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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: Place Decimal AFTER first digit! Count digits to right of decimal point! = 5.9 x 10 7 Place Decimal AFTER first digit! Count digits to right of decimal point! = 1.4 x 10 11 Place Decimal AFTER first digit! Count digits to right of decimal point! = 9.5 x 10 3 Place Decimal AFTER first digit! Count digits to right of decimal point! = 2.52 x 10 9

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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 Count digits to right of decimal point! How many more do we need to equal exponent #?? That’s the # of zeros we need!! = 340,000 Count digits to right of decimal point! How many more do we need to equal exponent #?? That’s the # of zeros we need!! = 60,000 Count digits to right of decimal point! How many more do we need to equal exponent #?? That’s the # of zeros we need!! = 20,800,000

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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 7 3.9 10. Order the following from greatest to least:

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PAIR/CHECK/SWITCH DATE: ______/_______/_______ NAME:__________________________ 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 _____

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PAIR/CHECK/SWITCH DATE: ______/_______/_______ NAME:__________________________ Scientific notation FORM “B” #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 _____

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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:

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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 7 3.9

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

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PRACTICE IT DATE: ______/_______/____________ NAME:__________________________________________________________________________ “Scientific notation” #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

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