WISKUNDIGE GELETTERDHEID
NOG OEFENINGE

Basiese berekeninge : antwoorde.

MATHEMATICAL LITERACY
MORE EXERCISES

Onthou om die volgende volgorde vir berekening
vreesloos toe te pas :

1.  hakies                                             afgekort : ()
2.  vermenigvuldiging en deling
van links na regs                             afgekort : XD
3.  optelling en aftrekking
van links na regs                           afgekort : PM

NB.  Afronding vind in die LAASTE stap plaas

Remember to apply the following order of operations
diligently :

1.  parentheses                              abbreviated : ()
2.  multiplication and division
from left to right                      abbreviated : XD
from left to right                      abbreviated : PM

NB  Rounding takes place in the LAST step.

1.  2,34 + 3,07 - 7,08 x 0,12

=  2,34 + 3,07 ─ 0,8496      ──    XD

=  4,560                                     VQ. 1.

3.  (8,3 + 73,6) - 1,98 × 0,4

=  81,9 ─ 1,98 × 0,4           - - - ()

=  81,9 ─ 0,756                  - - - XD

=  81,144                                     VQ. 3.

OF / OR

3.  (8,3 + 73,6) - 1,98 × 0,4

=  81,9 ─ 0,756             - - - ()  dan /  then  XD

=  81,144                                     VQ. 3.

5.  9,03 - 7,5 x (0,7 + 5)

=  9,03 ─ 7,5 × 5,7           - - - ()

=  9,03 ─ 42,75                  - - - XD

=  ─ 33,720                                     VQ. 5.

7.  9,03 - (7,5 x 0,7) + 5

=  9,03 ─ 5,25 + 5               - - - ()

=  3,78 + 5                          - - - PM

=   8,78                                     VQ. 7.

9.  (9,52 x 83,1) + 73,92 x 0,002

=  791,112 + 73,92 × 0,002               - - - ()

=  791,112 + 0,14784                        - - - XD

=   791,260                                     VQ. 9.

Nota.  Die  ──── ─ lyn wat die teller en noemer skei,

word as 'n deelteken verstaan en kan ook as

n hakie verstaan word.

11,27 x 6,9
11.   ──────────
88,65

77,763
=  ───────
88,65

=  0,877                                            VQ. 11.

Die berekeninge kan ook in 'n enkele stap m.b.v.

'n sakrekenaaar gedoen word :

As jou sakrekenaar oor 'n breuk-knoppie beskik :

kies dit, tik die teller in, af pyl, tik die noemer in,

regs pyl en =

Indien nie, gebruik hakies om die teller en

noemer te skei. Tik : ( teller )  ÷  ( noemer ), =

Onthou net om elke hakie wat jy oopmaak , (,

weer toe te maak, )

Bv. 11 :

Breuk knoppie : Tik teller in 11,27 x 6,9, tik af pyl na

noemer, tik noemer in, 88,65, tik regs pyl om breuk

te verlaat, tik = om antwoord te kry.

Andersinds : Tik teller in hakies in, ( 11,27 X 6,0,

maak hakie toe), tik  ÷ , tik noemer in hakies in,

tik (, 88,65, maak hakie toe, ), tik =

Onthou om 'n oop hakie, (, weer toe te maak, )

13.  0,708                                            VQ. 13.

15.  0,563                                            VQ. 15.

17.  0,126                                            VQ. 17.

19.  0,959                                            VQ. 19.

21.  18,080                                            VQ. 21.

21               18
23.   ────   X   ─────
37               45

21 × 18
=  ───────
37 × 45

=  0,227                                   VQ. 23.

25.  0,007                                              VQ. 25.

28               49
27.   ────   ÷   ─────
45              125

28               125
=  ────   ×   ─────
45              49

=  1,587                                              VQ. 27.

29.  5 868,679                                           VQ. 29.

32,95
31.   ────────────
91,05 ─ 88,3

32,95
=  ──────
2,75

=  11,982

OF / OR

Tik / Type : 32,95 ÷ (91,05 ─ 88.3) =

VQ. 31.

18,3             6,09
33.   ────   ┼   ─────
32,1            18,75

=  0,57009....  +  0,3248....

=  0,895

OF / OR

Tik / Type : (18,3 ÷ 32,1) + (6,09 ÷ 18.75) =

VQ. 33.

