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Multip= lication and Division of Signed Numbers
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0070.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.
Multip= lication and Division of Signed Numbers
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0070_image001.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Multip= lication and Division of Signed Numbers
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071_image002.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071_image004.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0071_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.
Multip= lication and Division of Signed Numbers
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0072_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0073_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image021.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0074_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0075_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image030.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image032.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image035.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0076_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0077.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
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Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4 =3D  20 / (–4) =
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image045.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image048.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0078_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4 =3D  20 / (–4) =3D  –5
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image052.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image054.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image055.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image056.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0079_image057.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4 =3D  20 / (–4) =3D  –5
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
c. <= /div>
(-6)2
=3D
–3
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image058.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image059.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image060.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image061.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image062.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image063.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image064.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0080_image065.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAc AAEAgAAAAAAAAAIEjI+pWwA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4 =3D  20 / (–4) =3D  –5
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
c. <= /div>
(-6)2
=3D
36
–4
–3
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image066.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image067.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image068.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image069.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image070.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image071.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image072.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAi AAEAgAAAAAAAAAIFjI+pqwUAOw== ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0081_image073.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABV AAEAgAAAAAAAAAIMjI+pC+0PI1i02lAAADs= ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0082.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Addition and Subtraction of Fractions
Rule for Division of Signed Numbers
Same sign-rules for multiplicat= ions also apply to division.  = ;
Two numbers with the = same sign divided yield positive quotient.&nbs= p;
Two numbers with oppo= site signs divided yield negative quotient.
Multip= lication and Division of Signed Numbers
Example B.
 
a.
=
b . –20 / 4 =3D  20 / (–4) =3D  –5
In algebra, a ÷ b is written as a/b or       . <= /span>
a
b
+
+
=3D
–
–
=3D
+
+
+
=3D
–
–
=3D
–
20
4
=3D
–20
–4
=3D
5
c. <= /div>
(-6)2
=3D
36
–4
=3D
–3
–9
------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0082_image074.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS AAEAgAAAAAAAAAIEjI95BQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0082_image075.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/slide0082_image076.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAT AAEAgAAAAAAAAAIEjI+JBQA7 ------=_NextPart_01C8D8AD.37CF6660 Content-Location: 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FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr= row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); 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charset="us-ascii" Addition and Subtraction of Fractions ------=_NextPart_01C8D8AD.37CF6660 Content-Location: file:///C:/7102A2B3/3MultiplicationandDivisionofSignedNumbers_files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"
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Outline
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