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Chapter 9: Problem 86

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I read that one quart is approximately \(0.94635295\) liter.

Short Answer

Expert verified
The statement that one quart is approximately 0.94635295 liter does make sense as it accurately reflects the conversion factor between quarts and liters.

Step by step solution

01

Recalling the Conversion Factor between Quarts and Liters

The conversion factor between quarts and liters is typically given as 1 quart = 0.946353 liters. This is a fact which one might look up in a table of conversion factors or recall from prior knowledge.
02

Comparing the Given Information with the Known Conversion Factor

Compare the conversion factor given in the problem statement (one quart is approximately 0.94635295 liter) with the known conversion factor obtained in step 1. It can be seen that these numbers match up to the number of decimal places given, which indicates that the statement makes sense.

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Key Concepts

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

Conversion Factor
Unit conversions are essential when dealing with various measurement systems. A conversion factor helps us change the measurement from one unit to another by multiplying it with a certain number. For instance, to convert from quarts to liters, use the conversion factor which tells us how many liters one quart equals. Conversion factors are:
  • standardized values you can find in tables or resources.
  • ensure accuracy during the conversion process.
Make sure to pick the correct factor for the units you want to convert. This helps you perform accurate calculations without mistakes.
Quarts to Liters
Converting quarts to liters is common because quarts are used in the U.S., while liters are used globally. It鈥檚 essential to know this conversion to connect U.S. measurements with metric ones. For quarts to liters, the conversion factor is approximately:
  • 1 quart = 0.946353 liters
This means for every quart you have, you multiply by 0.946353 to find the equivalent in liters. This conversion helps with understanding and translating recipes, scientific data, or any scenario where both unit systems are present.
Approximation
Sometimes, exact values aren鈥檛 necessary. An approximation is a value that is close enough to the correct value for practical purposes. Using approximations:
  • saves time, especially with complex calculations.
  • is useful when exact measurements aren鈥檛 crucial.
In our case, the value of 1 quart being approximately 0.94635295 liters is really close to the exact conversion factor of 0.946353. Approximation is practical in everyday situations, simplifying the numbers we work with while still being accurate for most uses.
Decimal Places
Decimal places show how precise a number is. They indicate which digit is the smallest in the number. In unit conversions, more decimal places suggest greater accuracy. An example is the conversion factor 0.946353: this takes the conversion to six decimal places, meaning it鈥檚 precise. More decimal places mean:
  • you get a more accurate result.
  • small variations are accounted for.
It鈥檚 essential to know when to use a precise or an approximate number, depending on the context of your problem or calculation.

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Most popular questions from this chapter

Use the following equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. When necessary, round answers to two decimal places. $$ \begin{aligned} 16 \mathrm{oz} &=1 \mathrm{lb} \\ 2000 \mathrm{lb} &=1 \mathrm{~T} \\ 1 \mathrm{oz} & \approx 28 \mathrm{~g} \\ 1 \mathrm{lb} & \approx 0.45 \mathrm{~kg} \\ 1 \mathrm{~T} & \approx 0.9 \mathrm{t} \end{aligned} $$ \(100 \mathrm{t}\) to \(\mathrm{T}\)

Ask you to determine drug dosage by a patient's weight. Use the fact that \(1 \mathrm{lb} \approx 0.45 \mathrm{~kg}\). The prescribed dosage of a drug is \(15 \mathrm{mg} / \mathrm{kg}\) daily, meaning that 15 milligrams of the drug should be administered daily for each kilogram of a patient's weight. How many 200-milligram tablets should be given each day to a patient who weighs 120 pounds?

Selecting from square centimeters, square meters, or square kilometers, determine the best unit of measure to express the area of the object described. The wall of a room

Present a group report on the current status of the metric system in the United States. At present, does it appear that the United States will convert to the metric system? Who supports the conversion and who opposes it? Summarize each side's position. Give examples of how our current system of weights and measures is an economic liability. What are the current obstacles to metric conversion?

Selecting from milligram, gram, kilogram, and tonne, determine the best unit of measure to express the given item's weight. A tablespoon of salt
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