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September

September. Scientific Notation Notes. Count all the stars in this picture, be as accurate as you can. Scientific Notation. Scientific Notation- is a way to write a number multiplied by a power of ten. Makes numbers easier to work with. Scientific Notation. RULE:

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September

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  1. September Scientific Notation Notes

  2. Count all the stars in this picture, be as accurate as you can.

  3. Scientific Notation • Scientific Notation- is a way to write a number multiplied by a power of ten. • Makes numbers easier to work with

  4. Scientific Notation RULE: #’s that are greater than 1 have a POSITIVEexponent • EXAMPLE 300,000,000 • 3.0 x 108= 300,000,000 • it must be a number between 1 and 10 • this is always there ( x 10 ) • this is the number of places the decimal point is moved.

  5. Scientific Notation #’s that are less than 1 (0.blah) have a NEGATIVEexponent • EXAMPLE .0027 • 2.7 x 10 –3 = 0.0027 • number between 1 and 10 • always there • the number of places the decimal point is moved.

  6. Positive EXAMPLE • 3.0 x 108= 300,000,000 • number between 1 and 10 • 10 is always there • the number of places the decimal point is moved. • If the starting number is positive (10 8), move the decimal to the right. • If the starting number is greater then 10 (3000,000,000), move the decimal to the left.

  7. Negative EXAMPLE 2.7 x 10 –3 = 0.0027 • number between 1 and 10 • 10 always there • the number of places the decimal point is moved. • If the starting number is negative (10 -3), move the decimal to the left. • If the starting number is less then one (.0027), move the decimal to the right.

  8. Step by step 5,000,000,000 Write in scientific notation

  9. Step by Step 5,000,000,000.0 add decimal point if It is not already there

  10. Step by Step 5,000,000,000.0 Your answer needs to be a number between 1-9. In this example, the answer should be 5.

  11. Step by Step 5,000,000,000.0 Count the number of places the decimal will need to be moved to get that whole number.

  12. Step by Step 5, 0 0 0 , 0 0 0, 0 0 0 .0 9 8 7 6 5 4 3 2 1

  13. Step by Step 5. 0 0 0 0 0 0 0 0 0 You moved it 9 places

  14. Step by step 5. Remove the extra zeros

  15. Step by step 5.0 x 10 Write down the X symbol and the 10 because they are always there.

  16. Step by Step 5.0 X 10 9 Write the exponent behind the10.This number should be the number of places you moved the decimal point.

  17. Multiplication – Step 1. multiply numbers before the X sign. Step 2. add the exponents. Step 3. Simplifyto a number between 1-10 For Example: (4 x 102) x (4 x 102) = =16x104 =1.6 x10 5

  18. Division – Step 1.divide the numbers before the x sign Step 2. subtract exponents Step 3. Simplify to a number between 1-10 For example: (4 x 102) / (4x103) = =1 x 10-1 For example: (4 x 103) / (4x102) = =1 x 101

  19. Scientific Notation • Addition/Subtraction- exponents must be the same. • If exponents aren’t same, change the numbers before the x sign to do the math. • If exponents are same, do math, keep exponent same.

  20. Scientific Notation • Addition/Subtraction- exponents must be the same. • If exponents aren’t same, change the numbers before the x sign to do the math. • If exponents are same, do math, keep exponent same.

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