Use of the Bracket
Channel: Shamim Hussain
Date: 2018-06-02

3.7. Use of the Bracket:
If ‘+’ sign precedes a bracket, then signs (+/-) of the terms inside the bracket will not be changed when the bracket is removed.
If ‘-’ sign precedes a bracket, then signs (+/-) of the terms inside the bracket will be changed (-/+) when the bracket is removed. 
If ‘+’ sign precedes a bracket, then signs (+/-) of the terms inside the bracket will not be changed when the bracket is inserted. 
If ‘-’ sign precedes a bracket, then signs (+/-) of the terms inside the bracket will be changed (-/+) when the bracket is inserted.
Examples
 
1. 5 + (3 – 1) = 5 + 3 - 1
2. 5 + 3 + (- 1) = 5 + 3 – 1
3. 4 + 3 – 2 – 4 = 4 + (3 – 2 -4) 
4. 4 + 3 – 2 – 4 = 4 + 3 + (- 2 - 4)
5. 5 - (3 – 1) = 5 – 3 + 1
6. 5 - (4 + 7 - 2) = 5 – 4 – 7 + 2
7. 5 – 3 + 1 = 5 - (3 - 1)
8. 4 + 3 – 2 - 4 = 4 - (- 3 + 2 + 4)
 
Activity3.7
Remove the bracket
1. 1 – 2 + (3 – 4 + 5)
2. 1 – 2 +3-(4-5)
3. 1- [2 + {3 - (4 - 5)}]
1– 2 + 3 – 4 + 5 – 6 + 7 is an expression
4. Insert 6th and 7th terms of above expression within the bracket where ‘+’ sign precedes the bracket.
5. Insert 3rd, 4th, 5th, 6th and 7th terms of above expression within the bracket where ‘+’ sign precedes the bracket.
6. Insert 4th, 5th and 6th terms of above expression within the bracket where ‘-’ sign precedes the br4th, 5th, 6th acket.
7.  Insert 3rd, 4th, 5th, 6th and 7th terms of above expression within the bracket where ‘-’ sign precedes the bracket.