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 )4.02 x ) Order the following from least to great: 8.02 x x x x 10 6 Answer:

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.

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 What does it mean when the exponent is negative?

From scientific notation... #Scientific Notation Standard Form x x 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! We need 6 zeros in FRONT!

#Scientific Notation Standard Form 3. 9 x x On YOUR OWN:

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

#Scientific Notation Standard Form ON YOUR OWN: 2.1 x x 10 -3

Mixed practice: When do we need a positive exponent and when do we need a negative exponent??? #Scientific NotationStandard Form 1 250,000, ,723,000, x x x x x x x x ,000 90,040,

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.

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 From scientific notation... #Scientific NotationStandard Form x x x x 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!

From standard form... #Scientific NotationStandard Form 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: When do we need a positive exponent and when do we need a negative exponent??? #Scientific NotationStandard Form 1 250,000, ,723,000, x x x x 10 -3

EXIT TICKET DATE: ______/_______/____________ NAME:__________________________________________________________________________ “Scientific Notation” 1) 702,200,000 2) )8.91 x )5.1 x Fill in the table: 5) Order the following from least to greatest: 1.9 x x x x 10 8 Answer: 1) 702,200,000 2) )8.91 x )5.1 x Fill in the table: 1.9 x x x x 10 8 Answer: EXIT TICKET DATE: ______/_______/____________ NAME:__________________________________________________________________________ “Scientific Notation” 5) Order the following from least to greatest:

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 because the decimal pt. does not need to move.

... continued SOL PREP