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 , ,000,000, (Answer from the right) + 2.3

Significant Figure Quiz Answers Write the number of significant figures each of the following numbers have , ,000,000, (Answer from the right) (8.2)

Significant Figures - Math When adding or subtracting – Look at the least common value (tenths, hundredths Examples: – = ? – 16 – = ?

Significant Figures - Math When adding or subtracting – Look at the least common value (tenths, hundredths Examples: – = ? Because the least common place + 3.8____ value is tenths, you round your answer to the nearest tenths – Answer 56.6

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

Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – x 4.6 = ? – ÷ 6.17 = ?

Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – x 4.6 = ? x 4.6 = Because the least number of (5) (2) (2) significant figures is 2, you’ll only have 2 numbers in your answer – Answer 55

Significant Figures - Math When multiplying or dividing – Look at the least number of significant figures Examples: – ÷ 6.17 = ? ÷ 6.17 = Because the least number of (5) (3) (3) significant figures is 3, you’ll only have 3 numbers in your answer – Answer 4.03

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: – 5,040,000,000,000,000 = ? – = ?

Scientific Notation You need a coefficient, base, and exponent Examples: – = ? Answer: 5.04 x – = ? Answer: 1.6 x

Scientific Notation You need a coefficient, base, and exponent Examples: – 8.23 x = ? – 1.25 x = ?

Scientific Notation You need a coefficient, base, and exponent Examples: – 8.23 x = Answer: 823,000,000,000,000 – 1.25 x = Answer:

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