Chapter 1: Q1. (page 18)

Give three examples of grouping symbols.

Short Answer

Expert verified

The examples of grouping symbols are,

$6 - (- 3 + a - 2 b + c) = 9 - a + 2 b - c$

$2 {1 + [4 (2 + 1) + 3]} = 32$

$50 (2 + 6) = 400$

Step by step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

Step-2 – 1st Example of grouping symbol

$\begin{array}{l} 6 - (- 3 + a - 2 b + c) = 6 + 3 - a + 2 b - c [multiplythebracketby-1] \\ 6 - (- 3 + a - 2 b + c) = 9 - a + 2 b - c [add] \end{array}$

Step-3 –2nd Example of grouping symbol

$\begin{matrix} 2 {1 + [4 (2 + 1) + 3]} = 2 {1 + [8 + 4 + 3]} [multiply] \\ 2 {1 + [4 (2 + 1) + 3]} = 2 {1 + 15} [add] \\ 2 {1 + [4 (2 + 1) + 3]} = 2 {16} [add] \\ 2 {1 + [4 (2 + 1) + 3]} = 32 [multiply] \end{matrix}$

Step-4 –3rd Example of grouping symbol

$\begin{array}{l} 50 (2 + 6) = 50 (8) [add] \\ 50 (2 + 6) = 400 [multiply] \end{array}$

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Give three examples of grouping symbols.

Short Answer

Step by step solution

Step-1 – Order of operations

Step-2 – 1st Example of grouping symbol

Step-3 –2nd Example of grouping symbol

Step-4 –3rd Example of grouping symbol

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