Matematika Industri I
Pengantar Aritmatika & Aljabar
Determinan
Matriks
Vektor
Numerals & places value
• 0,1,2,3,4,5,6,7,8,9
• 246 -> 2 hundreds 4 tens 6 units -> 200+40+6
Points on a line and order
First natural number
8>56<7
-5 < 4
-2 > -4
-1 < 0
Bracket
• Addition and subtraction
• What is the value of?
8 + (-3) = ….
9 - (-6) = ….
(-4) + (-8) = ….
(-14) - (-7) = ….
Bracket
• Multiplication and division
12 x 2 = 24 & (-12) x (-2) = 24
12 : 2 = 6 & (-12) : (-2) = -2
What is the value of :
(-5) x 3 = ….
12 : (-6) = ….
(-2) x (-8) = ….
(-14) : (-7) = ….
Bracket & Presedence Rule
Bracket & Presedence Rule
1. Commutativity
2. Associativity
3. Distributivity
Distributed from the right but not from the left
Factors Prime Factorization126 = ….?
Ex. 3
7
Proper
Ex. 12
7
Improper
Ex. 62
3
Mixed
Multiplying Fraction
Equivalent Fraction
Dividing Fractions
Adding & Subtracting Fraction
Powers
The Laws of Powers
The Laws of Powers
The Laws of Powers
n x mnm
n
n
n
nn
n-m
n
m
nmnm
a a .5
b
a
b
a .4
a.b b . a .3
a a
a 2.
a a x a .1
n
n
1n
1 -
n-
n
nnn
n
m
n m
0
a
1 a .10
a a
1 .9
a.b b . a .8
a a 7.
1 a .6
The Laws of Powers