ScientificNotation
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Scientific
Notation
Seo
Physics
What is Scientific Notation?
Scientific
Notation
Rule
Scientific
Notation
Rule (Con.)
Scientific Notation Practice
•
Change the following numbers to scientific notation.
•
(1) 378320000
•
ANS:
3.7832*10
8
•
(2) 0.0067301
•
ANS:
6.73*10
-3
•
Change the following numbers to decimal notation.
•
(3) 7.05 x10
9
(4) 2.0367 x10
-3
•
ANS:
7050000000
ANS:
0.0020367
Do-It-Yourself (DIY)
•
Convert into Scientific or Decimal Notation for the following:
•
9.123 x 10
2
•
ANS:
912.3
•
7 x 10
4
•
ANS:
70000
•
1.1 x 10
-2
•
ANS:
0.011
Calculator
Scientific
Function
Scientific Notation with Sig Figs
•
Multiplication and Division
•
“
EE” “x
y
” or “10
x
”
on the calculator is the same as *10
power
•
When you multiply or divide 2 or more numbers, the result MUST
have a specific number of Sig Figs.
•
Whichever number
has the
least
Sig Figs, the result will have the same number of Sig
Figs as it.
Example 1
•
Find the solution in terms of Scientific Notation with correct Sig Figs:
•
3.42 X 10
5
•
4.67 X 10
9
•
3.42E5 * 4.67E9
•
10
5
x 10
9
=10
5+9
=10
14
•
1.597 X 10
15
•
BUT!! Sig Figs
•
FINAL ANS
:
1.60 X 10
15
•
2.93 X
10
-2
•
8.3 X 10
5
•
FINAL ANS:
2.4 X 10
4
Multiplication Example
Calculate the following expressions with the correct number of Sig Figs:
•
1) 12.3 x 20
•
12.3 has
3
Sig Figs
•
20 has
1
Sig Fig
•
ORIGINAL ANS:
246
•
FINAL ANS:
200
1
Sig Fig
•
2) 12.3 x 20.0
•
12.3 has
3
Sig Figs
•
20.0 has
3
Sig Figs
•
ORIGINAL ANS:
246
•
FINAL ANS:
246
3
Sig Figs
Delve into the realm of scientific notation in the field of physics to comprehend the significance and application of this fundamental concept. Explore how scientific notation simplifies expressing large and small numbers, facilitating precision in calculations and measurements. Uncover how physicists leverage scientific notation to navigate the vast scales of the universe, from subatomic particles to cosmic dimensions. Enhance your understanding of scientific notation's role in deciphering the intricacies of the physical world and its indispensable utility in the study of natural phenomena.
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Presentation Transcript
ScientificNotation Seo Physics
What is Scientific Notation? Simple means for writing very large orsmall numbers, and involve powersof 10 For Example: 3.2 x 105 7.01 x 10 3 ??
Scientific Notation Rule
Scientific Notation Rule (Con.)
Scientific Notation Practice Changethe followingnumbers toscientificnotation. (1) 378320000 ANS: 3.7832*108 (2) 0.0067301 ANS: 6.73*10-3 Changethe followingnumbers todecimalnotation. (3) 7.05 x109 ANS: 7050000000 ANS: 0.0020367 (4) 2.0367 x10-3
Do-It-Yourself (DIY) Convert into Scientific or Decimal Notation for the following: 9.123 x 102 ANS: 912.3 7 x 104 ANS: 70000 1.1 x 10-2 ANS: 0.011
Calculator Scientific Function
Scientific Notation withSig Figs Multiplication and Division EE xy or 10x on the calculator is the same as *10power Whenyou multiply or divide 2 or more numbers, the result MUST have a specific number ofSig Figs. Whichever number has the leastSig Figs, the result will have the same number ofSig Figs as it.
Example 1 Find the solution in terms of Scientific Notation with correct Sig Figs: 3.42 X 105 4.67 X 109 3.42E5 * 4.67E9 105x 109=105+9=1014 1.597 X 1015 BUT!! Sig Figs FINAL ANS: 1.60 X 1015 2.93 X 10-2 8.3 X 105 FINAL ANS:2.4 X 104
Multiplication Example Calculate the followingexpressions with the correct number of Sig Figs: 1) 12.3x20 12.3 has 3Sig Figs 20 has 1Sig Fig ORIGINAL ANS: 246 FINAL ANS: 200 2) 12.3x20.0 12.3 has 3Sig Figs 20.0 has 3Sig Figs ORIGINAL ANS: 246 FINAL ANS: 246 1Sig Fig 3 Sig Figs
