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Exam (elaborations)

DSC1520 EXAM PACK 2023

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Uploaded on
June 23, 2023
Number of pages
169
Written in
2022/2023
Type
Exam (elaborations)
Contains
Questions & answers

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DSC1520
EXAM
PACK 2023
QUESTIONS WITH ANSWERS

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,DSC1520
EXAM
PACK 2023
LATEST
QUESTIONS
AND ANSWERS
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, Page 1 of 167




Study Unit 1 : Mathematical preliminaries
Chapter 1 : Sections 1.1 – 1.6


1. Basics
• Numbers: different type of numbers – Natural, Real, etc.
Also called constants

• Basic operations
o + (add); 2 + 3 = 5
o – (subtract); 3 – 2 = 1

za
ls S
o x (multiply); also •; 3 x 2 = 3•2 = 6
ria L
o.
to RIA
.c
o ÷ (division) also / or fraction ( 1 = 1 divide by 2);
2
rtu O



6
6 ÷ 3 = 6/3 = =2
.g T




3
w U




Remember:
w T




1 x anything = anything
w .R.




1x8=8
G




0 x anything = 0
0x4=0
1 + anything = one more than anything
1 + 345 = 346
0 + anything = anything
0 + 34 = 34
anything ÷ 0 = not allowed
12 ÷ 0 = not allowed
0 ÷ anything = 0
0÷7=0

, Page 2 of 167




• Brackets ( ) : group operations together
(3 + 4) – 3
=7–3
=4

• Order of operation: BODMAS
Brackets; Of; Divide; Multiply; Add; Subtract
40 – 4 x (5 + 8) + 20
= 40 – 4 x (13) + 20
= 40 – 52 + 20

za
ls S
=8
ria L
o.
to RIA
.c
• Variables: used for unknown or generalisation of things: place
rtu O




holder: use alphabetic characters for example X or A or Y. Can
.g T




take on different values
w U
w T




3x + 2y +7g + x
w .R.
G




3x is known as a term with coefficient 3 and variable x

Remember : the last term x has a coefficient value of 1 in front of
it namely 1x


o Operations on variables or unknown:
 + and – : only if same variable, then + or – coefficients and
variable stays the same
3x + 4x + 3 = (3 + 4)x + 3 = 7x + 3
5x – x – 6 = (5 – 1)x – 6 = 4x –6

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