Today’s lesson . . .

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

2. What is it? • We use scientific notation to write very ___________________ or very __________________ numbers. • Scientific notationis 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. LARGE small multiplication ten (10) power Example: 2.5 x 105

3. = 5.9 x 107 Place Decimal AFTER first digit! Count digits to right of decimal point! = 1.4 x 1011 Place Decimal AFTER first digit! Count digits to right of decimal point! From Standard form to scientific notation: 1. 5 9 , 0 0 0 , 0 0 0 2. 1 4 0 , 0 0 0 , 0 0 0 , 0 0 0 = 9.5 x 103 Place Decimal AFTER first digit! Count digits to right of decimal point! = 2.52 x 109 Place Decimal AFTER first digit! Count digits to right of decimal point! 3. 9 , 5 0 0 4. 2 , 5 2 0 , 0 0 0 , 0 0 0

4. From scientific notation to standard form: = 6,320,000,000 Count digits to right of decimal point! 6.32 x 109 6. 3.4 x 105 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! 7. 6 x 104 8. 2.08 x 107 How many more do we need to equal exponent #?? That’s the # of zeros we need!! = 20,800,000 Count digits to right of decimal point! How many more do we need to equal exponent #?? That’s the # of zeros we need!!

5. Comparing numbers in scientific notation: Order the following from least to great: 10. Order the following from greatest to least:

6. NAME:__________________________ DATE: ______/_______/_______ PAIR/CHECK/SWITCH Scientific notation FORM “A”

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

8. Math-7 NOTES DATE: ______/_______/_______ NAME: What: Scientific Notation Why: To convert between #’s written in scientific notation and #’s written in standard form. What is it? • We use scientific notation to write very ____________________________ or • very _________________________ numbers. • Scientific notationis 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 105 From Standard form to scientific notation: 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

9. From scientific notation to standard form: 6.32 x 109 6. 3.4 x 105 7. 6 x 104 8. 2.08 x 107 Comparing numbers in scientific notation: Order the following from least to great: 10. Order the following from greatest to least:

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

11. NAME:__________________________________________________________________________NAME:__________________________________________________________________________ DATE: ______/_______/____________ PRACTICE IT “Scientific notation”