BRACKETS

Definition of Brackets

Brackets can be defined as a pair of symbols used to group things together.

More About Brackets

  • Brackets can be classified into four types based on their usage
  • Parentheses or round brackets, denoted by '( )', is generally used to define the different precedence of numbers in a mathematical expression
  • Box brackets or square brackets: Apart from mathematical expression, '[ ]' square brackets are also used to represent the numbers in interval

  • Curly brackets or braces, denoted by '{ }', are used to delimit sets
  • Angle brackets or chevrons, denoted by '<>', are used to enclose highlighted material to denote dialogue that is thought instead of spoken

Video Examples: How to do Algebra Part 1 1 Expanding Brackets 1


Examples of Brackets

    a(x + y) = ax + ay
    3ab2c(2a + 3ab - 5bc2 + 1)
    = 3ab2c × 2a + 3ab2c × 3ab - 3ab2c × 5bc2 + 3ab2c × 1
    = 16 + (4 × 7) − 4
    = 16 + 28 - 4
    = 44 - 4 = 40

Solved Example on Brackets

Ques: What is the value of the expression below? 20 - (5 × 4) + 4

    Choices:
    A. 2
    B. 3
    C. 1
    D. 4
    Correct Answer: D

Solution:

    Step 1: The order of operation for the expression is, operation within grouping symbol first, addition next, and then subtraction, from left to right
    Step 2: 20 - (5 × 4) + 4 [Original expression.]
    Step 3: = 20 - 20 + 4 [Do the operation within the grouping symbol.]
    Step 4: = 24 - 20 [Add 20 and 4.]
    Step 5: = 4 [Subtract 20 from 24.]
    Step 6: The value of the given expression is 4.

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