1. CHAPTER ONE Science Skills
PHYSICAL SCIENCE
CHAPTER ONE
Science Skills

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

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

4. Big things Small things
Mass of the sun: Kg
Distance from Earth to sun:
meters
Small things
Mass of an electron: Kg
Diameter of a proton: m

5. 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 = =

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

7. 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

8. When n is negative

9. So, now….
Mass of the sun: Kg = x 1030 Kg
Distance from Earth to sun:
m = x 1010 m
Mass of an electron: Kg = 9.1 x 1030 Kg
Diameter of a proton: m =
1.7 x m

10. 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

11. Scientific Notation with you calculator

12. Scientific Notation with you calculator

13. 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?

14. 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?

15. What do we do when adding or subtracting with different exponents

16. 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:

17. 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