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Warm Up

Warm Up. Scientific Notation. Algebra I Seminar. Do You Recognize These Numbers?. The Speed of light! The mass of a dust particle! The mass of a proton! The revolutions of a turntable! The volume of a raindrop!. 300,000,000 m/sec. 0.000 000 000 753 kg

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Warm Up

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  1. Warm Up

  2. Scientific Notation Algebra I Seminar

  3. Do You Recognize These Numbers? The Speed of light! The mass of a dust particle! The mass of a proton! The revolutions of a turntable! The volume of a raindrop! • 300,000,000 m/sec. • 0.000 000 000 753 kg • 0.00000000000000000000000167 • 2750062 • 0.001297

  4. Scientific Notation A more convenient way to express really large or small numbers. How old is the Earth? 4, 600, 000, 000 years old This number is written in decimal notation or standard form. When numbers get this large, it is easier to write them in scientific notation

  5. What does Scientific Notation look like? # x 10 # A number between 1 and 10 Times (multiplication) BASE- In scientific notation there will always be a base of 10! EXPONENT- Power of ten is always an integer.

  6. How do you put a number into Scientific Notation? Where is the decimal point now? After the last zero. Where would you put the decimal to make this number be between 1 and 10? Between the 4 and the 6. 4, 600, 000, 000 years old

  7. The Steps 4, 600, 000, 000 years old • Place a decimal point after the first natural number (counting numbers). 4.6 0 0 0 0 0 0 0 0 2. Count the number of spaces you moved the decimal point! 3. Drop all zeros AFTER the LAST natural number. 4.6 4. Write your “x 10”. 4.6 x 10 5. Tack on your exponent (step 2). Remember, numbers larger than 1 will have positive exponents! 4.6 x 10 9

  8. The Steps 0. 0 0 0 0 0 0 0 2 0 4 • Place a decimal point after the first natural number (counting numbers). 0 . 0 0 0 0 0 0 0 2.0 4 2. Count the number of spaces you moved the decimal point! 3. Drop all zeros BEFORE the FIRST natural number. 2.0 4 4. Write your “x 10”. 2.04 x 10 5. Tack on your exponent (step 2). Remember, numbers smaller than 1 will have negative exponents! 2.04 x 10 -8

  9. Remember!!! Numbers before “x 10” must be between 1 and 10! Numbers bigger than 1 will give you a positive exponent! Numbers smaller than 1 will give you a negative exponent!

  10. Let’s try some! 2, 000, 000, 000 0.0043 1, 203, 000, 000 0. 5 0.030201

  11. Ordering Scientific Notation Order by the exponent! The bigger the exponent, the bigger the number and vice versus! If the exponents are the same, then order by the number in front of the “x 10”!

  12. Place in ascending order!

  13. From Scientific Notation to Standard Form! • Write down the number before the “x 10”. • Move the decimal point the number of spaces that the exponent tells you. • Remember: • Positive moves Right • Negative moves Left Try these!

  14. Multiplying Numbers in Scientific Notation What do we do when we come across this example? (5 x 103) (2 x 102) Multiply the first numbers Multiply the base numbers, so add the exponents Your result: 15 x 105 =1.5 x 106 = 1,500,000

  15. You Try Some! (2 x 10-3) (6 x 10-2) (7 x 105) (3 x 108) (-4 x 102) (3 x 104)

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