document.write( "Question 209380: Theme: 2 Sets of Parenthesis Nested within Each Other\r
\n" ); document.write( "\n" ); document.write( "My question: Why does answer, \"36\" move from (-36) when removed from parenthesis as the last operation of this solution? I need simple but rule based reference of where to study up on how to manipulate parentheses within mathematical/algebraic rules. Thank you.\r
\n" ); document.write( "\n" ); document.write( "My solution follows:\r
\n" ); document.write( "\n" ); document.write( "(9 + 3 - 4 * ( 8 + ( - 2 ) ^2) )
\n" ); document.write( "----\r
\n" ); document.write( "\n" ); document.write( "Step 1: Find 1st set of inner parenthesis ( - 2 ); No operation indicated; \r
\n" ); document.write( "\n" ); document.write( "Step 2: Proceed to next set of inner parenthesis: ( 8 + ( - 2 ) ^ 2 ). Process. 2 ^ 2 = 4;
\n" ); document.write( "( 8 + ( 4) ) = ( 12 ). Rewrite equation: ( 9 + 3 - 4 * (12) )\r
\n" ); document.write( "\n" ); document.write( "Step 3: All parenthesis and powers are resolved. Now proceed to Multiply, Divide; then Add, Subtract.
\n" ); document.write( "So, 4 * 12 = 48; Rewrite: ( 9 + 3 - 48 ). Solve: ( 12 - 48 ) = ( -36 ). Remove parenthesis: A: 36 \n" ); document.write( "

Algebra.Com's Answer #158299 by rfer(16322) $\"\"$ $\"About$

You can put this solution on YOUR website!
the-2^2 becomes a positive then you multiply by the -4 so your final answer is negative. remember the order of operations
\n" ); document.write( "work everything to the right of the multiplication sign first in this case.
\n" ); document.write( "Then multiply by -4, last do the 9+3
\n" ); document.write( "when you multiply by the 4 it is a -4 not positive
\n" ); document.write( "-2^2=+4
\n" ); document.write( "+4+8=12
\n" ); document.write( "12*-4=-48
\n" ); document.write( "9+3-48=-36
\n" ); document.write( "when you add algebreticly you add or subtract following the signs and the answer gets the sign of the biggest number \n" ); document.write( "

\n" );