WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
Omskakeling in metrieke sisteem
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
Conversion in the metric system
Omskakeling in die metrieke sisteem
is redelik eenvoudig omdat eenhede
op veelvoude van 10 gebaseer is.
Leer die voorvoegsels en hulle
afkortings in die onderstaande
tabel en gebruik dit.
Die voorvoegsels is van klein
na groot gerangskik :
Conversion in the metric system is
comparatively easy because the units
are based on multiples of 10.
Learn the prefixes and their
abbreviations in the table below
and use it.
The prefixes are arranged from
small to large :
milli- senti- desi- eenheid Deka- hekto- kilo-
m- c- d- unit D- h- k-
milli- centi- desi- unit Decca- hekto- kilo-
Leer EEN van die volgende (dit
help om nie deurmekaar te raak
in eksamenkamer nie).
Om van klein na groot om te
skakel moet ons deel
━━━━> ÷
OF
Om van groot na klein om te
skakel moet ons vermenigvuldig
<━━━━ X
Pas dit nou toe :
Skakel 25 mm om na dm.
Dus van klein na groot en ons
moet deel.
Hoeveel stappe is nodig om van
mm na dm te beweeg? 2 stappe,
dus moet ons met 2 veelvoude
van 10, 10 x 10 of 100 deel.
Dus, 25 mm = 25 ÷ (10 x 10)
Dus, 25 mm = 0,25 dm
Skakel 25 m2 om na dm2.
Onthou dat m2 beteken m X m.
Dus moet ons m tweemaal
omskakel na dm.
Dus van groot na klein en ons
moet vermenigvuldig.
Hoeveel stappe is nodig om van
m na dm te beweeg? 1 stap,
dus moet ons tweemaal met 'n veelvoud
van 10, 10, vermenigvuldig.
Dus, 25 m2 = 25 X (10 x 10) dm
Dus, 25 m2 = 2 500 dm2
Doen nou onderstaande
omskakelings en toon al
jou bewerkings :
Skakel die eerste hoeveelheid om
na die tweede, d.i. 2,3 cm ; mm beteken
skakel 2,3 cm om na mm.
Learn ONE of the following ( it helps
you not to become confused in the
exam room)
To change from small to large; we
have to divide.
━━━━> ÷
OR
To change from large to small; we
have to multiply.
<━━━━ X
Now apply it.
Convert 25 mm to dm.
Therefore from small to large and
we have to divide.
How many steps are necessary to
move from mm to dm? 2 steps.
Therefore we have to divide by
2 multiples of 10, 10 x 10 or 100.
Thus 25 mm = 25 ÷ (10 x 10) dm
= 0,25 dm
Convert 25 m2 to dm2.
Remember that m2 means m X m
Therefore we have to convert
m to dm twice.
Thus, from large to small and
we have to multiply.
How many steps from
m to dm? 1 step
Thus we have to multiply by
one multiple of 10, 10, twice
Thus 25 m2 = 25 X ( 10 X 10) dm2
= 2 500 dm2
Now do the conversions below
and show all your steps ;
Convert the first quantity to
the second, i.e. 2,3 cm ; mm means
convert 2,3 cm to mm.
1. 34,2 cm ; mm
[ A 1. ]
2. 81,3 cm ; m
[ A 2 ]
3. 1 500 m ; km
[ A 3 ]
4. 214 mm ; cm
[ A 4. ]
5. 0,86 km ; m
[ A 5 ]
6. 44,3 m ; cm
[ A 6 ]
7. 816 mm ; m
[ A 7. ]
8. 240 mm ; cm
[ A 8 ]
9. 38,3 cm ; dm
[ A 9 ]
10. 454 cm ; m
[ A 10. ]
11. 116 cm ; mm
[ A 11 ]
12. 131 cm ; m
[ A 12 ]
13. 2,365 m ; cm
[ A 13. ]
14. 1,873 m ; mm
[ A 14 ]
15. 21,3 dm ; m
[ A 15 ]
16. 800 m ; km
[ A 16. ]
17. 316 mm ; m
[ A 17 ]
18. 1,26 m ; cm
[ A 18 ]
19. 2 106 m ; km
[ A 19. ]
20. 0,234 m ; mm
[ A 20 ]
21. 3,625 m ; dm
[ A 21 ]
22. 8,173 dm ; mm
[ A 22. ]
23. 21,53 cm ; dm
[ A 23 ]
24. 1,862 m ; mm
[ A 24 ]
25. 625 cm ; dm
[ A 25. ]
26. 8,025 m ; dm
[ A 26 ]
27. 21,53 mm ; mm
[ A 27 ]
28. 86,42 cm ; m
[ A 28. ]
29. 8 025 dm ; km
[ A 29 ]
30. 21,53 km ; mm
[ A 30 ]
31. 23 cm
2 ; mm
2 [ A 31. ]
32. 24,36 cm
2 ; mm
2 [ A 32 ]
33. 816 mm
2 ; cm
2 [ A 33 ]
34. 1 063 mm
2 ; cm
2 [ A 34. ]
35. 3 1786 cm
2 ; m
2 [ A 35 ]
36. 1,2 m
2 ; cm
2 [ A 36 ]
37. 2,364 m
2 ; mm
2 [ A 37. ]
38. 28 004,3 mm
2 ; m
2 [ A 38 ]
39. 3 178 cm
2 ; m
2 [ A 39 ]
40. 1,2 m
2 ; mm
2 [ A 40. ]
41. 2,364 m
2 ; mm
2 [ A 41 ]
42. 28 004,3 mm
2 ; m
2 [ A 42 ]
43. 3,82 m
2 ; cm
2 [ A 43. ]
44. 2,001 dm
2 ; mm
2 [ A 44 ]
45. 2 364 mm
2 ; dm
2 [ A 45 ]
46. 704,5 cm
2 ; m
2 [ A 46. ]
47. 382 cm
2 ; mm
2 [ A 47 ]
48. 2 351 mm
2 ; m
2 [ A 48 ]
49. 2,364 m
2 ; dm
2 [ A 49. ]
50. 88 974,5 mm
2 ; m
2 [ A 50 ]
51. 0,802 m
2 ; mm
2 [ A 51 ]
52. 136 cm
2 ; mm
2 [ A 52. ]
53. 123 871 mm
2 ; dm
2 [ A 53 ]
54. 213,54 dm
3 ; cm
3 [ A 54 ]
55. 80,2 cm
3 ; mm
3 [ A 55. ]
56. 871 mm
3 ; m
3 [ A 56 ]
57. 3,964 m
3 ; cm
3 [ A 57 ]
58. 488 974, cm
3 ; dm
3 [ A 58. ]
59. 1,063 m
3 ; cm
3 [ A 59 ]
60. 871 cm
3 ; mm
3 [ A 60 ]
61. 3,964 dm
3 ; cm
3 [ A 61. ]
62. 8 974,5 mm
3 ; dm
3 [ A 62 ]
63. 80,2 cm
3 ; m
3 [ A 63 ]
64. 871 mm
3 ; m
3 [ A 64. ]
65. 3,964 m
3 ; dm
3 [ A 65 ]
66. 568 374,5 cm
3 ; dm
3 [ A 66 ]
67. 650,2 cm
3 ; mm
3 [ A 67. ]
68. 871 923 mm
3 ; m
3 [ A 68 ]
69. 3,968 dm
3 ; cm
3 [ A 69 ]
70. 974,5 m
3 ; cm
3 [ A 70. ]
71. 80,2 dm
3 ; mm
3 [ A 71 ]
72. 3,968 m
3 ; mm
3 [ A 72 ]