approximately 0.0009144 kilometers.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert between units by multiplying by conversion factors. It ensures that units cancel appropriately, leading to the desired unit in the final answer. This method is particularly useful in chemistry and physics for ensuring that calculations are dimensionally consistent and accurate.

Metric System

The metric system is an internationally recognized decimal-based system of measurement that includes units such as meters, liters, and grams. Understanding the metric system is essential for performing conversions, especially when dealing with larger or smaller quantities. In this case, converting yards to kilometers requires familiarity with the metric system, as kilometers are a metric unit of distance.