Scientific Notation
• How long would it take to count to one million?
• How many atoms are in one cup of water?
• What is the mass of the earth in grams?
• What is the rest mass of a single electron?
Scientific Notation
23 days.• It might not seem like it
but a million is a big number but small when compared to other much larger numbers in science.
Scientific Notation
24,000,000,000,000,000,000,000,000
• One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans.
Scientific Notation
24,000,000,000,000,000,000,000,000
• One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans.
sextillion septillion quintillion quadrillion trillion billion million thousand hundred
Scientific Notation
Which number is easier to use?
0.000000000000000000000000000000911kg or 9.11x10-31kg
24,000,000,000,000,000,000,000,000g or 2.4 x1025
6,000,000,000,000,000,000,000,000,000g or 6 x10^27
€
Fg = (0.0000000000667)(1989100000000000000000000000000)( 5972190000000000000000000)
( 149600000000)2
€
Fg = (6.67x10-11)(1.9891x1030 )( 5.97219x1024 )
( 1.496x1011)2
Calculating the force of gravity the sun exerts on the earth.
Multiplication and Division are easier!
Scientific Notation
An abbreviation for very large and very small numbers in science.
€
6.022 x 1023
1a) Identify five objects smaller than the eye can see.1b) Briefly Describe what the object is.1c) Express its size in scientific and standard notation.
2a) Find five objects bigger than the sun.2b) Briefly Describe what the object is.2c) Express its size in scientific and standard notation.
3) Is the sun a large object on astronomical scales?
4) What is scientific notation and why do we use it?
Click the Picture of a Link, if that is Down Click Here.
Order of Magnitude: Using the scale of the universe app, what order of magnitude do the following objects have in meters?
Express them in scientific notation and include a fact about them.
• A Human Being• Titanic• Boeing 747• Hummingbird• Mitochondrion• A Blue Whale• Angel Falls • Tyrannosaurus Rex• String• Up Quark• Water Molecule• Mount Everest• Ant• Ganymede• Proxima Centauri
• Observable Universe• Total Human Height• Sirius A• Kuiper Belt• Gomez’s Hamburger• Glucose• Tarantula Nebula• Andromeda Galaxy• A Light Year
ESTIMATE• Height of School• Telephone Pole• Length of CT• Distance of US
• Length of Mall• Height of Holy Land• Diameter of Golf Ball• Length of Pencil• Thickness of Paper
The Number of Golf balls that could fit:
• On a school bus.• In a suitcase• In our classroom• In a bathtub
BINGO! Guess How Many Jelly Beans are in the Jar and Win it!
Scientific Notation
An abbreviation for very large and very small numbers in science.
€
6.022 x 1023
Some number written in the form A x 10B
one non-zero number to the left of a decimal point.Move decimals left or right and count the spaces.
Moving Left = positive exponent (big numbers)Moving right = negative exponent (small numbers)
100 1000 24,000
365,445 2
0.0010.000001
0.00009045.03 x 106
4.3x10-8
1. Where is the decimal?2. Where do I want it?3. How far did I move it?4. Negative or Positive?
1234 1,020,000
18,30054,234,0124 million
0.00109
0.00000000340.0000904
1/1012 thousandth
2.345x109
3.03 x 108
2.1x10-6
9x10-31
Convert to Scientific Notation
Convert to Standard Notation
Scientific Notation
An abbreviation for very large and very small numbers in science.
€
6.022 x 1023
€
Fg = (0.0000000000667)(1989100000000000000000000000000)( 5972190000000000000000000)
( 149600000000)2
€
Fg = (6.67x10-11)(1.9891x1030 )( 5.97219x1024 )
( 1.496x1011)2
Calculating the force of gravity the sun exerts on the earth.
6.67 x 1.9891 x 5.97219 x 10 (-11 + 30 + 24)
1.496 x 1.496 x 10 (11+11)
(2x102) + (4x101) =
(2.5x104) + (4.4x103) =
Convert to same power.Keep the exponent.Add the leading numbers
(4.45x109) x (3.43x100) =(2.5x105) x (3x106) =(4x1013) x (3x102) =(2x104) x (3.5x102) =(2.5x104) - (4.4x103) =(2x102) - (4x101) =(3.6x105) + (4x106) =
Convert to same power.Keep the exponent.
Add the leading numbers
Multiplying
Multiply the Leading numbersAdd the Exponents
Divide the Leading numbersSubtract the Exponents
Dividing
Adding and Subtracting(9x106)(3x104)
(9.34x106)(3.85x104)
(4x104)(8x106)
(12x106)(3x107)
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