QUANTITATIV
E METHODS
Theory
Pauline Laevens
,Essential Maths 1: Numbers and symbols
Adding and subtracting
+ (-) or – (+) -> -
- (-) or + (+) -> +
Multiplying / dividing numbers
Same signs give -> +
Different signs -> -
Combining operations
In order:
1. Brackets
2. x en /
3. + en –
Voorbeeld: 2 x 2 x (27/3) + (1 – 20) = 2 x 2 x (9) + (- 19) = 36 – 19 = 17
Working with symbols -> same rules!
- (-a) = a, - (+a) = -a
a x (-b) = -ab , (-a) x (-ab) = ab
a / (-b) = -a/b, (-a) / -(b) = a/b
Remember! 2a= 2xa
Collecting terms together
2pq + pq – 5pq = -2pq
s/2r + 4s/2r = 5s/2r (Pas op!!! NOEMER BLIJFT GELIJK)
1
, Essential maths 2: Simplifying expressions
Adding and subtracting fractions (+ en - )
Eerst op gelijke noemer zetten!
Voorbeelden:
2/3 -1/4 = 8/12 – 3/12= 5/12 (op noemer 12 zetten)
a/b + a/2b = 2a/2b + a/2b= 3a/2b
Multiplying and divinding factors ( X en / )
X maal -> teller x teller en noemer x noemer
/ delen -> X omgekeerde en dan terug teller x teller en noemer x noemer
Percentages ( number of hundreths)
6 % van 300 = x 300 = 18
25/ 400 = 0,0625 x 100= 6,25%
Expanding brackets
( a + b) x ( c + d) = ac + ad + bc + bd
Powers
Voorbeeld:
(-2)4 = 16
(2/3)5 = 32/243
a0 = ALTIJD 1 !!!
Negative powers
b-m = (1/b)m
-2 2
2 = (1/2) = 1/4
3-4= (1/3)4 = 1/81
(1+a)-2 = (1/(1+a))2
2
E METHODS
Theory
Pauline Laevens
,Essential Maths 1: Numbers and symbols
Adding and subtracting
+ (-) or – (+) -> -
- (-) or + (+) -> +
Multiplying / dividing numbers
Same signs give -> +
Different signs -> -
Combining operations
In order:
1. Brackets
2. x en /
3. + en –
Voorbeeld: 2 x 2 x (27/3) + (1 – 20) = 2 x 2 x (9) + (- 19) = 36 – 19 = 17
Working with symbols -> same rules!
- (-a) = a, - (+a) = -a
a x (-b) = -ab , (-a) x (-ab) = ab
a / (-b) = -a/b, (-a) / -(b) = a/b
Remember! 2a= 2xa
Collecting terms together
2pq + pq – 5pq = -2pq
s/2r + 4s/2r = 5s/2r (Pas op!!! NOEMER BLIJFT GELIJK)
1
, Essential maths 2: Simplifying expressions
Adding and subtracting fractions (+ en - )
Eerst op gelijke noemer zetten!
Voorbeelden:
2/3 -1/4 = 8/12 – 3/12= 5/12 (op noemer 12 zetten)
a/b + a/2b = 2a/2b + a/2b= 3a/2b
Multiplying and divinding factors ( X en / )
X maal -> teller x teller en noemer x noemer
/ delen -> X omgekeerde en dan terug teller x teller en noemer x noemer
Percentages ( number of hundreths)
6 % van 300 = x 300 = 18
25/ 400 = 0,0625 x 100= 6,25%
Expanding brackets
( a + b) x ( c + d) = ac + ad + bc + bd
Powers
Voorbeeld:
(-2)4 = 16
(2/3)5 = 32/243
a0 = ALTIJD 1 !!!
Negative powers
b-m = (1/b)m
-2 2
2 = (1/2) = 1/4
3-4= (1/3)4 = 1/81
(1+a)-2 = (1/(1+a))2
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