Order of calculations

Order of calculation is simple, when calculating with numbers. [br][br][color=#0000ff]1. Perform calculations inside brackets. [/color] [br][color=#0000ff]2. Perform multiplication and division from left to right in given order.[/color][br][color=#0000ff]3. Addition and subtraction from left to right in given order.[/color][br][br][br][color=#0000ff]Example 1[/color]. [br][br][math] \begin{eqnarray}[br]&&1+[4\cdot (2+3)-6]/2\\[br]&=&1+[4\cdot 5-6]/2\\[br]&=&1+[20-6]/2\\[br]&=&1+14/2\\[br]&=&1+7\\[br]&=&8[br]\end{eqnarray}[/math][br]  [br][color=#0000ff]Example 2. Compare the following calculations and the order used.[/color][br][br] [math] \begin{eqnarray} a)[br]&&8\cdot 5-56:8+4\\[br]&=&40-7+4\\[br]&=&37\\[br]\end{eqnarray}[/math][br][br][math] \begin{eqnarray}b)[br]&&8\cdot 5-(56:8+4)\\[br]&=&40-(7+4)\\[br]&=&40-11\\[br]&=&29\\[br]\end{eqnarray}[/math][br][br][math] \begin{eqnarray} c)[br]&&8\cdot (5-56:8+4)\\[br]&=&8\cdot (5-7+4)\\[br]&=&8\cdot 2\\[br]&=&16\\[br]\end{eqnarray}[/math][br][br][math] \begin{eqnarray}d)[br]&&8\cdot 5-56:(8+4)\\[br]&=&40-56:12\\[br]&=&40-\frac{56}{12}\\[br]&=&40-\frac{14}{3}\\[br]&=&\frac{120}{3}-\frac{14}{3}\\[br]&=&\frac{106}{3}\\[br]&=&35\frac{1}{3}[br]\end{eqnarray}[/math]

Information: Order of calculations