measurement is the process of assigning numbers to quantities. it involves a quantity and a unit
TRANSCRIPT
• Measurement is the process of assigning numbers to quantities. It involves a quantity and a unit.
Measurement
You are making a measurement when you
Check you weight
Read your watch
Take your temperature
Weigh a watermelon
What kind of measurements did you make today?
Measurement Basics
• Length: is the distance of something measured
• Volume/Capacity: how much something can hold ( generally liquid); how much space something takes up
• Mass: amount of matter in an object
US/Customary System/English System
• The US/Customary system has many different units of measurement
• Each unit has a completely different name• They also have completely different
conversion factors
Metric System
• The metric system has base unit and many different prefixes
Metric Units of Measurement
• Meters: Measures length• Liters: Measures volume or capacity• Grams: measures mass
Units of Measurement:Volume
• US System– Cups– Pints– Quarts– Gallons– Fluid Ounces
• Metric System– Liters
Units of Measurement:Length
• US System– Inches– Feet– Yards– Miles
• Metric– Meters
Units of Measurement:Weight/Mass
• US System– Ounce– Pound– Tons
• Metric– Gram
Metric System Prefixes
• Mili- 1/1000, which means that 1000mm=1m• Centi- 1/100, which means that 100cg=1g• Deci- 1/10, which means that 10dl=1l• Deka- 10, which means that 1dkm=10m• Hecto- 100, which means that 1hg=100g• Kilo- 1000, which means that 1kl=1000l
US Conversions
• Length– 1 foot = 12 inches– 1 yard = 3 feet– 1 mile = 5,280 feet
US Conversions
• Volume– 1 cup = 8 fl oz– 1 pint = 2 cups– 1 quart = 2 pints– 1 gallon = 4 quarts
US Conversions
• Weight– 1 lb = 16 oz– 1 ton = 2000 lbs
Measuring Distance in English
Using a measuring tool called a ruler
Where did it come from?
Why 12 inches?
The King’s Foot
One Foot
The King’s Foot
One FootToo big for some things...
...So they used the length of the King’s first knuckle
One Inch
Why 12 inches not 10 or 13?
Simply because it took 12 lengths of his first knuckle to equal his foot.
...So they used the length of the King’s first knuckle
One InchBut that was too big for some other things...
...That’s exactly how they made the fractions between
the inches.
1/2 1/4
...So they cut the inches into fractions
1/2 1/4 1/8 and 1/16
You should have noticed that as the fractions got
smaller, so did the length of the lines between the
whole numbers. That helps to identify a half from the fourths and so
on.
If you don’t remember what the fraction is just
by looking at the, you can always count the number
of lines between the whole numbers. If there are 16, then your ruler is divided into sixteenths.
..then you can do the math to determine the fraction.
If you counted 10 lines from the whole number, that would be 10 sixteenths. Here’s where that “magic number 2” comes in.
To get the fraction to it’s lowest possible denominator DIVIDE both numbers in the fraction by 2 and keep doing it until the top number is odd.
10 = 5 Top number’s odd so 10/16 = 5/816 8
If the fraction comes between two whole numbers like 1 and 2, then the measurement is the first whole number and the fraction in this case it would be 1 and 5/8ths
Name this measurement
A. 1/2B. 1/3C. 1/4D. 5/16
Name this measurement
A. 3/4B. 3/8C. 1-3/4D. 2-3/4
The Metric ruler is much different. Everything is
based on 10
10mm (millimeters) = 1cm (centimeter)100cm= 1m (meter)1m = 100cm (cm = centimeter, cent means 100)1m = 1000mm (mm = millimeter, mil means 1000)
The Metric Ruler
Here’s a meter stick!
It takes 10 decimeters to make up 1 meter.
It takes 10 centimeters to make up 1 decimeter.
If 1 meter = 10 decimetersand
1 decimeter = 10 centimetersthen how many centimeters make
up 1 meter?
That’s right!1 meter = 100 centimeters
100centimeters = 1 meter
It takes 10 millimeters to make up 1 centimeter.
If 1 meter = 10 decimetersand
1 decimeter = 10 centimetersand
1centimeter = 10 millimeters
then how many millimeters make up 1 meter?
That’s right!1000 millimeters = 1 meter
It takes 10 millimeters to make up 1 centimeter.
Millimeters are so small that they almost run together.
Now let’s take a closer look at some
measuring devices.
This is a magnified image of a ruler/meter stick.
1
This is one centimeter.
2 3 4
This is a magnified image of a ruler/meter stick.
1
This is half of a centimeter.
2 3 4
This is a magnified image of a ruler/meter stick.
1
This is one millimeter.
2 3 4
1 2 3 4
This key measures 3 cm.
1 2 3 4
Or you could say that it measures 30 mm.
1 2 3 4
This key measures 2.5 cm.
1 2 3 4
Or, you could say that it measures 25 mm.
1 2 3 4
This toy car measures 4.2 cm.
1 2 3 4
Or, you could say it measures 42 mm.
The metric system deals with powers of 10
1 meter = 10 decimeters =
100 centimeters = 1000
millimeters