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Name:________________________________________________________________________________Date:_____/_____/__________ Get Homework out FIRST! Then, begin warm-up. Quiz day Brain blitz/ warm-up Evaluate the following: 4.Express the answer to 10 -4 in three different ways (repeated multiplication, frac., & decimal) 5. √49 6. √169 7. √121 8. √50 falls between ____ and ____. 1. 3 4 2. 4 -2 3. 10 15

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Today’s lesson... What: Scientific Notation Why: To convert between numbers written in scientific notation and numbers written in standard form.

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We use scientific notation to write very ___________________ or very __________________ numbers. Scientific notation is a # written as a ____________________________________ sentence. The leading factor MUST be a number greater than or equal to 1, but less than _____________. The second factor must be a _________________ of 10. What is it? LARGE small multiplication ten (10) power Example: 2.5 x 10 5

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1. 5 9, 0 0 0, 0 0 0 2. 1 4 0, 0 0 0, 0 0 0, 0 0 0 3. 9, 5 0 0 4. 2, 5 2 0, 0 0 0, 0 0 0 From Standard form to scientific Notation... First, we will place the decimal at the END of the #! Then, we will move the decimal point until we create a number bigger than one, but less than ten... = 5.9 x 10 7 = 1.4 x 10 11 = 9.5 x 10 3 = 2.52 x 10 9 7 jumps... 11 jumps... 3 jumps... 9 jumps...

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From scientific notation to standard form... 5. 6.32 x 10 9 6. 3.4 x 10 5 7. 6 x 10 4 8. 2.08 x 10 7 Count digits to right of decimal point! How many MORE do we need to equal exponent #?? That’s the # of zeros we need!! = 6,320,000,000 = 340,000 = 60,000 = 20,800,000 We need 7 zeros! We need 4 zeros! We need 5 zeros! The exponent does NOT mean # of zeros!!!

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Comparing numbers in scientific notation... 9.Order the following from least to great: 2.5 x 10 7 9.4 x 10 4 3.9 x 10 6 3.9 8.5 x 10 4 2.6 x 10 8 1.9 x 10 4 3.9 10. Order the following from greatest to least: 9.4 x 10 4 3.9 x 10 6 2.5 x 10 7 2.6 x 10 8 8.5 x 10 4 1.9 x 10 4 Which number should we focus on?? The exponent or the first number?! So, remember to focus on the EXPONENT number!! Answer:

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END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

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Name:________________________________________________________________________________Date:_____/_____/__________ PERFECT SQUARE MEMORY CHALLENGE 1² = 1 x 1 = _____ 2² = 2 x 2 = _____ 3² = 3 x 3 = _____ 4² = 4 x 4 = _____ 5² = 5 x 5 = _____ 6² = 6 x 6 = _____ 7² = 7 x 7 = _____ 8² = 8 x 8 = _____ 9² = 9 x 9 = _____ 10² = 10x10 = _____ 11² = 11 x 11 = _____ 12² = 12 x 12 = _____ 13² = 13 x 13 = _____ 14² = 14 x 14 = _____ 15² = 15 x 15 = _____ 16² = 16 x 16 = _____ 17² = 17 x 17 = _____ 18² = 18 x 18 = _____ 19² = 19 x 19 = _____ 20² = 20 x 20 = _____ Name:________________________________________________________________________________Date:_____/_____/__________ PERFECT SQUARE MEMORY CHALLENGE 1² = 1 x 1 = _____ 2² = 2 x 2 = _____ 3² = 3 x 3 = _____ 4² = 4 x 4 = _____ 5² = 5 x 5 = _____ 6² = 6 x 6 = _____ 7² = 7 x 7 = _____ 8² = 8 x 8 = _____ 9² = 9 x 9 = _____ 10² = 10x10 = _____ 11² = 11 x 11 = _____ 12² = 12 x 12 = _____ 13² = 13 x 13 = _____ 14² = 14 x 14 = _____ 15² = 15 x 15 = _____ 16² = 16 x 16 = _____ 17² = 17 x 17 = _____ 18² = 18 x 18 = _____ 19² = 19 x 19 = _____ 20² = 20 x 20 = _____

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We use scientific notation to write very ____________________________ or very _________________________ numbers. Scientific notation is a number written as a _________________________________ sentence. The leading factor MUST be a number greater than or equal to 1, but less than ________________. The second factor must be a ________________________ of 10. Example: 2.5 x 10 5 Math-7 NOTES DATE: ______/_______/_______ What: Scientific Notation Why: To convert between #’s written in scientific notation and #’s written in standard form. NAME: What is it? 1. 5 9, 0 0 0, 0 0 0 = ______________________________________________________________ 2. 1 4 0, 0 0 0, 0 0 0, 0 0 0 =_____________________________________________________ 3. 9, 5 0 0 =________________________________________________________________________ 4. 2, 5 2 0, 0 0 0, 0 0 0 =__________________________________________________________ From Standard form to scientific notation: Place Decimal at the END of the #! Then, move the decimal point until you create a number bigger than one, but less than ten...

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Comparing numbers in scientific notation: 9.Order the following from least to great: From scientific notation to standard form: 5.6.32 x 10 9 =____________________________________________________________________ 6. 3.4 x 10 5 = _____________________________________________________________________ 7. 6 x 10 4 = _____________________________________________________________________ 8. 2.08 x 10 7 = ___________________________________________________________________ 10. Order the following from greatest to least: 2.5 x 10 7 9.4 x 10 4 3.9 x 10 6 3.9 8.5 x 10 4 2.6 x 10 8 1.9 x 10 4 3.9 Answer: Which number should we focus on?? The exponent or the first number?! So, remember to focus on the _________________number!! Count the # of digits to the right of the decimal point. How many MORE do you need to equal the exponent #?? This is the # of zeros!! The exponent does NOT mean # of zeros!!!

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PAIR/CHECK/SWITCH Scientific Notation FORM “A” #Scientific NotationStandard Form Check 1.8.05 x 10 7 _____ 2.24,500 _____ 3.3.28 x 10 9 _____ 4.87,050,000 _____ 5.7.25 x 10 5 _____ 6.9,100,000,000 _____ 7.1.9 x 10 10 _____ 8.225,000,000 _____ 9.9 x 10 4 _____ 10.54,000,000,000,000 _____ NAME:________________________________________________________________________________DATE: _____/_____/__________

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#Scientific NotationStandard Form Check 1.2.15 x 10 7 _____ 2.88,000 _____ 3.9.1 x 10 8 _____ 4.92,080,000 _____ 5.5.09 x 10 6 _____ 6.3,300,000 _____ 7.1.5 x 10 10 _____ 8.199,000,000,000 _____ 9.2 x 10 5 _____ 10.6,040,000,000,000 _____ NAME:________________________________________________________________________________DATE: _____/_____/__________ PAIR/CHECK/SWITCH Scientific Notation FORM “B”

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(turn over) “Scientific Notation” Homework/PRACTICE DATE: ______/_______/____________ NAME:__________________________________________________________________________

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# Scientific NotationStandard Form 1.2.2 x 10 3 2.6,200,000 3.9.351 x 10 6 4.32,050,000 5.4.5 x 10 9 6.425,000,000,000 7.7 x 10 5 8.999,000 9.2.006 x 10 11 10.4,040,000,000... continued

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