CHAPTER ONE Science Skills PHYSICAL SCIENCE CHAPTER ONE Science Skills

Multiply: 20000000000 X 3000000 without using a calculator Do Now Multiply: 20000000000 X 3000000 without using a calculator

Lesson 3 Objective Express numbers in scientific notation Learn the rules of arithmetic with scientific notation

Big things Small things Mass of the sun: 1989100000000000000000000000000 Kg Distance from Earth to sun: 149600000000 meters Small things Mass of an electron: 0.00000000000000000000000000000091 Kg Diameter of a proton: 0.0000000000000017 m

Scientific Notation What happens when we multiply the following 5.6 x 1000 = _________ 3.3 x 100 = _________ The __________ moves to the ________ by the same # of places as # of ___________ So, we can express numbers as follows: 56000 = 1200 =

Scientific Notation 104 102 10000 = 100 = 10000 = 100 = The ____________ equals the ___________ So, we can express numbers as follows: 56000 = 1200 = 102 exponent number of zeros

Scientific Notation M x 10n coefficient (1<M<10) We will express numbers in the following format: M is the n is the 1<M<10 so, M x 10n coefficient (1<M<10) exponent can be any integer 23 X 105 is NOT correct scientific notation 0.23 X 107 is NOT correct 2.3 X 106 is correct

When n is negative

So, now…. Mass of the sun: 1989100000000000000000000000000 Kg = 1.9891 x 1030 Kg Distance from Earth to sun: 149600000000 m = 1.496 x 1010 m Mass of an electron: 0.00000000000000000000000000000091 Kg = 9.1 x 1030 Kg Diameter of a proton: 0.0000000000000017 m = 1.7 x 10-10 m

Classwork See one, do one, teach one Get in pairs to do worksheet #1 The person closer to the window: do odd # problems The person closer to the door: do even # problems Once done, explain to your partner how you did your problems

Scientific Notation with you calculator

Scientific Notation with you calculator

Working in Pairs 1) Do the following simple examples in your calculator (4 x 102) x (2 x 104) = (5 x 107) x (1 x 103) = (3 x 103) x (2 x 10-5) = Can you write down a method for multiplying without a calculator? 2) Do the following simple examples in your calculator (8 x 104) / (2 x 102) = (5 x 107) / (1 x 103) = (9 x 103) / (3 x 105) = Can you write down a method for dividing without a calculator?

Working in Pairs 1) Do the following simple examples in your calculator (4 x 104) + (2 x 104) = (5 x 103) + (1 x 103) = (3 x 10-5) + (2 x 10-5) = Can you write down a method for adding without a calculator? 2) Do the following simple examples in your calculator (4 x 104) - (2 x 104) = (5 x 103) - (1 x 103) = (3 x 10-5) - (5 x 10-5) = Can you write down a method for subtracting without a calculator?

What do we do when adding or subtracting with different exponents

Arithmetic w/ Scientific Notation Cf= nf= (C1 x 10n1) x (C2 x 10n2) = (Cf x 10nf) C1 x C2 n1 + n2 (C1 x 10n1) / (C2 x 10n2) = (Cf x 10nf) C1 / C2 n1 - n2 (C1 x 10n1) + (C2 x 10n2) = (Cf x 10nf) C1 + C2 n1 = n2 (C1 x 10n1) - (C2 x 10n2) = (Cf x 10nf) C1 - C2 If Cf not between 1 and 10 then: When adding or subtracting, if n1≠ n2:

Classwork See one, do one, teach one Get in pairs to do worksheet #1a The person closer to the window: do odd # problems The person closer to the door: do even # problems Once done, explain to your partner how you did your problems