Intro to Scientific Notation
November 22, 2013
Powers of 10
10 * 2
10*1.5
10* 35
10* 250
Powers of 10
2.587
* 10
*101
*102
Intro to Scientific Notation
November 22, 2013
Multiplying a number by a positive power of 10, moves the decimal point to the right.
Multiplying a number by a negative power of 10 moves the decimal point to the left. Intro to Scientific Notation
November 22, 2013
SCIENTIFIC NOTATION
A number in scientific notation is in the form: n*10p
n must be between 1 and 10 (1 digit)
* Example
28 = 2.8* 101
280 = 2.8*102
0.28 = 2.8*10­1
0.028 = 2.8*10­2
Converting from Scientific Notation to Decimal Form
5.8 * 106
2.36*10­4
Intro to Scientific Notation
November 22, 2013
Converting from Decimal Form To Scientific Notation
250,000
1. Place the decimal point after the first non zero digit
2. The number of places from the decimal point to its original position is the exponent. 3. If you are moving the decimal point to the left, the exponent is positive. If you are moving the decimal to the right, the exponent is negative. Write in Scientific Notation
63, 420,000
0.0007
0.0000058
Intro to Scientific Notation
November 22, 2013
CALCULATOR
50020
0.0005/600,000
857,000*26,984
CALCULATOR
( 4.2* 105)(7.23*10­9)
4.59*10­5
1.3*104
(8.45*103)6
Intro to Scientific Notation
November 22, 2013
Calculations with Scientific Notation
(2* 102)(3*101)
(2.5*10­5)(2*103)
4.2*108
2.1*106
(2*10­1)­1
(5.87*10­4)(6.73*107)