# 173-1592212488562-HND MAT W1 Preliminary Lessons (Part 01)

```Unit 11 – Maths for Computing
2. PRELIMINARY LESSONS
1
2. Preliminary Lessons
2.1 Numbers
2.2 Number Systems
2.3 Algebra
2
2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
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= 0.5 − ππππππππ‘πππ ππ’ππππ
2
1
3
= 0.3333 … = 0. 3αΆ − ππππ’πππππ ππππππ‘πππ ππ’ππππ
αΆ 3αΆ − ππππ’πππππ ππππππ‘πππ ππ’ππππ
1.413413413 … = 1. 41
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2.1 Numbers
2.1.1 Types of Numbers
π
22
= 3.142 …
7
−
πππ − π‘πππππππ‘πππ ππ πππ − ππππ’πππππ πππ − ππππππ‘πππ ππ’ππππ
2 = 1.414 …
−
πππ − π‘πππππππ‘πππ ππ πππ − ππππ’πππππ πππ − ππππππ‘πππ ππ’ππππ
3 = 1.732 …
−
πππ − π‘πππππππ‘πππ ππ πππ − ππππ’πππππ πππ − ππππππ‘πππ ππ’ππππ
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2.1 Numbers
2.1.1 Types of Numbers
1 = 1.0 , −1 = −1 . 0 , 0 = 0.0
− ππππππππ‘πππ ππ’ππππs
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2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
Positive Integers with Zero. Integers ≥ 0
Negative Integers. Integers &lt; 0
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2.1 Numbers
2.1.1 Types of Numbers
Positive Integers with Zero. Integers ≥ 0
Negative Integers. Integers &lt; 0
Integers &gt; 0
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2.1 Numbers
2.1.1 Types of Numbers
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2.1 Numbers
2.1.1 Types of Numbers
ππππ ππ’πππππ  − β
πππ‘πππππ ππ’πππππ  − β
πΌππ‘πππππ  − β€
πβπππ ππ’πππππ  − W
πππ ππ‘ππ£π πΌππ‘πππππ  π€ππ‘β ππππ − β€0+
πππ‘π’πππ ππ’πππππ  − β
πππ ππ‘ππ£π πΌππ‘πππππ  − β€+
πππππ‘ππ£π πΌππ‘πππππ  − β€−
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2.1 Numbers
2.1.1 Types of Numbers
Special Types of Numbers
βͺ Odd and Even Numbers
βͺ Odd Numbers – Numbers that are not divisible by 2. Always the remainder is 1.
Ex : 1,3,5,7,9, …
βͺ Even Numbers – Numbers that are divisible by 2. Always the remainder is 0.
Ex : 2,4,6,8,10, …
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2.1 Numbers
2.1.1 Types of Numbers
Special Types of Numbers
βͺ Squared Numbers
βͺ Numbers that are created by squaring a number.
Ex :
12 = 1x1 = 1
(-1)2 = (-1)x(-1) = 1
22 = 2x2 = 4
(-2)2 = (-2)x(-2) = 4
52 = 5x5 = 25
(-5)2 = (-5)x(-5) = 25
102 = 10x10 = 100
(-10)2 = (-10)x(-10) = 100
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2.1 Numbers
2.1.1 Types of Numbers
Special Types of Numbers
βͺ Prime Numbers
βͺ Numbers that are only divisible by 1 and itself.
Ex :
2,3,5,7,11,13,17,19, …
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2.1 Numbers
2.1.2 The Number Line
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2.1 Numbers
2.1.3 BODMAS Theory
βͺ Order of Mathematical Operations
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2.1 Numbers
2.1.3 BODMAS Theory
Examples
i.) 4 - 3 + 6 x 1
ii.) 4 - (3 + 6) x 1
iii.) 8 &divide; 2 + 10 &divide; 5
iv.) 5 + (21 - 3) &divide; 6 x 3
v.) 22 + 6 – 4 &divide; 2
vi.) { 8 - [5 + (4 x 2)] } + 6
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2.1 Numbers
2.1.3 BODMAS Theory
Examples
i.) 4 - 3 + 6 x 1
=4-3+6
=1+6
=7
ii.) 4 - (3 + 6) x 1
=4-9x1
=4-9
= (-5)
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2.1 Numbers
2.1.3 BODMAS Theory
Examples
iii.) 8 &divide; 2 + 10 &divide; 5
= 4 + 10 &divide; 5
=4+2
=6
iv.) 5 + (21 - 3) &divide; 6 x 3
= 5 + 18 &divide; 6 x 3
=5+3x3
=5+9
= 14
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2.1 Numbers
2.1.3 BODMAS Theory
Examples
v.) 22 + 6 – 4 &divide; 2
=4+6–4&divide;2
=4+6-2
= 10 - 2
=8
vi.) { 8 - [5 + (4 x 2)] } + 6
= { 8 - [5 + 8] } + 6
= { 8 - 13} + 6
= (-5) + 6
=1
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Summary
2. Preliminary Lessons
2.1 Numbers
2.1.1 Types of Numbers
2.1.2 The Number Line
2.1.3 BODMAS Theory
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END OF THE SESSION
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