MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C8F74C.5B390DA0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents

This presentation contains content that your browser may not be able to = show properly. This presentation was optimized for more recent versions of Micro= soft Internet Explorer.

If you would like to proceed anyway, click here.

 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/master32.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
Click to edit Master title style
Clic= k to edit Master text styles
Sec= ond level
Thi= rd level
Fou= rth level
Fif= th level
‹date/time›&= #13;
‹footer›
‹#›
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/master32.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAADzwAAAAUAJAAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////3gA oAB4AKAA////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABAAAAC0BAAAEAAAAJwH//xwAAAD7 Avn/AAAAAAAAkAEAAAAAAEAAAEFyaWFsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAC0B AwAEAAAALgEYAAQAAAACAQEABQAAAAkCAAAAAiQAAAAyCggANgATAAAAU2NpZW50aWZpYyBOb3Rh dGlvbgAFAAQAAgAEAAQAAQACAAIAAQAEAAIABQAEAAIABAACAAIABAADAAQAAAAuAQAAHAAAAPsC EAAHAAAAAAC8AgAAAAABAgIiU3lzdGVtAAAAAAAAAAAAABgAAAABAAAAcDcVAOQEAAAEAAAALQEE AAQAAADwAQMAAwAAAAAA ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0074.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0118.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0119.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0120.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0121.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0122.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0123.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0124.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
10–= 2 = =3D 0.01
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0125.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
10–= 2 = =3D 0.01
10–= 3 = =3D 0.001
10–= 4 = =3D 0.0001
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0126.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
10–= 2 = =3D 0.01
10–= 3 = =3D 0.001
10–= 4 = =3D 0.0001
Scientific Notation
Scientific Notation
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0127.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
10–= 2 = =3D 0.01
10–= 3 = =3D 0.001
10–= 4 = =3D 0.0001
Scientific Notation
Scientific Notation
Any number can be written in the form
        = ;            &n= bsp;            = ;      A x 10N
where 1 < A < 10. 
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0127_image001.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAN AAIAgAAAAAAAAAIEjI+pWQA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0128.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
100 =3D 1
101 = =3D 10
102 = =3D 100
103 = =3D 1000
10–= 1 = =3D 0.1
10–= 2 = =3D 0.01
10–= 3 = =3D 0.001
10–= 4 = =3D 0.0001
Scientific Notation
Scientific Notation
Any number can be written in the form
        = ;            &n= bsp;            = ;      A x 10N
where 1 < A < 10.  This form is called the scientific notation of the number.
An import= ant application for exponents is the usage of the
powers of= 10 in calculation of very large or very small numbers.
Powers of= 10:
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0128_image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAAN AAIAgAAAAAAAAAIEjI+pWQA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0086.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0129.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N,
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0130.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0131.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
Example = A. Write the following numbers in scientific = notation.
a. 12300.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0132.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
Move left 4 places. 
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 .
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0132_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0132_image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0132_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0133.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
Move left 4 places. 
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0133_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0133_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0133_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0134.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
ii. If the decimal point moves to the right N spaces, then the  
   exponent over 10 is negativ= e,
Move left 4 places. 
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0134_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0134_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0134_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0135.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
ii. If the decimal point moves to the right N spaces, then the  
   exponent over 10 is negativ= e, i.e. if after moving the decimal &nb= sp;
   point we get a larger numbe= r A, then N is negative.
Move left 4 places. 
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0135_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0135_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0135_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0136.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
ii. If the decimal point moves to the right N spaces, then the  
   exponent over 10 is negativ= e, i.e. if after moving the decimal &nb= sp;
   point we get a larger numbe= r A, then N is negative.
Move left 4 places. 
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
b. 0.00123
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0136_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0136_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0136_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
ii. If the decimal point moves to the right N spaces, then the  
   exponent over 10 is negativ= e, i.e. if after moving the decimal &nb= sp;
   point we get a larger numbe= r A, then N is negative.
Move left 4 places. 
