(13+7) x(10-2) + 6^2

Question

i just need help getting the answer to this order of operations question.

 

Answer 1

Use P-E-M-D-A-S ("Please Excuse My Dear Aunt Sally"):

  Parentheses

  Exponent

  Multiplication or Division, left-to-right

  Addition or Subtraction, left-to-right

 

When any substitution is made, re-start that scan.

 

(13+7) * (10-2) + 6²             [re-written expression]

  20     * (10-2) + 6²             [Parentheses found, evaluate string inside -- addition; restasrt]

  20     *  8       + 6²             [Parentheses found, evaluate string inside -- subtraction; restart]

  20    *   8       + 36            [Exponentiation found, evaluate it]

   160              +  36            [Multiplication found, evaluate it; restart]

   196                                  [Addition found, evaluate it; no more operations]

Answer 2

(13 + 7)(10 - 2) + 6^2

 

= 20(8) +36

 

= 160 + 36

 

= 196