the table shows the planets and their distances from the sun. (in km)
DESCRIPTION
The table shows the planets and their distances from the SUN. (in km). 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. - PowerPoint PPT PresentationTRANSCRIPT
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. 5.8,000,0002. DROP ALL OF THE ZEROS!
5.83. 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?