Solution 1.1:2b

From Förberedande kurs i matematik 1

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Current revision (13:10, 13 September 2008) (edit) (undo)
 
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When calculating, the innermost part of the expression should always be calculated first.
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:<math>3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5) = 3-((\bbox[#FFEEAA;,1.5pt]{\,3\,}+6)-5)</math>.
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In the resulting expression we again pick out and calculate the innermost part
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:<math>\phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-(\firstcbox{#FFEEAA;}{\,(3+6)\,}{9}-5)</math>
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:<math>\phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-(\secondcbox{#FFEEAA;}{\,(3+6)\,}{9}-5)</math>.
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Now there is just one bracket to calculate
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:<math>\phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-\firstcbox{#FFEEAA;}{\,(9-5)\,}{4}</math>
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:<math>\phantom{3-((\bbox[#FFEEAA;,1.5pt]{\,(7-4)\,}+6)-5)}{} = 3-\secondcbox{#FFEEAA;}{\,(9-5)\,}{4}</math>
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and now there is only an expression without brackets left to calculate
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:<math>\phantom{3-((\firstcbox{#FFEEAA;}{\,(7-4)\,}{3}+6)-5)}{} = -1</math>.
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