Scientific Notation

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Transcript Scientific Notation

Daily Quiz:
1.
A.
B.
C.
D.
Daily Quiz:
Which of the following is a
base unit?
volume
length
density
velocity
2.
A.
B.
C.
D.
Daily Quiz:
If there were such a thing
as a megadollar, it would
be worth
$1,000
$100,000
$1,000,000
$100,000,000
3.
A.
B.
C.
D.
Daily Quiz:
Density is equal to
mass x volume
mass ÷ volume
volume ÷ mass
length x width x height
4.
A.
B.
C.
Daily Quiz:
Adamantium has a density
3
of 6g/cm . which of the
following samples is made
of adamantium?
3
mass = 36 g, vol = 12 cm
mass = 9 g, vol = 1.5cm3
3
mass = 3 g, vol = 2 cm
1.
A.
B.
C.
D.
Daily Quiz:
Which of the following is a
base unit?
volume
length
density
velocity
1.
A.
B.
C.
D.
Daily Quiz:
Which of the following is a
base unit?
volume
length
density
velocity
2.
A.
B.
C.
D.
Daily Quiz:
If there were such a thing
as a megadollar, it would
be worth
$1,000
$100,000
$1,000,000
$100,000,000
2.
A.
B.
C.
D.
Daily Quiz:
If there were such a thing
as a megadollar, it would
be worth
$1,000
$100,000
$1,000,000
$100,000,000
3.
A.
B.
C.
D.
Daily Quiz:
Density is equal to
mass x volume
mass ÷ volume
volume ÷ mass
length x width x height
3.
A.
B.
C.
D.
Daily Quiz:
Density is equal to
mass x volume
mass ÷ volume
volume ÷ mass
length x width x height
4.
A.
B.
C.
Daily Quiz:
Adamantium has a density
3
of 6g/cm . which of the
following samples is made
of adamantium?
3
mass = 36 g, vol = 12 cm
mass = 9 g, vol = 1.5cm3
3
mass = 3 g, vol = 2 cm
4.
A.
B.
C.
Daily Quiz:
Adamantium has a density
3
of 6g/cm . which of the
following samples is made
of adamantium?
3
mass = 36 g, vol = 12 cm
mass = 9 g, vol = 1.5cm3
3
mass = 3 g, vol = 2 cm
Tonight’s Homework:
• Read pages 31-33
• Work practice problems
12, 13, 14, 15, 16
Today we will…
1. Learn about scientific notation
2. See the effect of adding 40
zeros to a number.
Scientific Notation
Used to write very
big
and very small numbers.
Scientific Notation
•Move the decimal place so that the
number is between 1 and 10
•Count how many spaces you moved
the decimal point
•If you moved it to the left, the
exponent is positive; to the right, it
is negative.
Scientific Notation
The diameter of the sun is
1,390,000,000 m
Scientific Notation
The diameter of the sun is
1,390,000,000 m
9
1.39 x 10 m
Scientific Notation
The diameter of the sun is
1,390,000,000 m
9
1.39 x 10 m
Scientific Notation
The mass of a proton is
0.000,000,000,000,000,0
00,000,000,001,672,62 kg
Scientific Notation
The mass of a proton is
0.000,000,000,000,000,0
00,000,000,001,672,62 kg
1.672,62 x
-27
10
Scientific Notation
Adding:
If the exponents are the same,
add the factors and leave the
exponents alone.
Scientific Notation
Adding numbers is easy if the
exponent is the same.
2
10
7.35 x
m
2
+ 2.43 x 10 m
Scientific Notation
Adding numbers is easy if the
exponent is the same.
2
10
7.35 x
m
2
+ 2.43 x 10 m
2
9.78 x 10 m
Scientific Notation
If the exponents are not the
same, you have to move the
decimal point on one of the
numbers to make them the
same.
Scientific Notation
6
10
+
4.38 x
7
1.51 x 10
?
Scientific Notation
6
10
+
4.38 x
7
1.51 x 10
1.51 x
7
10
= 15.1 x
6
10
Scientific Notation
6
10
4.38 x
6
+ 15.1 x 10
6
19.48 x 10
Scientific Notation
6
10
4.38 x
6
+ 15.1 x 10
6
19.48 x 10
Scientific Notation
6
10
4.38 x
6
+ 15.1 x 10
6
19.48 x 10
=
1.948 x
7
10
Scientific Notation
6
10
4.38 x
6
+ 15.1 x 10
6
19.48 x 10
=
1.948 x
The factor
got smaller
7
10
Scientific Notation
6
10
4.38 x
6
+ 15.1 x 10
6
19.48 x 10
=
1.948 x
The factor
got smaller
7
10
The exponent
gets bigger
Scientific Notation
Multiplying:
Multiply the factors and add the
exponents. (The exponents do
not have to be the same.)
Scientific Notation
4
10
2x
5
x 3 x 10
6x
9
10
Homework
• Read pages 31-33
• Work practice problems
12, 13, 14, 15, 16