Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Per:______________ Date:________________________ Name:___________________________________ H.W. #8: Ditto DO-NOW #8: 1) Order the following set of numbers from least to greatest. Verify your answer by graphing on a number line. Out of the following set of numbers, determine which are rational and which are irrational. 2) The mass of a molecule of penicillin is 10-18 kilogram and the mass of a molecule of insulin is 10-23 kilogram. How many times greater is the mass of a molecule of penicillin than the mass of a molecule of insulin? Topic: The Number System Main Idea: Scientific Notation Aim: ( ) had to go all over NYS to do a survey for a social studies census project. The questions asked within the survey were: 1) How many people like the Yankees better than the Mets? 2) How much money does the best player on the Yankees make a year? 3) How many women in the NYS like sports cars? RECALL NOTES What the last question has to do with the survey, I don’t know. I leave that up to you. Here are the answers that ( ) found out: 1) 100,000,000,000.00000 2) $8,621,000.00 3) 14,000,000.00000 Question: What form of numbers are the answers to questions 1, 2, and 3 written in? Question: How can I write these large numbers in order to lessen the chance of omitting a zero or misplacing the decimal point? Statement: Let us convert the previous numbers from _________ form to ___________ notation. Question: Can you come up with a rule for changing a number from __________ form to ____________ notation? We can write these numbers in ____________ notation. ___________ notation is when a number written is expressed as a ___________ of two f________ors. The first __________ is equal to or greater than _____ but less than _______ and the second factor is a power of ________. ________________ Notation _____________ form 100,000,000,000.0000000 ______________ (move the decimal point _____ spaces to the __________) 8,621,000.00 ____________ (move the decimal point _____ spaces to the __________) 14,000,000.00000000000 ______________ (move the decimal point ____ spaces to the _______) For the first ___________, move the decimal point from the ________ to the _______ to form a number between ______ and ______, (the number could be ____ but not ______ ). For the second ________, form a power of ______ by counting the number of ________ the ________________ to the ________. This power of _____ will be written in ___________ form. RECALL NOTES Question: Can you come up with a rule for changing a number from scientific notation to standard form? Move the ________________ to the _______ “x” number of __________ indicated by the ______________ of the power of ____________. Question: Express 2.483 * 105 in standard form. Move the __________ in 2.483 to the ____________________ because ______ is the _________________ in the power of _______ factor. The new number in ______________ form would be __________________. Question: How would you express a decimal, .000000595, in ___________ notation? Answer: Move the _____________ to the _____________ spaces until the first ___________ is a number between ___ and ______. The second ___________ is written as a power of ________ and your ______________ will be ______________ because you moved to the _________. FINAL ANSWER:______________________ Question: Write 4.16 * 10-3 in _____________ form. Answer: Multiplying by a negative power of ______ moves the _______ to the _________ “x” number of __________ depending upon the absolute value (the number of spaces that number is from zero on a number line) of the _____________________. FINAL ANSWER:______________________ Drill: 1) Express 4.882 * 105 in standard form. SUMMARY: IF TIME: 2) Express 1.19 * 10-5 in standard form. 3) Express 2,085,000,000 in scientific notation. 4) Express 0.054 in scientific notation.