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Exponents:Scientific Notation

na 10101 a

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Think about this?

000,000,000,8

000,000,000,189108

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How about this?

000000008.0

000000001.089108

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Exponents:Scientific Notation

na 10 101 a

Scientific Notationis useful when writing:

or

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Convert 5,000,000 toScientific Notation

a x 10n , 1 < a < 10

5,000,000Decimal Form

5 x 106

Scientific Notation Form

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Convert 32,000 toScientific Notation

a x 10n , 1 < a < 10

32,000Decimal Form

3.2 x 104

Scientific Notation Form

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Convert 5,403 toScientific Notation

a x 10n , 1 < a < 10

5,403Decimal Form

5.403x 103

Scientific Notation Form

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Convert .05 toScientific Notation

a x 10n , 1 < a < 10

.05Decimal Form

5x 10-2

Scientific Notation Form

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Convert 0.0000082 to

Scientific Notation

a x 10n , 1 < a < 10

0.0000082

Decimal Form

8.2x 10-6

Scientific Notation Form

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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

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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

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A Particle of Dust?

7.53 x 10-10 kg

0.000 000 000 753 kg. is the mass of a dust particle!

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Too Fast to See?

3.00 x 108

m/sec

300,000,000 m/secis the speed of light!

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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

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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

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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

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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

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That’s All for Now!