Significant Digits and Scientific Notation Pg 11 Scientific

Scientific Notation □ Form for scientific notation: M x 10 n □ M represents

Rule 1 □Digits 1 -9 □All digits 1 -9 are significant □Ex. 456 has

Rule 2 □Captive Zeroes □Zeroes between digits 1 -9 are significant □Ex. 406 has

Rule 3 □Trailing Zeroes □Zeroes at the end of a number are significant only

Rule 4 □Leading Zeroes/Placeholder Zeroes □Zeroes at the beginning of a number are NOT

Rule 5 □Zeroes after a decimal after a digit 1 -9 □Zeroes following a

Sig. Figs. Example □ How many sig. figs. does 103, 400 have? □ How

Counting Sig. Figs. during operations □ When multiplying or dividing: □ Find the number

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Significant Digits and Scientific Notation Pg. 11

Scientific Notation □ Form for scientific notation: M x 10 n □ M represents a number between 1 and 10 □ n represents the number of decimal places to be moved □ If going from scientific notation to standard notation: □ Positive ‘n’ means move decimal to the right (big number) □ Negative ‘n’ means move decimal to the left (small number)

Rule 1 □Digits 1 -9 □All digits 1 -9 are significant □Ex. 456 has 3 sig figs

Rule 2 □Captive Zeroes □Zeroes between digits 1 -9 are significant □Ex. 406 has 3 sig figs □Ex. 4. 006 has 4 sig figs □Ex. 100004 has 10 sig figs

Rule 3 □Trailing Zeroes □Zeroes at the end of a number are significant only if there is a decimal □Ex. 400 has 1 sig fig □Ex. 400. 0 has 4 sig figs

Rule 4 □Leading Zeroes/Placeholder Zeroes □Zeroes at the beginning of a number are NOT significant. □Ex. 0. 0045 has 2 sig figs

Rule 5 □Zeroes after a decimal after a digit 1 -9 □Zeroes following a decimal and a number are significant □Ex. 0. 04560 has 4 sig figs □Ex. 1. 0230 has 5 sig figs

Sig. Figs. Example □ How many sig. figs. does 103, 400 have? □ How many does 0. 00351 have?

Counting Sig. Figs. during operations □ When multiplying or dividing: □ Find the number with the least amount of sig. figs. □ Round your answer to express that many sig. figs. □ When adding or subtracting: □ Find the number with the least amount of numbers after the decimal place □ Round your answer to express that many decimal places

Ex. □ 1. 76 x 2. 1 □ 141. 02 + 32. 1 + 26. 345