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Chapter 1: Q1. (page 18)

Give three examples of grouping symbols.

Short Answer

Expert verified

The examples of grouping symbols are,

6鈭�(鈭�3+a鈭�2b+c)=9鈭�a+2b鈭�c

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

50(2+6)=400

Step by step solution

01

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.
02

Step-2 – 1st Example of grouping symbol

6鈭�(鈭�3+a鈭�2b+c)=6+3鈭�a+2b鈭�c[multiplythebracketby-1]6鈭�(鈭�3+a鈭�2b+c)=9鈭�a+2b鈭�c[add]

03

Step-3 –2nd   Example of grouping symbol

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]

04

Step-4 –3rd   Example of grouping symbol

50(2+6)=50(8)[add]50(2+6)=400[multiply]

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Evaluate the expression 521-32.

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