Move right= 3 places
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
b. 0.00123 =3D 0. 001 23
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAC AA0AgAAAAAAAAAIEjI+pWQA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAo AAIAgAAAAAAAAAIIjI+py+0PTQEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0137_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number into scientific notation, we move the decimal point to the back of t= he first nonzero digit.
i. If the= decimal point moves to the left N spaces, then the   
   exponent over 10 is positiv= e N, i.e. if after moving the  = 3;
   decimal point we get a smal= ler number A, then N is positive.
ii. If the decimal point moves to the right N spaces, then the  
   exponent over 10 is negativ= e, i.e. if after moving the decimal &nb= sp;
   point we get a larger numbe= r A, then N is negative.
Move left 4 places. 
Move right= 3 places
Example = A. Write the following numbers in scientific = notation.
a. 12300. =3D 1 2300 . =3D 1.= 23 x 10 +4
b. 0.00123 =3D 0. 001 23 =3D 1.= 23 x 10 –3<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'> 
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAB AA4AgAAAAAAAAAIDjI9YADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQAx AAIAgAAAAAAAAAIIjI+py+0P4yoAOy== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIOBGIWeKsL4Utu2kYZngUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAC AA0AgAAAAAAAAAIEjI+pWQA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAo AAIAgAAAAAAAAAIIjI+py+0PTQEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0138_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0105.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0139.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0140.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger n= umber.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0141.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger n= umber.
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0142.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger n= umber.
Move right= 4 places, 
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300. = 3;
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0142_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0142_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0142_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0143.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger number.
ii. If N = is negative, move the decimal point in A to the left,
Move right= 4 places, 
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300. = 3;
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0143_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0143_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0143_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0144.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger number.
ii. If N = is negative, move the decimal point in A to the left,
   i.e. make A into a smaller number.
Move right= 4 places, 
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300. = 3;
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0144_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0144_image037.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0144_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0145.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger number.
ii. If N = is negative, move the decimal point in A to the left,
   i.e. make A into a smaller number.
Move right= 4 places, 
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300.
b. 1. 23 x 10 –3 =
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0145_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0145_image040.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0145_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger number.
ii. If N = is negative, move the decimal point in A to the left,
   i.e. make A into a smaller number.
Move right= 4 places, 
Move left = 3 places
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300.
b. 1. 23 x 10 –3 = =3D 0. 001 23 =3D 0.00123
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image043.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAC AA4AgAAAAAAAAAIEjI+pWwA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image045.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAp AAIAgAAAAAAAAAIIjI+py+0PUQEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIPBGKHFq3eokqOrWnprbgAADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0146_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Scientific Notation
To write a number in scientific notation back to the standard form, we move the deci= mal point according to N.
i. If N is positive, move the decimal point in A to the right,
   i.e. make A into a larger number.
ii. If N = is negative, move the decimal point in A to the left,
   i.e. make A into a smaller number.
Move right= 4 places, 
Move left = 3 places
Example B. Write the following numbers in the standard form.
a. 1. 23 x 10 +4 =3D 1 2300 . =3D  12300.
b. 1. 23 x 10 –3 = =3D 0. 001 23 =3D 0.00123
Scientific notation simplifies multiplications and divisions of
very larg= e and very small numbers.
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image048.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAwAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAB AA0AgAAAAAAAAAIDjI9XADt= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABAAG AAwAgAAAAAAAAAIQBBJmqMjnoEtQ1UZXvtq+AgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAC AA4AgAAAAAAAAAIEjI+pWwA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAp AAIAgAAAAAAAAAIIjI+py+0PUQEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image052.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAF AA0AgAAAAAAAAAIPBGKHFq3eokqOrWnprbgAADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0147_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA1 AAIAgAAAAAAAAAIJjI+py+0PowwFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0096.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0148.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0149.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0150.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0151.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
   =3D  0.000156 = 3;
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0152.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
   =3D  0.000156 = 3;
b.
6.3 x 10-2  
2.1 x 10-10
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0152_image054.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBV AAEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0153.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
   =3D  0.000156 = 3;
b.
6.3 x 10-2  
2.1 x 10-10
=3D   
6.3
2.1
x 10 –= 2 – ( – 10)  
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0153_image055.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBV AAEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0153_image056.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAj AAEAgAAAAAAAAAIFjI+puwUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0154.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
   =3D  0.000156 = 3;
b.
