Significant Figures Scientific Notation Significant Figures What do

Significant Figures & Scientific Notation

Significant Figures • What do those words mean? – Important numbers

Significant Figures • What numbers are significant • Always significant: – Numbers 1 -9 • Sometimes significant – 0 • Significant 0 – When between two significant numbers (709) – When decimal number ends in zero (8. 50) • Not Significant 0 – When zero is just taking up space as a place holder (100)

Significant Figure Quiz Write the number of significant figures each of the following numbers have 1. 0. 00708 2. 1, 080 3. 10, 000, 000 4. 0. 0100 5. 89321 5. (Answer from the right) + 2. 3

Significant Figure Quiz Answers Write the number of significant figures each of the following numbers have 1. 0. 00708 2. 1, 080 3. 10, 000, 000 4. 0. 0100 5. 89321 5. (Answer from the right) + 2. 3 (8. 2)

Significant Figures - Math • When adding or subtracting – Look at the least common value (tenths, hundredths • Examples: – – 52. 789 + 3. 8 = ? 16 – 4. 350 = ?

Significant Figures - Math • When adding or subtracting – Look at the least common value (tenths, hundredths • Examples: – 52. 789 + 3. 8 = ? 52. 789 + 3. 8____ 56. 589 – Answer 56. 6 Because the least common place value is tenths, you round your answer to the nearest tenths

Significant Figures - Math • When adding or subtracting – Look at the least common value (tenths, hundredths • Examples: – 16 – 4. 350 = ? 16 − 4. 350 11. 650 – Answer 12 Because the least common place value is the ones, you round your answer to the nearest ones

Significant Figures - Math • When multiplying or dividing – Look at the least number of significant figures • Examples: – – 11. 859 x 4. 6 = ? 24. 859 ÷ 6. 17 = ?

Significant Figures - Math • When multiplying or dividing – Look at the least number of significant figures • Examples: – 11. 859 x 4. 6 = ? 11. 859 x 4. 6 = 54. 5514 (5) (2) – Answer 55 Because the least number of significant figures is 2, you’ll only have 2 numbers in your answer

Significant Figures - Math • When multiplying or dividing – Look at the least number of significant figures • Examples: – 24. 859 ÷ 6. 17 = ? 24. 859 ÷ 6. 17 = 4. 0290113 (5) (3) – Answer 4. 03 Because the least number of significant figures is 3, you’ll only have 3 numbers in your answer

Scientific Notation • What is it? – A scientific way to write enormous or teeny numbers

Scientific Notation • What does it look like? – Coefficient: any number between 1 and 10 – Base: x 10 (it will always be x 10) – Exponent: tells you how many times to move the decimal point • Positive expenent = move to the right • Negative exponent = move to the left

Scientific Notation • You need a coefficient, base, and exponent • Examples: – – 5, 040, 000, 000 = ? 0. 000000016 = ?

Scientific Notation • You need a coefficient, base, and exponent • Examples: – 5040000000 = ? Answer: 5. 04 x 1015 – 0. 000000016 = ? Answer: 1. 6 x 10 -14

Scientific Notation • You need a coefficient, base, and exponent • Examples: – – 8. 23 x 1014 = ? 1. 25 x 10 -9 = ?

Scientific Notation • You need a coefficient, base, and exponent • Examples: – 8. 23 x 1014 = 823000000. Answer: 823, 000, 000 – 1. 25 x 10 -9 = 0. 0000125 Answer: 0. 0000125

Homework • Significant Figures & Scientific Notation WS (Front & Back) (Due Tomorrow)