Transcript Scientific Notation - ScienceScholars103

DO NOW
Scientific
Notation
Conversions
DO NOW PROBLEMS
Convert into standard notation
1. 7.898 x 105
2. 0.4567 x 10-3
Convert into Scientific Notation
1. 956,400
2. 0.0245
ANSWERS TO DO NOW PROBLEMS
Convert into standard notation
1. 789,800
2. 0.0004567
Convert into Scientific Notation
1. 9.56 x 105
2. 2.45 x 10-2
OPERATIONS IN SCIENTIFIC
NOTATION
LESSON 1.8
CRS STANDARD
SIN 402: Understand a simple experimental design
OBJECTIVES
►Write numbers in standard and scientific
notation.
►Perform calculations with numbers in scientific
notation.
WHAT IS SCIENTIFIC NOTATION?
►A number expressed in the form:
-a number that is between 1 and 9
-multiplied by a power of 10
Example:
Neptune is 2,800,000,000 miles from the
sun.
2.8  10
9
HOW DO YOU WRITE A NUMBER IN SCIENTIFIC
NOTATION?
Ex: 3,000,000,000,000
.
Where is the decimal point?
You move the decimal point to the left until
the number in front of it is between 1 and 9.
.
.  3.0  10
3,000,000,000,000
12
HOW DO YOU WRITE A NUMBER IN SCIENTIFIC
NOTATION?
Ex: 0.000063
You move the decimal point to the right until
the number to the left of it is between 1 and
9.
0.000063
 6.3  10
5
Notice that the exponent is negative!
WRITE IN SCIENTIFIC NOTATION
234,000,000
Your answer: 2.34 x 108
HOW TO CHANGE NUMBERS IN SCIENTIFIC
NOTATION TO STANDARD NOTATION.
►First, decide which way you are going to be moving your decimal point.
Negative Exponent – move to the left
Positive Exponent – move to the right
Move the decimal point the number of the
exponent.
Ex: 6.35 x 104 =
1.82 x 10-5 =
63,500
0.0000182
WRITE IN STANDARD NOTATION
►9.608 x 109
9,608,000,000
►3.5 x 10-4
0.00035
►8.3 x 10-2
0.083
►5.07 x
106
5,070,000
OPERATIONS WITH SCIENTIFIC NOTATION.
Adding:
•You just add the first numbers
•Your exponents must be the same
(4 x 104) + (9 x 104) = (4 + 9) x 104
= 13 x 104
Subtracting:
•You just subtract the first numbers
•Your exponents must be the same
(8 x 104) - (2 x 104) = (8 - 2) x 104
= 6 x 104
OPERATIONS WITH SCIENTIFIC NOTATION.
Multiplying:
•Multiply the first numbers and then the second numbers.
•You just add your exponents
(7 x 102)(4 x 105) = (7  4)(102  105)
= 28 x 107
OPERATIONS WITH SCIENTIFIC NOTATION.
Dividing:
•Divide the first numbers and then the second numbers.
•You subtract your exponents
5
8.4  10
2  10 8
5

 8.4   10 
5 8 



4
.
2

10
  8 
 2   10 
 4.2  103
Simplify the exponents.
EXIT SLIP
1. (7.5 x104) + (8.0 x104) =
2.
3.
(9 x 104) – (6 x103) =
(6.2 x 104 ) x (5 x 103) =
4. (9 x 104) =
(3 x 102)