Question 1049642

 The order of operations states:


 Perform all operations within grouping symbols first. Grouping symbols include parentheses ( ), brackets [ ], braces { }, and fraction bars.

1)         Evaluate exponents or square roots.

2)        Multiply or divide, from left to right.

3)        Add or subtract, from left to right.

 
 Example 1:

What is the correct answer for the expression {{{3 + 5 *2}}}? Use the order of operations listed above.

Multiply first.          {{{3 + 5 * 2 = 3 + 10}}}

Then add.             {{{ 3 + 10 = 13}}}


Example 2:
	

Simplify {{{(3 + 4)^2 + (8)(4)}}}:

{{{(3 + 4)^2 + (8)(4)}}}.....This problem has parentheses, exponents, multiplication, and addition in it. The first set of parentheses is a grouping symbol. The second set indicates multiplication.

{{{(3 + 4)^2 + (8)(4)}}}.....Grouping symbols are handled first. Add numbers in parentheses.

{{{7^2 + (8)(4)}}}........then square their sum

{{{49 + (8)(4)}}}  ............Perform multiplication.
	
{{{49 + 32}}}  ...........then add

 {{{49 + 32 = 81}}}

so, answer is:
	

{{{(3 + 4)^2 + (8)(4) = 81}}}