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Warm Up: 2-10-14

Warm Up: 2-10-14. Simplify the following. Them find the value Example:. Multiplying by Powers of 10. Patterns with Positive Powers of 10. Patterns with Positive Powers of 10. Analyzing Positive Powers of 10.

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Warm Up: 2-10-14

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  1. Warm Up: 2-10-14 • Simplify the following. Them find the value Example:

  2. Multiplying by Powers of 10

  3. Patterns with Positive Powers of 10

  4. Patterns with Positive Powers of 10

  5. Analyzing Positive Powers of 10 • What is the connection between the exponent on the 10 and the number of 0’s after the 1? _____________________________________________________________________________________________________________ • What is the connection between the exponent on the 10 and the number of times we moved the decimal point? ______________________________________________________________________________________________________________ • What direction did we move the decimal point? ______________________________________________________________________________________________________________________

  6. Analyzing Positive Powers of 10 • What is the connection between the exponent on the 10 and the number of 0’s after the 1? The exponent tells how many zeros are after the 1 • What is the connection between the exponent on the 10 and the number of times we moved the decimal point? The exponent tells us how many times to move the decimal point • What direction did we move the decimal point? Right

  7. Guided Practice • Using the information you just found, write the following in standard form • 6.7 × 2. 6.1 × 3. 1.6 × 4. 3.46 × 5. 2.91 × 6. 8.651 ×

  8. Guided Practice • Using the information you just found, write the following in standard form • 6.7 × =672. 6.1 × =61000 3. 1.6 × =16004. 3.46 × =346 5. 2.91 × =2910006. 8.651 × =86520000

  9. Patterns with Negative Powers of 10

  10. Patterns with Negative Powers of 10

  11. Analyzing Patterns with Negative Powers of 10 • What is the connection between the exponent on 10 and the number of 0’s after the decimal point? ________________________________________________________________________________________________________________ • What is the connection between the exponent on 10 and the number of times we move the decimal point? ________________________________________________________________________________________________________________ • What direction are we moving the decimal when there is a negative exponent on the 10

  12. Analyzing Patterns with Negative Powers of 10 • What is the connection between the exponent on 10 and the number of 0’s after the decimal point? The number of 0’s is one less than the exponent • What is the connection between the exponent on 10 and the number of times we move the decimal point? The exponent tells us how many times to move the decimal point • What direction are we moving the decimal when there is a negative exponent on the 10? Left

  13. Practice • Using the information from the previous slide, write the following in standard form 7. 3.35 × 8. 7.3 × 9. 1.49 × 10. 4.0027 × 11. 5.2277 × 12. 8.50284 ×

  14. Practice • Using the information from the previous slide, write the following in standard form 7. 3.35 × =0.335 8. 7.3 × =0.0000073 9. 1.49 × =.00000014910. 4.0027 × =0.00040027 11. 5.2277 × =.005227712. 8.50284 × =0.0850284

  15. What did we just find? • We just found the standard form for Scientific Notation • Scientific Notation is a way to write Small and Large numbers in a form that makes it easy to calculate and compare numbers that are too large or small to work with. • We write Scientific Notation as a number between 1 and 10 multiplied by a power of 10

  16. Writing Numbers in Scientific Notation

  17. Writing Really Big Numbers into Scientific Notation

  18. Writing Really Big Numbers into Scientific Notation

  19. Analyzing Writing Big Numbers in Scientific Notation • What kind of exponent do we use when writing Big Numbers into Scientific Notation? ______________________________________________________________________________ • How do we know what positive number to use for the exponent on the 10 when we write a Big Number in Scientific Notation? ______________________________________________________________________________ • What direction do we move the decimal point when writing big numbers in Scientific Notation? ______________________________________________________________________________ • Why is the exponent positive when we write big numbers in Scientific Notation? ______________________________________________________________________________ • What is the connection between the exponent on the 10 and the number of numbers after the decimal point? ______________________________________________________________________________

  20. Analyzing Writing Big Numbers in Scientific Notation • What kind of exponent do we use when writing Big Numbers into Scientific Notation? We use a positive exponent • How do we know what positive number to use for the exponent on the 10 when we write a Big Number in Scientific Notation? We count how many times we move the decimal point • What direction do we move the decimal point when writing big numbers in Scientific Notation? Right • Why is the exponent positive when we write big numbers in Scientific Notation? ______________________________________________________________________________ • What is the connection between the exponent on the 10 and the number of numbers after the decimal point? The exponent tells us how many numbers should be after the decimal point

  21. Writing in Scientific Notation • Write the following numbers in Scientific Notation 13. 34 14. 273 15. 79,700 16. 6,590 17. 4,733,800 18. 2,204,000,000

  22. Writing in Scientific Notation • Write the following numbers in Scientific Notation 13. 34 =14. 273 15. 79,700=16. 6,590 17. 4,733,800=18. 2,204,000,000

  23. Writing Really Small Numbers into Scientific Notation

  24. Analyzing Writing Really Small Numbers in Scientific Notation • What kind of exponent for the 10 do we use when writing Small Numbers in Scientific Notation? _____________________________________________________ • How do we know what the negative number will be for the exponent on the 10 when writing Small Numbers in Scientific Notation? _______________________________________________________ • What direction do we move the decimal point when we write small numbers into Scientific Notation? ______________________________________________________ • Why is the exponent negative when we write small numbers in Scientific Notation? __________________________________________________________

  25. Analyzing Writing Really Small Numbers in Scientific Notation • What kind of exponent for the 10 do we use when writing Small Numbers in Scientific Notation? Negative • How do we know what the negative number will be for the exponent on the 10 when writing Small Numbers in Scientific Notation? Count how many times we moved the decimal • What direction do we move the decimal point when we write small numbers into Scientific Notation? Right • Why is the exponent negative when we write small numbers in Scientific Notation? __________________________________________________________

  26. Practice • Write the following numbers in Scientific Notation 19. 0.00916 =20. 0.29 21. 0.00000571=22. 0.0008331 23. 0.0121=24. 0.00000018

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