REALLY BIG & REALLY small Numbers Scientific Notation - process of writing very large and very small numbers.

Scientific Notation The Proper Format  M x 10n “M” is a non-zero integer > 1 but < 10 “n” is an exponent = to the number of decimal places one must move the decimal to acquire the single digit M value. “n” is negative if a you must move the decimal to right. ( Small Number) “n” is positive if a you must move the decimal to left. ( Big Number)

Scientific Notation Ex A: 42,000  4.2 x 10000. 4.2 x 104 Standard Scientific Form Notation Ex B: 0.0000105  1.05 x .00001  1.05 x 10-5

Math using Scientific Notation Multiplication & Division: A) When multiplying; the M values simply multiply together as in standard notation, but the “n” exponents will add together. Ex: 3 x 104 2.5 x 10-3 X 2 x 103 X 4.9 x 10-6 (3)(2) x 10(3+4)  6 x 107 (2.5)(4.9) x 10(-3)+(-6) 12.25 x 10-9  1.225 x 10-8

Math using Scientific Notation Multiplication & Division: b) When dividing; the M values simply divide together as in standard notation, but the “n” exponents will subtract denominator from numerator. Ex: 3 x 103  ¾ = .75 & 103/104 =10(3-4) 4 x 104 0.75 x 10-1  7.5 x10-2 2.5 x 10-3  2.5/5.0 = .50 5.0 x 10-6  10-3/10-6 = 10(-3)-(-6) .50 x 103  5.0 x102