Transcript Metric to English Standard and back again

Metric to English
Standard
and back again
Units and Standards
• What is a standard?
___________________
___________________
___________________
• Suppose the label on a ball of string
indicates that the length of the string is 150,
would that be a correct answer?
___________________________________
___________________________________
___________________________________
IN SCIENCE CLASS IF YOU ANSWER QUESTIONS WITHOUT NECESSAERY
UNITS - IT WILL BE MARKED INCORRECT!!!
Units and Standards
• A standard is an exact
quantity that people
agree to use to compare
measurements.
• Suppose the label on a ball of string
indicates that the length of the string is 150,
would that be a correct answer?
• For a measurement to make sense, it must
include a number and a unit.
IN SCIENCE CLASS IF YOU ANSWER QUESTIONS WITHOUT NECESSAERY
UNITS - IT WILL BE MARKED INCORRECT!!!
Measurement Systems
• The English system of
measurement is commonly
used in the United States.
• Most other nations and scientists
use the metric system—a system
of measurement based on
multiples of ten.
•In this class we will work in the metric system.
So for the next few days we will review and
learn to convert between the two.
What We Need to Know:
Length:
2.54 cm = 1 in
Mass:
453.6 g = 1 lb
Volume:
29.58 ml = 1 fl oz
What you should already know:
How many…
Length
Inches in a foot ___________
Feet in a yard ____________
Feet in a mile ____________
Mass
Ounces in a pound _______
Pounds in a ton __________
Volume
Fluid ounces per cup _______
Cups per pint _____________
Pints per quart ____________
Quarts per gallon __________
What you should already know:
How many…
Length
Inches in a foot ______12____
Feet in a yard _______3_____
Feet in a mile _______5280__
Mass
Ounces in a pound ______16_
Pounds in a ton _______2000_
Volume
Fluid ounces per cup ____8___
Cups per pint __________2___
Pints per quart _________2___
Quarts per gallon _______4___
More stuff you should know:
As I go up the chart my numbers will get smaller
As I go down the chart my numbers will get larger
Metric Table
Prefix (Symbol)
Mathematical Meaning
Word Meaning
Tera (T)
1012
trillion
Giga (G)
109
billion
Mega (M)
106
million
Kilo (k)
103
thousand
Hecto (h)
102
hundred
Deca (da)
101
ten
one
Deci (d)
10-1
tenth
Centi (c)
10-2
hundredth
Milli (m)
10-3
thousandth
Micro ()
10-6
millionth
Nano (n)
10-9
billionth
Pico (p)
10-12
trillionth
When I move up the decimal moves to the left, when I move down the decimal moves to the right
How to convert from one to standard another
Start by - Looking at the problem as a fraction.
Recall - If I put a one under any number it is still a whole number
i.e. 5 can be written as 5
1
Recall - If I write 5 it is equal to one
5
Other units can be looked at in the same way
If 2.54 cm = 1 inch then 1 inch = 2.54 cm
They can be written in a fraction two ways:
2.54 cm
1 inch
or
1 inch
2.54 cm
Both equal one whole just like 5 did.
5
How to convert from one to standard another ctd…
I can use this to my advantage when converting from one system
to another. Lets take a look at an example:
I sharpened my pencil until it is 4 inches long, what is
its length in centimeters?
First I look at the problem as a fraction and make the
pencil as 4 in
1
Next I look at what it is asking for? Centimeters. I know
that 2.54 cm = 1 inch
Recall – when working with fractions you may reduce.
i.e. 4 X 5 reduces to 4 x 1 This makes working with
5 1
1 1
the fraction easier!
How to convert from one to standard another ctd…
I sharpened my pencil until it is 4 inches long, what is its length
in centimeters?
Now – I have two numbers written as:
4 in and 2.54 cm or 1 inch
1
1 inch
2.54 cm
BECAUSE I want to make my conversion easy I always put
the units I want to clear on the bottom. So I will write an
equation that looks like this:
(
4 in
1
cm
)( 2.54
)=
1 in
Remember – to reduce your fraction! Units will reduce too as long
as they are the same SOOO you may reduce inches out!
(
4 in
1
cm
)( 2.54
)=
1 in
How to convert from one to standard another ctd…
Finally – Do the math!
(
4 in
1
)(
2.54 cm
1 in
)=
10.16 cm
1
OR just
10.16 cm
The largest pumpkin ever grown was
1725 pounds (2009), how much did it
weigh in kilograms? Hint 0.4563 Kg = 1 lb
The largest pumpkin ever grown was
1725 pounds (2009), how much did it
weigh in kilograms? Hint 0.4563 Kg = 1 lb
First I look at the problem as a
fraction and make the pumpkin
n
1725lbs
1
Next I look at what it is asking
for? Kilograms. I know that
0.4563 Kg = 1 lb
Now – I have two numbers written as:
1725 lbs and 0.4563 Kg or 1 lb
1
1 lb
4563 Kg
BECAUSE I want to make my conversion easy I always put
the units I want to clear on the bottom. So I will write an
equation that looks like this:
(
1725 lbs
1
)(
0.4563 Kg
1 lb
)=
Remember – to reduce your fraction! Units
will reduce too as long as they are the same
SOOO you may reduce pounds out!
Kg
( 17251lbs )( 0.4563
)=
1 lb
Finally – Do the math!
(
1725 lbs
1
)(
0.4563 Kg
1 lb
)=
787.12 Kg
Now lets look at metric to metric conversion
Q - Using the same pencil that is 10.16 cm, what
would its length be in millimeters?
Looking back at the table I can see
that there are 10 millimeters in a
centimeter.
So I could write:
1 cm or 10 mm
10 mm
1 cm
Just like I did before.
Prefix
(Symbol)
Mathematical
Meaning
Word Meaning
Tera (T)
1012
trillion
Giga (G)
109
billion
Mega (M)
106
million
Kilo (k)
103
thousand
Hecto (h)
102
hundred
Deca (da)
101
ten
one
Deci (d)
10-1
tenth
Centi (c)
10-2
hundredth
Milli (m)
10-3
thousandth
Micro ()
10-6
millionth
Nano (n)
10-9
billionth
Pico (p)
10-12
trillionth
Now lets look at metric to metric conversion ctd…
Q - Using the same pencil that is 10.16 cm, what would its
length be in millimeters?
Remember that BECAUSE I want to make my conversion easy I
always put the units I want to clear on the bottom. So I will write an
equation that looks like this:
(
)(
10.16 cm
1
)=
10 mm
1 cm
Remember I can clear the units in the fractions like before
Finally – Do the math!
10.16 cm
1
(
)(
10 mm
1 cm
)=
101.6 mm
1
Which you know is just 101.6 mm!
Metric and Standard Conversions Worksheet