35.  2,995                                                 VQ. 35.

5
37.  ──  van / of  36,4
8

5
=  ── × 36,4
8

=  22,75                                                VQ. 37.

12
39.  ──  van / of  816,2
29

12
=  ── × 816,2
29

=  337,738                                              VQ. 39.

41.  8%  van  21,06

8
=  ──── × 21,06
100

=  1,685                                              VQ. 41.

43.  15%  van / of    829,36

15
=  ─── × 829,36
100

=  124,404                                           VQ. 43.

2.  1,5 + (2,7 - 0,8) x 0,02

=  1,5 + 1,9 × 0,02      ──    ( )

=  1,5 + 0,038        ──    XD

=  1,538                                     VQ. 2.

4.  7,2 + (1,6 - 8,4 x 0,25)

=  7,2 + (1,6 ─ 2,1)          - - - XD in () / in ()

=  7,2 + (─ 0,5)                - - - ()

=  6,7                                           VQ. 4.

6.  (9,03 - 7,5) x 0,7 + 5

=  1,53 × 0,7 + 5          - - - PM in () / in ()

=  1,071 + 5                 - - - XD

=  6,071                                           VQ. 6.

8.  31,4 - 12,004 x 0,123

=  31,4 ─ 1,476492            - - - XD

=  29,953508                      - - - PM

=  29,954                                           VQ. 8.

10.  (6,02 x 87,9) + 33,45 x 0,0012

=  529,158 + 33,45 x 0,0012            - - - XD in ()

=  529,158 + 0,04014                    - - - XD

=  529,198                                           VQ. 10.

Note.  The  ──── ─ line separating the numerator and

the denominator is understood to be a division

sign and can also be seen as a parenthesis.

37,74 x 8,03
12.   ────────────
92,36

303,0522
=  ────────
92,36

=  3,281                                            VQ. 12.

The calculations can also be done in a single step

using a pocket calculator :

If your pocket calculator has a fraction button,

choose it, type the numerator, down arrow, type

in the denominator right arrow, and =

If not, use parantheses to separate the numerator and

the denominator. Type ( numerator, ), ÷ ,

( denominator, ), =

Remember to close a (, when you open it, ) .

Eg. 11 :

Fraction button : Type in the numerator, 11,27 x 6,9,

type down arrow to denominator, type in the

denominator 88,65, type the right arrow to leave

fraction, type = to obtain answer.

OR, Type the numerator in parentheses,

( 11,27 x 6,9, close ), type ÷ , type

(, the denominator, ), and =

Remember to close a ( with )

14.  0,071                                            VQ. 14.

16.  1 697,906                                     VQ. 16.

18.  0,003                                            VQ. 18.

20.  84,038                                          VQ. 20.

22.  3,423                                             VQ. 22.

33              36,02
24.   ────   X   ─────
14               42,5

33 × 36,02
=  ────────
14 × 42,5

=  1,994                                          VQ. 24.

26.  11,099                                            VQ. 26.

3,02            14,21
28.   ────   ÷   ─────
8,67            35,62

3,02            35,62
=  ────   ×   ─────
8,67            14,21

=  0,873                                         VQ. 28.

30.  0,484                                            VQ. 30.

9,742
32.   ────────────
87,4 + 35,7

9,742
=  ────────────
123,1

=  0,079

OF / OR

Tik / Type : 9,742 ÷ (87,4 + 35,7) =

VQ. 32.

74,28          28,24
34.   ────   ┼   ─────
102,36         3,67

=  0,725674....   ┼   7,6948228....

=  8,420

OF / OR

Tik / Type : (74,28 ÷ 102,36) + (28,24 ÷ 3.67) =

VQ. 34.

36.  0,013                                            VQ. 36.

7
38.  ──  van / of  33,6
9

7
=  ── × 33,6
7

=  26,133                                                VQ. 38.

21
40.  ──  van / of  279,36
38

21
=  ── × 279,36
38

=  154,383                                              VQ. 40.

42.  13,4%  van  316,07

13,4
=  ──── × 316,07
100

=  42,353                                       VQ. 42.

44.  33,33%  van / of R719,36

33,33
= R ───── × 719,36
100

=  R239,763                                           VQ. 44.