/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Fill in the following blanks. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 1

Fill in the following blanks. a. \(1 \mu \mathrm{m}=\ldots \mathrm{m}\) c. \(1 \mu \mathrm{m}=\) \(\mathrm{nm}\)

Short Answer

Expert verified
1 碌m = 1 脳 10^{-6} m and 1 碌m = 1,000 nm.

Step by step solution

01

Understand Micrometers to Meters Conversion

The '碌' in '碌m' stands for 'micro,' which is a metric prefix meaning one millionth. Therefore, 1 micrometer (碌m) is equal to 1 millionth of a meter (m). In scientific notation, this is represented as \(1 \mu \text{m} = 1 \times 10^{-6} \text{m}\).
02

Fill in the Blank for Micrometers to Meters

Using the information from Step 1, you can fill in the blank for the micrometer to meter conversion: \(1 \mu \text{m} = 1 \times 10^{-6} \text{ m}\).
03

Understand Micrometers to Nanometers Conversion

The relationship between micrometers (碌m) and nanometers (nm) comes from the metric prefixes: 'micro' means one millionth (\(10^{-6}\)), and 'nano' means one billionth (\(10^{-9}\)). Thus, 1 micrometer is equivalent to 1,000 nanometers (nm).
04

Fill in the Blank for Micrometers to Nanometers

Using the relationship from Step 3, fill in the blank: \(1 \mu \text{m} = 1,000 \text{ nm}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Micrometer to Meter Conversion
Understanding how to convert micrometers (碌m) to meters (m) is a fundamental skill in science and engineering. The prefix "micro" in micrometer implies a division by a million. This is represented in numerical terms as:
  • 1 micrometer = 1/1,000,000 meter.
  • Or expressed in scientific notation: \(1 \mu \text{m} = 1 \times 10^{-6} \text{ m}\).
This means that a micrometer is a very tiny unit, used for measuring things that are microscopic in scale. Think about the thickness of a human hair or the diameter of certain types of bacteria; these measurements are often expressed in micrometers. By recognizing this conversion, you can easily switch between these two scales and better understand the size of microscopic objects relative to the meter.
Scientific Notation
Scientific notation is a convenient way to express very large or very small numbers. It simplifies calculations and makes numerical data easier to understand at a glance. The basic format involves expressing a number as a product of two parts:
  • A coefficient: a number greater than or equal to 1 and less than 10.
  • A power of 10: indicating how many times the coefficient should be multiplied or divided by 10.
For example, the number 0.000001 can be expressed as \(1 \times 10^{-6}\) in scientific notation. This not only provides a clear representation of small scales but also indicates how many decimal places to move - six places to the right in this case. Utilizing scientific notation helps in various fields, especially in physics and engineering, where dealing with extreme scales is routine.
Metric Prefixes
Metric prefixes are crucial in the metric system, providing a way to scale basic units like meters, liters, and grams up or down. Here's a quick breakdown of some common prefixes:
  • Kilo (k) means \(10^3\) or 1,000 times the base unit.
  • Milli (m) indicates \(10^{-3}\) or one-thousandth of the base unit.
  • Micro (碌) means \(10^{-6}\) or one-millionth of the base unit.
  • Nano (n) equals \(10^{-9}\) or one-billionth of the base unit.
This system provides a universal framework for expressing vast or minuscule sizes, weights, and volumes. By mastering metric prefixes, you gain flexibility to work seamlessly across different magnitudes. Whether measuring distances in kilometers or cell sizes in micrometers, the metric prefixes make conversions intuitive and straightforward.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is the purpose of a decolorizer in the Gram stain? In the acidfast stain?

A sputum sample from Calle, a 30-year-old Asian elephant, was smeared onto a slide and air dried. The smear was fixed, covered with carbolfuchsin, and heated for 5 minutes. After washing with water, acid-alcohol was placed on the smear for 30 seconds. Finally, the smear was stained with methylene blue for 30 seconds, washed with water, and dried. On examination at \(1000 \times\), the zoo veterinarian saw red rods on the slide. What microbe do these results suggest?

What is the purpose of a counterstain in the acid-fast stain?

Which type of microscope would be best to use to observe each of the following? a. a stained bacterial smear b. unstained bacterial cells: the cells are small, and no detail is needed c. unstained live tissue when it is desirable to see some intracellular detail d. a sample that emits light when illuminated with ultraviolet light e. intracellular detail of a cell that is \(1 \mu \mathrm{m}\) long f. unstained live cells in which intracellular structures are shown in color

Why is a mordant used in the Gram stain? In the flagella stain?
See all solutions

Recommended explanations on Biology Textbooks

Cell Cycle

Read Explanation

Astrobiological Science

Read Explanation

Cellular Energetics

Read Explanation

Organ Systems

Read Explanation

Ecology

Read Explanation

Plant Biology

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.