If there are 200 centimeters in 2 meters, how many centimeters per meter?
The Correct Answer and Explanation is:
Correct Answer:
There are 100 centimeters per meter.
Explanation:
To solve this, we first need to understand the relationship between meters and centimeters. The metric system is based on powers of 10, making it very straightforward to convert between units. In this system:
- 1 meter is defined as 100 centimeters.
This is a standard unit conversion. So, if we are told there are 200 centimeters in 2 meters, we can calculate how many centimeters are in one meter by dividing the total centimeters by the number of meters:Centimeters per meter=200 cm2 m=100 cm/m\text{Centimeters per meter} = \frac{200 \text{ cm}}{2 \text{ m}} = 100 \text{ cm/m}Centimeters per meter=2 m200 cm=100 cm/m
This confirms that each meter contains 100 centimeters.
Let’s look at it another way: Think of a meter stick. Each one is marked from 0 to 100 centimeters. So if you line up two meter sticks end to end, the markings would go from 0 to 200 centimeters. That’s 100 centimeters on the first stick and another 100 on the second, totaling 200 centimeters in 2 meters.
This consistent conversion is part of why the metric system is widely used in science and most countries around the world. It simplifies measurements because conversions only involve moving the decimal point. For example:
- 1 meter = 100 centimeters
- 1 centimeter = 10 millimeters
- 1 kilometer = 1,000 meters
These neat multiples of ten make it easy to go from one unit to another just by multiplying or dividing.
In summary, since 2 meters equal 200 centimeters, dividing by 2 gives 100 centimeters per meter. This matches the official definition in the metric system.
