Brackets or grouping symbols

 Last lesson we looked order of operation. This lesson we're going to learn about Brackets or grouping symbols.

There are 3 types of brackets in maths, Parentheses (  ), Brackets [  ] and Braces { }. When doing the order of operations, and there are grouping symbols are involved, do the innermost one grouping symbol first then do the next innermost grouping symbol.

In order of operations we learned the steps to doing the brackets and 4 operations, in this exercise we're learning make the order of the operations bit easier.

The first example is 50-{16+(50/5)}.                                 1) Work out (50/5).
                             = 50-{16+10}                                     2) Work out {16+10}.
                             =  50-26                                              3) Do the subtraction.
                             =24

Te second example is 72/ [76-(22+46)].                           1) Work out (22+46).
                                = 72/[76-68]                                    2) Work out [76-68]
                                = 72/8                                              3) Do the division.
                                = 9

 Third and last example is {[95-(3+2)]/5}+36x2.
                                  = {[95-(3+2)]/5}+36x2                1) Evaluate (3+2)=5
                                  = {[95-5]/5}+36x2                       2) Evaluate [95-5]=90
                                  = {90/5}+36x2                             3) Evaluate {90/5}=18              
                                  = 18+36x2                                    4) Evaluate 36x2=72                       
                                  = 18+72                                        5) Evaluate 18+72=90
                                  = 90

* Some of the people are having a trouble of the different way of asking in long questions. In fact, "evaluate, simplify and give the simplest answer for" are all different ways of asking the same questions.