if your height is 1.75 cm, how tall are you in meters?
The correct answer and explanation is:
To convert your height from centimeters to meters, you need to use the conversion factor that 1 meter is equal to 100 centimeters. Therefore, to convert 1.75 centimeters to meters, you divide the number of centimeters by 100.
The formula is: Height in meters=Height in centimeters100\text{Height in meters} = \frac{\text{Height in centimeters}}{100}
So, for a height of 1.75 cm: Height in meters=1.75100=0.0175 meters\text{Height in meters} = \frac{1.75}{100} = 0.0175 \text{ meters}
Therefore, your height of 1.75 centimeters is equivalent to 0.0175 meters.
Explanation:
The metric system is based on powers of ten, which makes converting between units relatively straightforward. The basic units are meters for length, kilograms for mass, and seconds for time, among others. Within the metric system, there are prefixes that represent multiples or fractions of the base unit. For length, these include millimeters (mm), centimeters (cm), meters (m), and kilometers (km).
The relationship between centimeters and meters is direct, with 1 meter being equivalent to 100 centimeters. This is a simple linear conversion, which means you can multiply or divide by 10, 100, or 1000 depending on whether you are converting to a larger or smaller unit.
When converting from a smaller unit like centimeters to a larger unit like meters, you divide by 100, because there are 100 centimeters in 1 meter. Similarly, when converting from meters to centimeters, you multiply by 100.
This conversion is important for consistency in measurements, especially in scientific and everyday applications. Understanding how to convert between units like centimeters and meters is fundamental for accurate calculations in fields such as physics, engineering, and even everyday tasks like measuring height or length.