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Chapter 1: Problem 2

Give the metric prefix for each value. \(0.01\)

Short Answer

Expert verified
The metric prefix for 0.01 is 'centi-'.

Step by step solution

01

Understand Metric Prefix

Metric prefixes are used to denote decimal multiples and submultiples of units. They tell us how many times we should multiply or divide the base unit by a factor of ten. For example, the prefix 'centi-' indicates a factor of one-hundredth (\( 10^{-2} \)).
02

Identify the Correct Prefix

Since the value given is \( 0.01 \), we need to find the metric prefix that represents this value. In metric terms, \( 0.01 \) is equivalent to \( 10^{-2} \), which is represented by the prefix 'centi-'.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Multiples
In the metric system, decimal multiples provide a convenient way to express large and small numbers by using base 10 powers. Each multiple signifies a certain power of ten, simplifying calculations and conversions.

Decimal multiples work by multiplying or dividing a number by powers of ten. Here's how it works:
  • A metric prefix represents how many times to multiply the base unit.
  • For instance, 'kilo-' represents multiplying the unit by 1,000 or \( 10^3 \).
  • Conversely, 'milli-' represents dividing by 1,000 or \( 10^{-3} \).
Understanding decimal multiples is vital in science, engineering, and everyday applications because it simplifies numbers and units, making them manageable and comprehensible.
Metric System
The metric system, also known as the International System of Units (SI), is a globally accepted system of measurement. It uses a decimal-based system, making it straightforward and easy to understand. This system is structured around a set of base units like meters, liters, and grams and enhances them with their multiples and submultiples.

  • It facilitates communication and comprehension by providing a universal standard.
  • Base units can be transformed via metric prefixes like 'centi-', 'milli-', or 'kilo-', representing different magnitudes.
  • This system is prevalent in science, industry, and even everyday life, as it ensures consistent measurements worldwide.
By incorporating metric prefixes, the metric system accommodates extreme sizes and measurements in comprehensible terms. It adapts well to innovations, enabling precise and simple calculations.
Centi-
The prefix 'centi-' is vital in the metric system, denoting one-hundredth or \( 10^{-2} \) of a base unit. This prefix is commonly used for measurements that require finer precision and smaller quantities.

For example, in terms of length, one centimeter (cm) is equivalent to one-hundredth of a meter. In volume measurements, a centiliter (cl) represents one-hundredth of a liter. Similarly, in mass, a centigram (cg) is one-hundredth of a gram.

  • The 'centi-' prefix helps in expressing relatively small amounts in standard metric units.
  • It is crucial for providing precision in scientific and mathematical contexts, where exact measurement is necessary.
  • It bridges the gap between measuring whole units and very small, manageable fractions of units.
Thus, understanding 'centi-' and its application aids in accurate and efficient measurement and data representation.

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Most popular questions from this chapter

Use the rules for multiplication and division of measurements to find the value of each of the following. $$ \frac{140 \mathrm{~g}}{(3.4 \mathrm{~cm})(2.8 \mathrm{~cm})(5.6 \mathrm{~cm})} $$

Use the rules for addition of measurements to add each set of measurements. $$ 12 \mathrm{~s} ; 1.004 \mathrm{~s} ; 0.040 \mathrm{~s} ; 3.9 \mathrm{~s} ; 0.87 \mathrm{~s} $$

Determine the accuracy (the number of significant digits) of each measurement. \(4 \overline{0} 00 \mathrm{~N}\)

Determine the accuracy (the number of significant digits) of each measurement. \(4.0 \times 10^{6} \mathrm{ft}\)

Determine the precision of each measurement. \(0.007 \mathrm{~m}\)
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