Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (c) km to ft

Verified step by step guidance

1. Identify the conversion factor from kilometers to meters: 1 km = 1000 m.
2. Identify the conversion factor from meters to feet: 1 m = 3.28084 ft.
3. Combine the conversion factors to convert kilometers to feet: 1 km = 1000 m * 3.28084 ft/m.
4. Multiply the number of kilometers by the combined conversion factor to find the equivalent in feet.
5. Ensure the units cancel appropriately, leaving the final result in feet.

Key Concepts

Metric and English Units

Metric units, such as kilometers (km), are part of the International System of Units (SI) and are based on powers of ten, making conversions straightforward. English units, like feet (ft), are part of a different measurement system commonly used in the United States. Understanding the differences between these systems is essential for accurate conversions.

Conversion Factors

A conversion factor is a numerical multiplier used to convert a quantity expressed in one unit to another unit. For example, to convert kilometers to feet, one must know the relationship between these units, specifically that 1 kilometer is approximately equal to 3280.84 feet. Using conversion factors allows for seamless transitions between different measurement systems.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one unit of measurement to another by multiplying by conversion factors. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is a crucial skill in chemistry and physics for solving problems involving different measurement systems.