Scientific Notation

Scientific Notation Objective: To identify standard form and scientific notation and be able to convert from one to the other with ease

Scientific Notation What is standard form notation? Examples anyone? It is how we normally write numbers …. How we have always learned to write numbers 650 1,700,000 0.005 Examples anyone?

Scientific Notation What is Scientific notation? Here are some It is how scientists and engineers write numbers … it is ideal for writing very big numbers Notice – there is only ONE number to the left of the decimal point …. always 6.5 • 102 (was 650) 1.7 • 106 (was 1,700,000) 5 • 10-3 (was 0.005) Here are some examples

Scientific Notation How do you convert from standard form to scientific notation? Step 2 Count the number of numbers to the right of where the decimal went … that will be the exponent Step 1 Re-write the number with just ONE number to the left of the decimal point 1,200 is standard form 1.2 Positive exponent because number was greater than 1

1.2 Scientific Notation What is the number is less than one 0.0012 is standard form Step 2 Count the number of numbers to the left of where the decimal went … that will be the exponent Step 1 Re-write the number with just ONE number to the left of the decimal point 1.2 Negative exponent because number was less than 1

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 750 7.5 102 •

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 1,250,000

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 7500

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 0.00015

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 1.25

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 0.0105

Scientific Notation Let’s try some ….. Convert these standard form numbers to scientific notation 5,025,000

Scientific Notation Now, how do we convert back from scientific notation to standard form notation Step 1 5,025,000 0.00103 Look to see if the exponent is positive or negative …. Positive – move to right … neg move to left (like a number line)

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 325,000

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 1,300

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 0.00013

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 750.3

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 0.0000027

Scientific Notation Now, how do we convert back from scientific notation to standard form notation 80,130