Importance of Brackets
Using brackets Brackets help in simplifying an expression that has more than one mathematical operation. If an expression that includes the brackets is given, then perform the operation inside the bracket and change every thing into a single number. Then carry out the operation that lies outside the bracket. e.g. 1. (6 + 8) x 10 = 14 x 10 = 140 2. (8 + 3) (9 - 4) = 11 x 5 = 55 Expanding brackets The use of brackets allows us to follow a certain procedure to expand the brackets systematically. e.g. 8 x 109 = 8 x (100 + 9) = 8 x 100 + 8 x 9 = 800 + 72 = 872 105 x 108 = (100 + 5) x (100 + 8)                          =  (100 + 5) x 100 + (100 + 5) x 8                          = (100 x 100) + (5 x 100) + (100 x 8) + (5 x 8)                          = 10000 + 500 + 800 + 40                          = 11340.

Summary

Using brackets Brackets help in simplifying an expression that has more than one mathematical operation. If an expression that includes the brackets is given, then perform the operation inside the bracket and change every thing into a single number. Then carry out the operation that lies outside the bracket. e.g. 1. (6 + 8) x 10 = 14 x 10 = 140 2. (8 + 3) (9 - 4) = 11 x 5 = 55 Expanding brackets The use of brackets allows us to follow a certain procedure to expand the brackets systematically. e.g. 8 x 109 = 8 x (100 + 9) = 8 x 100 + 8 x 9 = 800 + 72 = 872 105 x 108 = (100 + 5) x (100 + 8)                          =  (100 + 5) x 100 + (100 + 5) x 8                          = (100 x 100) + (5 x 100) + (100 x 8) + (5 x 8)                          = 10000 + 500 + 800 + 40                          = 11340.

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