Solution
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To convert a measurement from meters to feet, you can use the following conversion factor: 1 meter is approximately equal to 3.28084 feet. Here's a step-by-step guide to converting 1.81 meters to feet:
Step 1: Identify the conversion factor.
Step 1: Identify the conversion factor.
Step 1: Identify the conversion factor.
The conversion factor from meters to feet is 3.28084 feet per meter.
Step 2: Set up the conversion equation.
To convert meters to feet, multiply the number of meters by the conversion factor. The equation will look like this:
Number of feet = Number of meters × Conversion factor
Step 3: Plug in the values.
In this case, you want to convert 1.81 meters to feet. So, you will plug in 1.81 for the number of meters:
Number of feet = 1.81 meters × 3.28084 feet/meter
Step 4: Perform the multiplication.
Now, multiply 1.81 by 3.28084:
Number of feet = 1.81 × 3.28084
Number of feet ≈ 5.93832
Step 5: Round the result (if necessary).
Depending on the level of precision required, you may round the result to a certain number of decimal places. For general purposes, rounding to two decimal places is often sufficient:
Number of feet ≈ 5.94
Therefore, 1.81 meters is approximately equal to 5.94 feet.
The conversion factor from meters to feet is 3.28084 feet per meter.
Step 2: Set up the conversion equation.
To convert meters to feet, multiply the number of meters by the conversion factor. The equation will look like this:
Number of feet = Number of meters × Conversion factor
Step 3: Plug in the values.
In this case, you want to convert 1.81 meters to feet. So, you will plug in 1.81 for the number of meters:
Number of feet = 1.81 meters × 3.28084 feet/meter
Step 4: Perform the multiplication.
Now, multiply 1.81 by 3.28084:
Number of feet = 1.81 × 3.28084
Number of feet ≈ 5.93832
Step 5: Round the result (if necessary).
Depending on the level of precision required, you may round the result to a certain number of decimal places. For general purposes, rounding to two decimal places is often sufficient:
Number of feet ≈ 5.94
Therefore, 1.81 meters is approximately equal to 5.94 feet.
Basic Units in Chemistry
Conversion Factors
Exercise 2 - Conversions of units (mass, length, surface)
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Hello. Today we're going to talk about
chemistry and how the units commonly used in chemistry.
What system to chemists use?
Chemists typically use the metric system.
Metric system is used throughout the world and it's based on powers of 10,
based on 10 is the basic unit.
The system that chemists use is Systeme Internationale.
That is French for international system and abbreviated as SI.
We talk about SI units.
Now, there are quite a number of these units.
But today we're only going to discuss a few of them,
those commonly used by chemists.
The first one we're going to talk about is the length.
The length is a physical property.
It's basic unit is meter.
The symbol use to write meter is m. As well as length,
we might want to talk about mass.
Here's the mass.
The basic unit of mass is kilograms.
How do we write that?
In short we use the user symbol kg.
You're all familiar with that.
Now, in addition to length and mass,
other common physical property that we like to talk about is time.
Here we have time.
Now, what units might we use to express time?
The units we usually use are seconds.
Of course, we can talk about minutes and hours,
but they're all related easily to seconds.
Then we write second as s,
not sec, just s. Now,
another two units which are less familiar to you,
but which are very useful are
the unit used to measure temperature and that's called Kelvin.
In the SI system,
the unit of temperature is Kelvin.
You're probably not familiar with it.
We'll show later that it's similar to degrees Celsius.
It's related closely to degrees Celsius.
The way we write it is K,
not degrees K, just K. We'll talk about this in great detail when we talk about gases.
Now, another unit which you're probably even less familiar
with is the one used for the amount of substance and that's called a mole,
just like the furry animal.
It's written mol. Now,
we'll talk about that in great detail later in
the course and you'll have to be very familiar with it.
We've used the units, meter,
kilogram, second, Kelvin, mol.
Now, meters, kilograms and seconds are written MKS.
We can write that as m for meter,
k for kilogram and s for second,
called the MKS system or units.
Now, sometimes we want a whole lot of
meters or we want a whole lot of kilograms or a whole lot of seconds.
We sometimes have very large numbers
and we want a very convenient way of expressing them.
Let's take a very large number like a million.
You all know that we can write that as 10^6.
A million is written as 10^6.
