4.2b skm & pp 1 exponents: scientific notation. 4.2b skm & pp 2 think about this?
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4.2b S KM & PP 1
Exponents:Scientific Notation
na 10101 a
4.2b S KM & PP 2
Think about this?
000,000,000,8
000,000,000,189108
4.2b S KM & PP 3
How about this?
000000008.0
000000001.089108
4.2b S KM & PP 4
Exponents:Scientific Notation
na 10 101 a
Scientific Notationis useful when writing:
or
4.2b S KM & PP 5
Convert 5,000,000 toScientific Notation
a x 10n , 1 < a < 10
5,000,000Decimal Form
5 x 106
Scientific Notation Form
4.2b S KM & PP 6
Convert 32,000 toScientific Notation
a x 10n , 1 < a < 10
32,000Decimal Form
3.2 x 104
Scientific Notation Form
4.2b S KM & PP 7
Convert 5,403 toScientific Notation
a x 10n , 1 < a < 10
5,403Decimal Form
5.403x 103
Scientific Notation Form
4.2b S KM & PP 8
Convert .05 toScientific Notation
a x 10n , 1 < a < 10
.05Decimal Form
5x 10-2
Scientific Notation Form
4.2b S KM & PP 9
Convert 0.0000082 to
Scientific Notation
a x 10n , 1 < a < 10
0.0000082
Decimal Form
8.2x 10-6
Scientific Notation Form
4.2b S KM & PP 10
Scientific Notation:Problem Summary
Decimal( Floating )
ScientificNotation
5,000,000 5 x 106
32,000 3.2 x 104
5,403 5.403 x 103
.05 5 x 10-2
0.0000082 8.2 x 10-6
4.2b S KM & PP 11
How to enter a Number in Scientific
Notation on the Calculator
EE
EXP
Most scientific calculators have one
of these keys.
Here’s how to enter
3.2 x 104
3.2 EE 4Enter exponent
4.2b S KM & PP 12
A Particle of Dust?
7.53 x 10-10 kg
0.000 000 000 753 kg. is the mass of a dust particle!
4.2b S KM & PP 13
Too Fast to See?
3.00 x 108
m/sec
300,000,000 m/secis the speed of light!
4.2b S KM & PP 14
Earth Facts fromNASA
Average Distance from the Sun 1.4959789 x 108 km
Perihelion (closest) 1.471 x 108 km
Aphelion (farthest) 1.521 x 108 km
Equatorial Radius 6.37814 x 103 km
Mass 5.9737 x 1024 kg
Surface Area 5.100657 x 108 km2
Equatorial Surface Gravity 9.766 m/s2
4.2b S KM & PP 15
A few problems?
Write in scientific notation:
0.00000467
236,000,000,000
893.7 = 8.937 x 102
= 4.67 x 10-6
= 2.36 x 1011
4.2b S KM & PP 16
Let’s go the other way!
Write in decimal notation:
3.4 x 10-2
5.1 x 106= 5,100,000
= 0.034
5 x 10-3= 0.005
4.2b S KM & PP 17
How about Multiplication?
Multiply. Be sure to write the answer
in Scientific Notation:
(3.0 x 10-2)(5.1 x 106)
=(3.0)(5.1)10-2+6
=15.3 x 104
=153,000
=1.53 x 105
4.2b S KM & PP 18
That’s All for Now!
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