3.1 - SCIENTIFIC NOTATION

(2x10^-1) x (6x10^-6)

(2x10^-1) x (6x10^-6) (2x6) x 10 ^ (-1 + -6) 12 x 10 ^ -7

(2x10^-4) x (9x10^6)

(2x10^-4) x (9x10^6) (2x9) x10 ^ (-4+6) 18 x 10 ^ 2

(2x10^-6) / (4x10^-7)

(2x10^-6) / (4x10^-7) (2/4) x 10 ^ (-6 - -7) 0.5 x 10 ^ 1

(4x10^2) / (2x10^-5)

(4x10^2) / (2x10^-5) (4/2) x 10 ^ (2 - -5) 2 x 10 ^ 7

(5x10^4) / (1x10^3)

(5x10^4) / (1x10^3) (5 / 1) x10 ^ (4-3) 5 x 10 ^ 1

(5x10^4) x (9x10^3)

(5x10^4) x (9x10^3) (5x9) x10 ^ (4+3) 45 x 10 ^7

(6x10^-4) / (3x10^2)

(6x10^-4) / (3x10^2) (6/3) x 10 ^ (-4 - 2) 2 x 10 ^ -6

change 9.61 x 10^-4 to standard

0.000961 (move decimal 4 times to make number smaller)

change 0.0000421 to scientific

4.21x10^-5 (decimal needs to move 5 times and its a small number so -)

change 5.43 x 10^2 to standard

543. (move decimal twice to make number bigger)

change 62,000,000. to scientific

6.2x10^7 (decimal needs to move 7 times and its a big number so +)

dividing scientific notation

divide the bases, write "x10" and the exponent is the difference of the 2 exponents

Scientific Notation

m x 10 ^ n m = base (number between 1 and 9.99) n = exponent (+ or -)

multiplying scientific notation

multiply the bases, write "x10" and the exponent is the sum of the 2 exponents

scientific notation with + exponent

number is bigger than 1

scientific notation with - exponent

number is smaller than 1