6.3 x 10-2  
2.1 x 10-10
=3D   
6.3
2.1
x 10 –= 2 – ( – 10)  
=3D 3 x 108 
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0154_image057.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBV AAEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0154_image058.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAj AAEAgAAAAAAAAAIFjI+puwUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0155.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
= Example C. <= /span>Calculate. G= ive the answer in both scientific notation and the standard notation.
a. (1.2 x 108) x (1.3 x 10–12)
  &= nbsp; =3D 1.2 x 1.3 x 108 x 10 –12
  &= nbsp; =3D 1.56 x 108 –12
   =3D 1.56 x 10 –4<= span lang=3DEN-US style=3D'mso-fareast-font-family:PMingLiU;mso-hansi-font-fami= ly:Arial; font-size:75%;color:#003300;mso-fareast-language:ZH-TW'> 
   =3D  0.000156 = 3;
b.
6.3 x 10-2  
2.1 x 10-10
=3D   
6.3
2.1
x 10 –= 2 – ( – 10)  
=3D 3 x 108 
=3D 300,000,000
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0155_image059.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBV AAEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0155_image060.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAj AAEAgAAAAAAAAAIFjI+puwUAOw== ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0103.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Example D. <= /span>Convert each numbers into scientific notation. Calculate the resu= lt. Give the answer in both scientific notation and the standard notation.
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0156.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Example D. <= /span>Convert each numbers into scientific notation. Calculate the resu= lt. Give the answer in both scientific notation and the standard notation.
240,000,000 x 0.0000025
0.00015
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0156_image061.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh1AACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAADR AAIAgAAAAAAAAAISjI+py+0Po5y02ouz3rz7D0IFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0157.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Example D. <= /span>Convert each numbers into scientific notation. Calculate the resu= lt. Give the answer in both scientific notation and the standard notation.
240,000,000 x 0.0000025
=3D   
0.00015
2.4 x 108 
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0157_image062.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh1AACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAADR AAIAgAAAAAAAAAISjI+py+0Po5y02ouz3rz7D0IFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0157_image063.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhqwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACp AAIAgAAAAAAAAAIQjI+py+0Po5y02ouz3rzHAgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0158.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Example D. <= /span>Convert each numbers into scientific notation. Calculate the resu= lt. Give the answer in both scientific notation and the standard notation.
240,000,000 x 0.0000025
=3D   
0.00015
2.4 x 108 x 2.5 x 10<= span lang=3DEN-US style=3D'font-family:Arial;mso-fareast-font-family:\5B8B\4F53; mso-hansi-font-family:Arial;font-size:50%;color:#003300;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-TW'>–6<= span lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:50%;color:#003= 300; position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-TW; mso-special-format:lastCR;display:none'>
Scientific Notation
------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0158_image064.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh1AACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAADR AAIAgAAAAAAAAAISjI+py+0Po5y02ouz3rz7D0IFADs= ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0158_image065.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhqwADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACp AAIAgAAAAAAAAAIQjI+py+0Po5y02ouz3rzHAgA7 ------=_NextPart_01C8F74C.5B390DA0 Content-Location: file:///C:/AE4BB24E/2scientificnotation_files/slide0159.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Exponents
Example D. <= /span>Convert each numbers into scientific notation. Calculate the resu= lt. Give the answer in both scientific notation and the standard notation.
240,000,000 x 0.0000025
=3D   
0.00015
2.4 x 108 x 2.5 x 10<= span lang=3DEN-US style=3D'font-family:Arial;mso-fareast-font-family:\5B8B\4F53; mso-hansi-font-family:Arial;font-size:50%;color:#003300;position:relative; top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-TW'>–6<= span lang=3DEN-US style=3D'mso-hansi-font-family:Arial;font-size:50%;color:#003= 300; position:relative;top:-.45em;mso-text-raise:30%;mso-fareast-language:ZH-TW; mso-special-format:lastCR;display:none'>
1.5 x 10–= 4 
Scientific Notation
------=_NextPart_0