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Chapter 2: Problem 2

What is the correct unit of measurement for each of the following? (a) \(1000 \mathrm{~m}\) (b) \(0.1 \mathrm{~g}\) (c) \(0.000001 \mathrm{~L}\) (d) \(0.01 \mathrm{~m}\) (e) \(0.001 \mathrm{~L}\)

Short Answer

Expert verified
(a) kilometers, (b) milligrams, (c) microliters, (d) centimeters, (e) milliliters

Step by step solution

01

Determine the correct unit for 1000 meters

1000 meters is equivalent to 1 kilometer. To convert meters to kilometers, divide the number of meters by 1,000.
02

Determine the correct unit for 0.1 grams

0.1 grams is equivalent to 100 milligrams. To convert grams to milligrams, multiply the number of grams by 1,000.
03

Determine the correct unit for 0.000001 liters

0.000001 liters is equivalent to 1 microliter. To convert liters to microliters, multiply the number of liters by 1,000,000.
04

Determine the correct unit for 0.01 meters

0.01 meters is equivalent to 1 centimeter. To convert meters to centimeters, multiply the number of meters by 100.
05

Determine the correct unit for 0.001 liters

0.001 liters is equivalent to 1 milliliter. To convert liters to milliliters, multiply the number of liters by 1,000.

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Key Concepts

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

metric system
The metric system is a decimal-based system of measurement used by most countries around the world. It's based on powers of ten, making conversions simpler and more logical.
This system includes units like meters for length, grams for weight, and liters for volume. These basic units can be adjusted for larger or smaller quantities by adding prefixes like kilo-, centi-, and milli-.
For example:
  • 1 kilometer (km) = 1,000 meters (m)
  • 1 centimeter (cm) = 0.01 meters
  • 1 milliliter (mL) = 0.001 liters (L)
Understanding the metric system is crucial as it's universally adopted in scientific, medical, and many other fields.
measurement units
Measurement units are standard quantities used to express and compare the properties of objects. In the metric system, these units are uniform and scalable, which enhances precision and ease of use.
Common measurement units include:
  • Length: meter (m), kilometer (km), centimeter (cm), millimeter (mm)
  • Mass: gram (g), kilogram (kg), milligram (mg)
  • Volume: liter (L), milliliter (mL), microliter (μL)
For instance, converting 1 kilometer to meters involves multiplying by 1,000 as there are 1,000 meters in a kilometer.
This consistency in scales makes the metric system particularly user-friendly and widely accepted.
conversion factors
Conversion factors are multipliers that convert a quantity expressed in one unit into another unit. Since the metric system is based on powers of ten, these factors simplify calculations.
Here are the factors for some common conversions:
  • To convert meters to kilometers: Divide by 1,000
  • To convert grams to milligrams: Multiply by 1,000
  • To convert liters to microliters: Multiply by 1,000,000
  • To convert meters to centimeters: Multiply by 100
  • To convert liters to milliliters: Multiply by 1,000
For instance, converting 0.01 meters to centimeters involves multiplying by 100, giving 1 centimeter. Using conversion factors helps in easily transitioning between different scales and units within the metric system.

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Most popular questions from this chapter

Which liquid will occupy the greater volume, \(50 \mathrm{~g}\) of water or \(50 \mathrm{~g}\) of ethyl alcohol? Explain.

A \(25.2-\mathrm{mL}\) sample of kerosene was determined to have a mass of \(20.41 \mathrm{~g}\). What is the density of kerosene?

Complete the following metric conversions using the correct number of significant figures: (a) \(28.0 \mathrm{~cm}\) to \(\mathrm{m}\) (b) \(1000 \mathrm{~m}\) to \(\mathrm{km}\) (c) \(9.28 \mathrm{~cm}\) to \(\mathrm{mm}\) (d) \(10.68 \mathrm{~g}\) to \(\mathrm{mg}\) (e) \(6.8 \times 10^{4} \mathrm{mg}\) to \(\mathrm{kg}\) (f) \(8.54 \mathrm{~g}\) to \(\mathrm{kg}\) (g) \(25.0 \mathrm{~mL}\) to \(\mathrm{L}\) (h) \(22.4 \mathrm{~L}\) to \(\mu \mathrm{L}\)

Will a hollow cube with sides of length \(0.50 \mathrm{~m}\) hold \(8.5 \mathrm{~L}\) of solution? Depending on your answer, how much additional solution would be required to fill the container or how many times would the container need to be filled to measure the \(8.5 \mathrm{~L}\) ?

The recommended daily allowance of magnesium for a college student is \(380 \mathrm{mg}\). If \(1 / 4\) cup of peanuts contains \(67 \mathrm{mg}\) of magnesium, how many cups of peanuts should a college student eat to get his or her daily intake of magnesium?
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