Write the numerical value for each of the following prefixes:
a. centi

Verified step by step guidance

1. Understand that prefixes in the metric system represent powers of ten. The prefix 'centi-' is commonly used in measurements such as centimeters (cm) or centiliters (cL).
2. Recall that the prefix 'centi-' corresponds to 10^-2. This means that 1 centi-unit is equal to 0.01 of the base unit.
3. Express the numerical value of 'centi-' as a decimal: 0.01.
4. Alternatively, express the numerical value of 'centi-' in scientific notation: 1 × 10^-2.
5. Use this knowledge to convert or interpret measurements involving the 'centi-' prefix in future problems.

Key Concepts

Metric Prefixes

Metric prefixes are standardized units of measurement that denote specific powers of ten. They are used to simplify the expression of large or small quantities in the metric system. For example, 'centi-' represents one hundredth (10^-2) of a unit, making it easier to work with smaller measurements.

Centi

The prefix 'centi-' is derived from the Latin word 'centum,' meaning one hundred. In the metric system, it indicates a factor of 0.01 or 1/100. Therefore, when applied to a unit, such as a meter, it denotes a centimeter, which is one hundredth of a meter.

Conversion in the Metric System

Understanding how to convert between different metric units is essential for accurate measurement. The metric system is based on powers of ten, allowing for straightforward conversions by moving the decimal point. For instance, converting from meters to centimeters involves multiplying by 100, reflecting the centi- prefix.