Question

Give three examples of grouping symbols.

Short answer

The examples of grouping symbols are,

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

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

$50(2+6)=400$

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

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

Step-3 –2nd   Example of grouping symbol

$\begin{array}{c}2\{1+[4(2+1)+3]\}=2\{1+[8+4+3]\}\text{[multiply]}\\ 2\{1+[4(2+1)+3]\}=2\{1+15\}\text{[add]}\\ 2\{1+[4(2+1)+3]\}=2\left\{16\right\}\text{[add]}\\ 2\{1+[4(2+1)+3]\}=32\text{[multiply]}\end{array}$

Step-4 –3rd   Example of grouping symbol

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