Make the following conversions:
1M =
A
10 cm
The correct answer and explanation is :
Conversions:
- 1 meter (1M) = 100 centimeters (cm)
- 10 centimeters (10 cm) = 0.1 meters (m)
Explanation:
Understanding the Metric System
The metric system is a decimal-based system of measurement used worldwide. The base unit for length in this system is the meter (m). Other units like centimeters (cm) and millimeters (mm) are derived from the meter by factors of ten.
Conversion of 1 Meter to Centimeters
A meter (m) is the standard unit of length in the International System of Units (SI). One meter consists of 100 centimeters (cm). This relationship can be written mathematically as: 1M=100cm1M = 100 cm
This means if you have a stick that is 1 meter long, it is the same as saying it is 100 cm long.
Conversion of 10 cm to Meters
Since 1 meter contains 100 cm, to convert centimeters back to meters, we divide by 100: 10cm=10100=0.1m10 cm = \frac{10}{100} = 0.1 m
Thus, 10 cm is equal to 0.1 meters.
Why These Conversions Matter?
- Everyday Use: People use these conversions in daily life, such as measuring furniture, cloth, or height.
- Science and Engineering: Scientists and engineers rely on these conversions for accurate calculations.
- Education: Students learning math and physics often encounter these basic unit conversions.
