Solution 1.1:1d

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
m (Lösning 1.1:1d moved to Solution 1.1:1d: Robot: moved page)
Line 1: Line 1:
{{NAVCONTENT_START}}
{{NAVCONTENT_START}}
-
Precis som tidigare börjar vi med att räkna ut det innersta parentesuttrycket först
+
Just as in exercise c, we calculate the innermost bracket
:<math>3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5 = 3-(7-\bbox[#FFEEAA;,1.5pt]{\,10\,})-5</math>
:<math>3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5 = 3-(7-\bbox[#FFEEAA;,1.5pt]{\,10\,})-5</math>
{{NAVCONTENT_STEP}}
{{NAVCONTENT_STEP}}
-
och arbetar sedan successivt utåt,
+
and work our way successively outwards,
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\firstcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5</math>
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\firstcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5</math>
{{NAVCONTENT_STEP}}
{{NAVCONTENT_STEP}}
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\secondcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5\,</math>.
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\secondcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5\,</math>.
-
{{NAVCONTENT_STEP}}
+
All that remains is to combine the terms from left to right
-
Nu återstår bara att lägga ihop termerna från vänster till höger
+
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = \firstcbox{#FFEEAA;}{\,3-(-3)\,}{6}-5</math>
:<math>\phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = \firstcbox{#FFEEAA;}{\,3-(-3)\,}{6}-5</math>
{{NAVCONTENT_STEP}}
{{NAVCONTENT_STEP}}

Revision as of 12:42, 13 September 2008

Just as in exercise c, we calculate the innermost bracket

\displaystyle 3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5 = 3-(7-\bbox[#FFEEAA;,1.5pt]{\,10\,})-5

and work our way successively outwards,

\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\firstcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5
\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 3-\secondcbox{#FFEEAA;}{\,(7-10)\,}{(-3)}-5\,.

All that remains is to combine the terms from left to right

\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = \firstcbox{#FFEEAA;}{\,3-(-3)\,}{6}-5
\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = \secondcbox{#FFEEAA;}{\,3-(-3)\,}{3+3}-5
\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = \secondcbox{#FFEEAA;}{\,3-(-3)\,}{6}-5
\displaystyle \phantom{3-(7-\bbox[#FFEEAA;,1.5pt]{\,(4+6)\,})-5}{} = 1.
Retrieved from "http://wiki.math.se/wikis/2008/bridgecourse1-ImperialCollege/index.php/Solution_1.1:1d"