Express the quantity 102,455 m in each unit. a. km b. Mm c. mm d. cm

Verified step by step guidance

1. Convert meters to kilometers by dividing the number of meters by 1,000, since 1 km = 1,000 m.
2. Convert meters to megameters by dividing the number of meters by 1,000,000, since 1 Mm = 1,000,000 m.
3. Convert meters to millimeters by multiplying the number of meters by 1,000, since 1 m = 1,000 mm.
4. Convert meters to centimeters by multiplying the number of meters by 100, since 1 m = 100 cm.
5. Ensure each conversion is done correctly by checking the units and conversion factors used.

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 meters to kilometers, one would use the factor that 1 km equals 1,000 m.

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters (m), kilometers (km), millimeters (mm), and megameters (Mm). Each unit is related by powers of ten, making conversions straightforward. Understanding the relationships between these units is essential for accurate conversions.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing unit conversions, it is important to maintain the appropriate number of significant figures based on the precision of the original measurement. In this case, the number 102,455 m has six significant figures, which should be preserved in the converted values.