We're going to see that there is a nice prefix that we can attach to the meter,
for example, that will express this.
We'll see that 10^6 is called mega.
Mega if it's a meter is 10^6 meters.
We'll write it as megameter.
Now, sometimes we have very small numbers,
like a millionth of something.
That's 10^-6.
I hope you remember that 10^-6 is just 1 divided by 10^6.
Sometimes we have these very small numbers and we need some prefix,
some name that we can use to express this very small number, 10^-6.
We'll see in a few minutes that the way we call
that micrometer and we write it Mu m. The Greek letter, Mu.
Here we call this mega,
M, m for meter.
What are these prefixes that we can use?
Now, there are many of them,
but we're not going to write all of them,
just the ones that we're going to use in this course.
For example, something that's very large,
10^9 that's 1000 times 1,000,000.
If you had money like that,
if you would have so much money you'd be called a billionaire.
But in chemistry we call it giga.
You could have giga dollars that will make you a billionaire.
We call it giga and we abbreviate it by this
G. Then the next one you might be familiar with this from gigabytes.
In computers we talk about gigabytes.
You're probably familiar with that.
The next one we're going to talk about is 10^6.
That's 1,000,000.
That we write as mega.
We call that mega and abbreviate it as a M. Where might you be familiar with this?
You might be familiar with this from computers.
We talked about megabytes.
The next one is kilo,
10^3, that's 1,000.
A thousand kilos is a kilo and we express it as small k. We might
have 1,000 grams and 1,000 grams is a kilogram.
A thousand meters is a kilometer.
Centi, we get to very small numbers.
Here they were all powers much bigger than one.
Now, we're getting a part of one.
The first one we're going to meet is called centi.
That's 10^-2.
This is not strictly an SI unit because SI units generally go in the powers of 3,
like 10^9, 10^6,
10^3, 10^-3, 10^-6,10^-9,10^-12 This is a bit of an odd man out, but very useful.
It's called centi.
10^-2 is called centi.
We'll write it as c. You're all very familiar with the centimeter.
We know that the centimeter is 0.01 of a meter.
Now, even smaller than that,
and again a proper SI unit is 10^-3, that's milli.
We'll call that milli and write it as m. Then you're pretty familiar with millimeters.
What's a millimeter?
0.001 of a meter.
That's quite a common unit.
You've all heard of it.
But even smaller than that by a factor of 1,000 is 10^-6.
10^-6 is smaller by a factor of 1,000 than 10^-3.
It's called micro and written with the Greek letter, Mu.
How might we write that?
We write it for its meters,
micrometers or micrograms.
That is 10^-6.
It's 0.000001.
These are all units you're familiar with.
Then we can get to something even smaller, 10^-9.
That's 1,000 times smaller than 10^-6.
It's called nano.
We've all heard of nanotechnology,
nano science, and so on.
In the university where I work as in many other universities,
people dealing with nanoscience occupy the largest, tallest building.
Nanoscientists can often be in large buildings.
Nano, nanometer here.
Now, can we write how many zeros that is?
That's an awful lot of zeros, 0.000000007.
It's very small.
But even smaller by a power of 1000 is this 10^-12.
10^-12 is a 1,000 of 10^-9.
It's called pico, which is the Italian for something
small and abbreviated p. When might we use this?
We'll use this later on the course,
picometers we'll use when we're trying to talk about the lengths of chemical bonds.
We might say that the length of a particular chemical bond is,
for example, 123 picometers.
We could just say it is 0.123 nanometers,
but many people prefer to use numbers without the decimal point.
They call it 123 picometers,
which is just the same as 0.123 nanometers.
That's all we're going to say at the moment about these units.
We'll meet other units later on.
What we will do in another movie is show how to convert one to the other.
For example, how would one convert picometers to gigameters or some such thing?
How do we do conversions?
That is very important chemistry and we'll meet that in the next movie. Bye.
This video discusses the metric system and the Systeme Internationale (SI) units commonly used by chemists. It explains the basic units of length (meter, m), mass (kilogram, kg), time (second, s), temperature (Kelvin, K), and amount of substance (mole, mol). It also introduces the MKS system (meter, kilogram, second) and prefixes such as mega (M), kilo (k), centi (c), milli (m), micro (μ), nano (n), and pico (p) to express large and small numbers. Finally, it explains how to convert between units.
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