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

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

1. 5 9, 0 0 0, , 0 0 0, 0 0 0, , , 5 2 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 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

From scientific notation to standard form: x x x 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

Comparing numbers in scientific notation: 9.Order the following from least to great: 2.5 x x x x x x Order the following from greatest to least:

PAIR/CHECK/SWITCH DATE: ______/_______/_______ NAME:__________________________ Scientific notation FORM “A” #Scientific NotationStandard Form Check x 10 7 _____ 2.24,500 _____ x 10 9 _____ 4.87,050,000 _____ x 10 5 _____ 6.9,100,000,000 _____ x _____ 8.225,000,000 _____ 9.9 x 10 4 _____ 10.54,000,000,000,000 _____

PAIR/CHECK/SWITCH DATE: ______/_______/_______ NAME:__________________________ Scientific notation FORM “B” #Scientific NotationStandard Form Check x 10 7 _____ 2.88,000 _____ x 10 8 _____ 4.92,080,000 _____ x 10 6 _____ 6.3,300,000 _____ x _____ 8.199,000,000,000 _____ 9.2 x 10 5 _____ 10.6,040,000,000,000 _____

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? , 0 0 0, , 0 0 0, 0 0 0, , , 5 2 0, 0 0 0, From Standard form to scientific notation:

Comparing numbers in scientific notation: 9.Order the following from least to great: From scientific notation to standard form: x x x x Order the following from greatest to least: 2.5 x x x x x x

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

PRACTICE IT DATE: ______/_______/____________ NAME:__________________________________________________________________________ “Scientific notation” #Scientific NotationStandard Form x ,200, x ,050, x ,000,000, x , x ,040,000,000