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Daily Science (August 25). Put the following numbers into scientific notation: 209000000 (6 zeroes) 0.0000000231 (7 zeroes) 9.54 0.023 Perform the following calculations (no calc.) (6x 10 -2 ) x (3 x 10 -7 ) (4 x 10 3 ) / (8 x 10 8 ) (2.5 x 10 -8 ) x (3 x 10 11 ). Sig Figs. Pg. 15.
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Daily Science (August 25) • Put the following numbers into scientific notation: • 209000000 (6 zeroes) • 0.0000000231 (7 zeroes) • 9.54 • 0.023 • Perform the following calculations (no calc.) • (6x 10-2) x (3 x 10-7) • (4 x 103) / (8 x 108) • (2.5 x 10-8) x (3 x 1011)
Sig Figs Pg. 15
Significant Figures • Scientists need to express the accuracy of a number, not just the value • Can determine accuracy by number of significant figures
Rules for significant figures • All digits 1-9 are significant - ex. 946 has 3 sig. figs. • Zeroes between digits are significant -ex. 102 has 3 sig .figs. • Zeroes at the end of a number are significant ONLY if there is a decimal point. - ex. 300 has 1 sig. fig. but 300.0 has 4 sig. figs. • Zeroes in the beginning of a number whose function is to place the decimal point are NOT significant. -ex. 0.0031 has 2 sig. figs. • Zeroes following a decimal and digit 1-9 are significant. - ex. 0.0210 has 3 sig. figs or 0.2600 has 4 sig. figs.
Sig. Figs. Example • How may 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