what is the correct way to answer 3-3÷1/3+1?

Question

Please help me to answer this question

Answer 1

 3-3÷1/3+1

 

PLZ be very careful deciding what mathematical operators are which (since you have both ÷ and /).

 

You may remember the precedence rules (order of operations) using the P-E-M-D-A-S (Please Excuse My Dear Aunt Sally) acronym, for

    1. Parentheses

    2. Exponentiation

    3. Multiplication and Division, left to right

    4. Addition and Subtraction, left to right

 

These two expressions are different:    3-3÷1/3+1    and   3 - 3 ÷ (1/3) + 1, so I wrote the caution about considering 1/3 as one-third.  Was 1/3 actually written similar to ½, which means "(1/2)" with parentheses?

 

If the parentheses are not included, then the rules are applied thus:

   3 - 3 ÷ 1 / 3 + 1              [division, L->R]

   3 -    3    / 3 + 1              [division, L->R]

   3 -     1       + 1               [A or S, L->R]

         2          + 1               [A or S, L->R]

                   3

 

Computer note:  You may type  3-3÷1/3+1  directly into the search box on Google or Bing and see 3 as the answer.  The inserted parentheses indicated the order that was performed.

Answer 2

Follow the order of operations:

parenthesis

multiplication/division from left to right

addition/subtraction from left to right

 

3 - 3 ÷ 1/3 + 1

3 -     9        + 1  

     -6            + 1

             -5