This exercise 1.1 of 11th class math, belongs to Punjab board & Federal Board of Pakistan.
🕒 TIMECODES
00:00 Q.1 Concept
02:02 Properties of Real Numbers?
05:26 Closure Property w.r.t Addition
08:36 Closure Property w.r.t Multiplication
11:26 Associative Property w.r.t Addition
14:56 Associative Property w.r.t Multiplication
17:17 Additive Identity Property
18:51 Multiplicative Identity Property
20:41 Additive Inverse Property
23:47 Multiplicative Inverse Property
27:45 Commutative Property w.r.t Addition
28:55 Commutative Property w.r.t Multiplication
29:51 Distributive Property of Multiplication over addition
33:18 Q.1 - Solution
33:45 Q.1 - Part I
40:00 Q.1 - Part ii
42:17 Q.1 - Part iii
47:58 Q.1 - Part iv
51:58 Q.2 - Concept
53:17 Q.2 - Part I
54:31 Q.2 - Part ii
56:25 Q.2 - Part iii
57:26 Q.2 - Part iv
58:34 Q.2 - Part v
59:55 Q.2 - Part vi
01:01:09 Q.2 - Part vii
01:01:52 Q.2 - Part viii
01:02:46 Q.2 - Part ix
01:04:14 Q.2 - Part x
01:05:00 Q.2 - Part xi
01:06:02 Q.2 - Part xii
01:06:32 Q.3 - Concept
01:07:52 Properties of Inequalities
01:09:16 Trichotomy Property
01:13:48 Transitive Property
01:19:07 Addition Property
01:24:41 Subtraction Property
01:28:34 Multiplication Property
01:34:29 Division Property
01:38:51 Multiplicative Inverse Property
01:43:56 Q.3 - Part I
01:46:38 Q.3 - Part ii
01:48:57 Q.3 - Part iii
01:50:38 Q.3 - Part iv
01:52:12 Q.3 - Part v
01:55:15 Q.3 - Part vi
01:56:21 Q.4 - Part I
02:02:03 Q.4 - Part ii
02:11:36 Q.5
02:17:14 Q.6 - Part I
02:22:25 Q.6 - Part ii
02:30:56 Q.6 - Part iii
02:39:36 Q.6 - Part iv
02:45:21 Rational Number ?
02:48:26 Decimal Representation of Rational Number
02:49:44 Terminating Decimal
02:52:00 Non-Terminating & Recurring Decimal Number
02:55:55 Irrational Numbers
02:57:14 Example 1 Concept
02:58:34 All Parts
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