Transcript PowerPoint Presentation - pams-zell

The table shows the planets and
their distances from the SUN. (in
km)
MERCURY
58,000,000
VENUS
103,000,000
EARTH
155,000,000
MARS
228,000,000
JUPITER
778,000,000
SATURN
1,430,000,000
URANUS
2,870,000,000
NEPTUNE
4,500,000,000
What could be a problem when trying
to write out the distances of the
planets from the sun?
• THINK
• PAIR
• SHARE
Sometimes when numbers are very
large or very small it can be difficult to
keep track of the place value.
• Therefore, we use SCIENTIFIC NOTATION
• Let’s practice writing the distances from the
planet to the Sun in scientific notation!
I will do the first planet: Mercury
The distance is 58,000,000
In scientific notation this would be:
5.8 x 10 7
How did I do that? Can you come up with a rule
for writing numbers in scientific notation?
To write a number in scientific
notation:
• 1. Count the number of spaces to move the decimal so
that there is one number in front of it.
58,000,000.
5.8,000,000
2. DROP ALL OF THE ZEROS!
5.8
3. Multiply by a power of 10. (the exponent is the same
number of SPACES you moved the decimal)
5.8 x 10 7
The table shows the planets and
their distances from the SUN. (in
km)
MERCURY
58,000,000
VENUS
103,000,000
EARTH
155,000,000
MARS
228,000,000
JUPITER
778,000,000
SATURN
1,430,000,000
URANUS
2,870,000,000
NEPTUNE
4,500,000,000
The table shows the planets and
their distances from the SUN. (in
km)
MERCURY
5. 8 x 10 7
VENUS
1.03 x 10 8
EARTH
1.55 x 10 8
MARS
2.28 x 10 8
JUPITER
7.78 x 10 8
SATURN
1.43 x 10 9
URANUS
2.87 x 10 9
NEPTUNE
4.5 x 10 9
SOMETIMES NUMBERS ARE VERY
SMALL:
Red Blood Cell
0.0065 cm
Plant cell
0.005 cm
Animal cell
0.001 cm
Proton
0.000000000000001 m
Neutron
0.000000000000022
Water Molecule
0.0000000003 m
Distance between DNA
pairs
0.00000000034m
SCIENTIFIC NOTATION IS ALSO HELP
WITH VERY SMALL NUMBERS:
• The diameter of a water molecule is
0.0000000003 m
In Scientific Notation this is equivalent to :
3.0 x 10 10
SOMETIMES NUMBERS ARE VERY
SMALL:
Red Blood Cell
0.0065 cm
Plant cell
0.005 cm
Animal cell
0.001 cm
Proton
0.000000000000001 m
Neutron
0.000000000000022
Water Molecule
0.0000000003 m
Distance between DNA
pairs
0.00000000034m
PRACTICE:
• WRITE IN SCIENTIFIC NOTATION:
• 2,000,000
PRACTICE:
• WRITE IN SCIENTIFIC NOTATION:
• 0.000078
PRACTICE:
• WRITE IN SCIENTIFIC NOTATION:
50,000,000
PRACTICE:
• WRITE IN SCIENTIFIC NOTATION:
0.0125
PRACTICE:
• WRITE IN SCIENTIFIC NOTATION:
0.000425
Write in standard form:
4.24 x 10
2
Write in standard form:
3.347 x 10
-1
Write in standard form:
1.5 x 10
-4
Write in standard form:
2.505 x 10
3
Write in standard form:
1.399 x 10
5
• WHY ARE NUMBERS WRITTEN IN SCIENTIFIC
NOTATION?