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Chapter 2: Problem 42

Write the numerical value for each of the following prefixes: a. giga b. micro c. mega d. nano

Short Answer

Expert verified
a. 10^9, b. 10^-6, c. 10^6, d. 10^-9

Step by step solution

01

Giga

The prefix 'giga' (G) represents a factor of 10^9. This means that 1 gigabyte (GB) is equal to 1 x 10^9 bytes.
02

Micro

The prefix 'micro' (渭) represents a factor of 10^-6. This means that 1 microsecond (渭s) is equal to 1 x 10^-6 seconds.
03

Mega

The prefix 'mega' (M) represents a factor of 10^6. This means that 1 megabyte (MB) is equal to 1 x 10^6 bytes.
04

Nano

The prefix 'nano' (n) represents a factor of 10^-9. This means that 1 nanometer (nm) is equal to 1 x 10^-9 meters.

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Key Concepts

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

Understanding 'Giga'
The prefix 'giga' (G) denotes a factor of 10^9, or one billion. Commonly used in technology and computing, 'giga' helps us discuss large quantities. For instance, 1 gigabyte (GB) equals 1 x 10^9 bytes. This is a thousand times more than a megabyte (MB). Giga is particularly useful in measuring digital storage and data. When you hear a computer's storage capacity listed as '512 GB', it means it can hold 512 billion bytes of data. The large scale of 'giga' makes it essential for handling big data sets and large databases.
Decoding 'Micro'
The prefix 'micro' (碌) signifies a factor of 10^-6, or one-millionth. It's often used in scientific and medical contexts. For example, 1 microsecond (碌s) equals 1 x 10^-6 seconds, which is a million times shorter than a second. Understanding micro units is critical in fields like electronics, pharmacology, and microbiology.
  • In electronics, a microfarad (碌F) measures capacitance.
  • In pharmacology, a microgram (碌g) measures medication doses.
The tiny scale that 'micro' represents makes it crucial for precision in various scientific calculations.
Exploring 'Mega'
The prefix 'mega' (M) stands for a factor of 10^6, or one million. You鈥檒l find 'mega' frequently in computing and telecommunications. For example, 1 megabyte (MB) equals 1 x 10^6 bytes. 'Mega' is also used in terms like megahertz (MHz), which measures frequency. Knowing 'mega' units assists with understanding and handling everyday technology efficiently. For instance, internet speed is commonly measured in megabits per second (Mbps). Understanding these units helps in making informed decisions about technology usage and needs.
Unveiling 'Nano'
The prefix 'nano' (n) represents a factor of 10^-9, or one-billionth. 'Nano' is integral in nanotechnology, which deals with materials and devices on an atomic scale. For example, 1 nanometer (nm) equals 1 x 10^-9 meters, which is one-billionth of a meter. This ultra-small scale is essential for many advanced technologies, including semiconductors and medical diagnostics.
  • In materials science, nanoparticles exhibit unique physical and chemical properties.
  • In medicine, nanoparticles can deliver drugs to specific cells.
Understanding 'nano' helps appreciate how small-scale innovations can lead to significant technological advancements.

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Most popular questions from this chapter

What is the estimated digit in each of the following measured numbers? a. \(125.04 \mathrm{~g}\) b. \(5.057 \mathrm{~m}\) c. \(525.8^{\circ} \mathrm{C}\)

Using conversion factors, solve each of the following clinical problems: a. The physician has ordered \(1.0 \mathrm{~g}\) of tetracycline to be given every six hours to a patient. If your stock on hand is \(500-\mathrm{mg}\) tablets, how many will you need for one day's treatment? b. An intramuscular medication is given at \(5.00 \mathrm{mg} / \mathrm{kg}\) of body weight. What is the dose for a \(180-\mathrm{lb}\) patient? c. A physician has ordered \(0.50 \mathrm{mg}\) of atropine, intramuscularly. If atropine were available as \(0.10 \mathrm{mg} / \mathrm{mL}\) of solution, how many milliliters would you need to give? d. During surgery, a patient receives \(5.0\) pt of plasma. How many milliliters of plasma were given?

Perform each of the following calculations, and give an answer with the correct number of significant figures: a. \(400 \times 185\) b. \(\frac{2.40}{(4)(125)}\) c. \(0.825 \times 3.6 \times 5.1\) d. \(\frac{(3.5)(0.261)}{(8.24)(20.0)}\) e. \(\frac{\left(5 \times 10^{-5}\right)\left(1.05 \times 10^{4}\right)}{\left(8.24 \times 10^{-8}\right)}\) f. \(\frac{\left(4.25 \times 10^{2}\right)\left(2.56 \times 10^{-3}\right)}{\left(2.245 \times 10^{-3}\right)(56.5)}\)

Why can two conversion factors be written for an equality such as \(1 \mathrm{~m}=100 \mathrm{~cm} ?\)

Write the numerical value for each of the following prefixes: a. centi b. tera c. milli d. deci
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