By Ari Key & Bali Tobtaen Scientific Notation By Ari Key & Bali Tobtaen

fACTS of scientific notation Scientific Notation makes # easier to work with Scientific notation is when the decimal place could be moved within the #’s of 1-10 Scientific notation is easier to read Adding the power of tens will tell you how many places the decimal has been moved The first # is called the coefficient The second # is called the base The third # is called the exponent

History of scientific notation Scientific notation was created by a very wise mathematician who lived long ago. He is commonly referred to as Descartes, and officially created scientific notation in 1637. Archimedes invented the use of scientific notation and power of ten counting so that the Greek alphabet system could be eliminated from the counting system. Archimedes also discovered the exact value of Pi.

Real world settings use scientific notation Engineering (such as Electrical Engineering, using Coulomb Charge etc) Astronomy (use scientific notations to measure extremely long distances) Medicine (Use very small amount of a chemical in terms of moles) http://www.xpmath.com/careers/topicsresult.php?subjectID=1&topicID=14

Rules/scientific to standard form examples The # of the coefficient has to be within 1-10 The base will always to be 10 If the exponent is positive the decimal will move to the right if the exponent is negative it is going to be moved to the left Examples 7.52× 𝟏𝟎 𝟑 3.8× 𝟏𝟎 −𝟑

scientific notation to standard Examples 6.3× 10 2 3.900× 10 −6

Try it out 2.8× 10 5 8.2587× 10 4 9.812× 10 −3 7.423× 10 −4

standard to scientific notation Rules Move the decimal until your number appears to be between 1 and 10 count the spaces that you move the decimal. use the number of spaces as the exponent of 10 (the base) if the original number was greater than 10, the exponent is positive, if the original number was less than 1 then the exponent is negative.

examples Examples 0.00007 6,500,00 100,000,000 0.00000003

Try it out 90,000 0.000000543 3,000,000 0.0000987

Video time https://www.khanacademy.org/math/arithmetic/exponents-radicals/scientific-notation/v/scientific-notation

Question time Question What are the three main parts of a scientific notation? What # does the base have to be? Who invented the use of scientific notation? If the exponent is negative where does the decimal need to move?

Coefficient, base, and exponent 10 Archimedes Left Answers Coefficient, base, and exponent 10 Archimedes Left