1. Name:________________________________________________________________________________Date:_____/_____/__________ Get Homework out FIRST! Then, begin warm-up. Brain blitz/ warm-up Fill-in-the-table : 1) 245,000,000,000 2) 6,050,000 3)5.6 x 10 6 4)4.02 x 10 4 5) Order the following from least to great: 8.02 x 10 2 3.9 x 10 5 9.1 x 10 5 2.05 x 10 6 Answer:

2. Today’s lesson... What: Scientific Notation with Negative exponents Why: To convert between numbers written in scientific notation (w/ negative exponents) and numbers written in standard form.

3. 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. Who remembers what it is? LARGE small multiplication ten (10) power Example: 2.5 x 10 -5 What does it mean when the exponent is negative?

4. From scientific notation... #Scientific Notation Standard Form 1. 2.8 x 10 -4 2. 4.05 x 10 -7 Guided practice: It means that the # will be SUPER SMALL– a DECIMAL!! Count digits to the LEFT of decimal point! How many extra zeros do we need? We need 3 zeros in FRONT! 0.00028 We need 6 zeros in FRONT! 0.000000405

5. #Scientific Notation Standard Form 3. 9 x 10 -6 4. 7.02 x 10 -5 On YOUR OWN: 0.000009 0.0000702

6. 3.0 0 0 0 0 0 7 2.0 0 0 0 1 0 2 From standard form... #Scientific Notation Standard Form 1.0 0 0 0 0 3 4 Guided practice: As soon as you see a DECIMAL number, think NEGATIVE EXPONENT!!!! 3.4 x 10 -5 1.02 x 10 -4 7 x 10 -6 Notice the negative exponent! We still need to move decimal so that we make a number bigger than 1, but less than 10. 4 jumps! 5 jumps! 6 jumps!

7. #Scientific Notation Standard Form 4.0.0000021 5.0.00405 ON YOUR OWN: 2.1 x 10 -6 4.05 x 10 -3

8. Mixed practice: When do we need a positive exponent and when do we need a negative exponent??? #Scientific NotationStandard Form 1 250,000,000 2 0.00000075 3 0.00209 4 5,723,000,000 5 3.6 x 10 4 6 9.004 x 10 7 7 5.9 x 10 -6 8 7.2 x 10 -3 2.5 x 10 8 7.5 x 10 -7 2.09 x 10 -3 5.723 x 10 9 36,000 90,040,000 0.0000059 0.0072

9. 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 slides in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

10. We use scientific notation to write very ____________________________ or very _________________________ numbers. Scientific Notation: 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? Example: 2.5 x 10 -5 From scientific notation... #Scientific NotationStandard Form 1. 2.8 x 10 -4 2. 4.05 x 10 -7 3. 9 x 10 -6 4. 7.02 x 10 -5 examples: Math-7 NOTES DATE: ______/_______/_______ What: Scientific Notation with Negative Exponents Why: To convert between #’s written in scientific notation and #’s written in standard form. NAME: Count digits to the LEFT of decimal point! How many extra zeros do we need? Place zeros IN FRONT!

11. From standard form... #Scientific NotationStandard Form 1.0.000034 2.0.000102 3.0.000007 4.0.0000021 5.0.00405 examples: We still need to move decimal so that we make a number bigger than 1, but less than 10. Remember to use a NEGATIVE exponent!! Mixed practice: #Scientific NotationStandard Form 1 250,000,000 2 0.00000075 3 0.00209 4 5,723,000,000 5 3.6 x 10 4 6 9.004 x 10 7 7 5.9 x 10 -6 8 7.2 x 10 -3 When do we need a positive exponent and when do we need a negative exponent???

12. Homework/ practice DATE: ______/_______/____________ NAME:__________________________________________________________________________ “Scientific Notation” Remember: A really BIG # needs a positive exponent. A # less than one needs a negative exponent! 4.5 x 10 0 -- because the decimal pt. does not need to move.

13. ... continued SOL PREP