1.
How many centimeters are in a meter?
Correct Answer
A. 100
Explanation
A meter is equal to 100 centimeters. This conversion is based on the metric system, where the prefix "centi-" denotes a factor of one hundredth. Therefore, 1 meter (m) = 100 centimeters (cm). This relationship helps simplify many calculations in various scientific and everyday applications. For instance, to convert meters to centimeters, you multiply by 100: 1m×100=100cm.
2.
How many centimeters are in an inch?
Correct Answer
B. 2.54
Explanation
One inch equals 2.54 centimeters. This conversion factor is used globally, especially in scientific and engineering contexts, to convert measurements from the imperial system to the metric system. To convert inches to centimeters, you multiply by 2.54. For example, 1in×2.54=2.54cm. This precise conversion helps ensure accuracy in various fields, such as construction and manufacturing.
3.
How many centimeters are in a foot?
Correct Answer
C. 30.48
Explanation
One foot is equal to 30.48 centimeters. This conversion is based on the relationship between inches and centimeters, with 12 inches in a foot and each inch being 2.54 centimeters. Therefore, 12in×2.54cm/in=30.48cm. This calculation is essential for converting measurements in the imperial system to the metric system.
4.
How many centimeters are in a yard?
Correct Answer
A. 91
Explanation
One yard is equal to 91.44 centimeters. This conversion is derived from the fact that one yard equals 3 feet, and each foot equals 30.48 centimeters. Therefore, 3ft×30.48cm/ft=91.44cm. Understanding this conversion is important for applications involving length measurements in different units.
5.
How many centimeters are in 2 meters?
Correct Answer
C. 200
Explanation
Two meters equal 200 centimeters. This conversion is straightforward within the metric system, where each meter consists of 100 centimeters. Therefore, 2m×100cm/m=200cm. This simple multiplication highlights the ease of converting measurements within the metric system, which is designed to be intuitive and scalable.
6.
How many centimeters are in a kilometer?
Correct Answer
C. 10,000
Explanation
One kilometer equals 100,000 centimeters. This conversion uses the relationship between kilometers and meters, where 1 kilometer equals 1,000 meters, and each meter equals 100 centimeters. Therefore, 1km×1,000m/km×100cm/m=100,000cm. This calculation is crucial for understanding large distances in the metric system.
7.
How many centimeters are in 0.5 meters?
Correct Answer
B. 50
Explanation
Half a meter equals 50 centimeters. This conversion follows directly from the metric system’s definition of a meter as 100 centimeters. Therefore, 0.5m×100cm/m=50cm. This straightforward multiplication demonstrates the simplicity and coherence of the metric system, making it easy to perform conversions and calculations.
8.
How many centimeters are in a decimeter?
Correct Answer
C. 10
Explanation
One decimeter equals 10 centimeters. The prefix "deci-" denotes a factor of one tenth in the metric system. Therefore, 1dm×10cm/dm=10cm. This conversion helps in understanding and using the metric system, which is based on powers of ten, facilitating easier calculations and conversions between units.
9.
How many centimeters are in 3.5 meters?
Correct Answer
B. 350
Explanation
Three and a half meters equal 350 centimeters. This conversion is based on the relationship between meters and centimeters, where each meter equals 100 centimeters. Therefore, 3.5m×100cm/m=350cm. This calculation shows how decimal values in meters can be easily converted to centimeters by simple multiplication.
10.
How many centimeters are in a millimeter?
Correct Answer
A. 0.1
Explanation
One millimeter equals 0.1 centimeters. This conversion is derived from the metric system, where the prefix "milli-" denotes a factor of one thousandth, and 10 millimeters equal 1 centimeter. Therefore, 1mm×101cm/mm=0.1cm. Understanding this conversion is important for working with small measurements in the metric system.