WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
  
Omskakeling in metrieke sisteem : antwoorde
  
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
  
Conversion in the metric system : anwers
  
  
Antwoorde  / Answers  1  
  
    
         1.  Van groot na klein, ons moet X
              Aantal stappe = 1, dus
              1 veelvoud van 10, 10
                34,2 cm = 34,2 X 10 mm
                              = 342 mm
                                                         [ V 1. ]
  
    
         2.  Van klein na groot, ons moet ÷
              Aantal stappe = 2, dus
              2 veelvoude van 10, 10 X 10
                81,3 cm = 81,3 X 10 mm
                              = 0,813 m
                                                         [ V 1. ]
  
    
         3.  Van klein na groot, ons moet ÷
              Aantal stappe = 3, dus
              3 veelvoude van 10, 10 X 10 X 10
                1 500 m = 1 500 ÷ (10X10X10) km
                              = 1,500 m
                                                         [ V 1. ]
  
    
         4.  Van klein na groot, ons moet ÷
              Aantal stappe = 1, dus
              1 veelvoud van 10, 10
                214 mm = 214 ÷ (10) cm
                              = 21,4 cm
                                                         [ V 1. ]
  
    
         5.  Van groot na klein, ons moet X
              Aantal stappe = 3, dus
              3 veelvoude van 10, 10X10X10
                0,86 km = 0,86 X (10X10X10) m
                              = 860 m
                                                         [ V 1. ]
  
    
         6.  Van groot na klein, ons moet X
              Aantal stappe = 2, dus
              2 veelvoude van 10, 10X10
                44,3 m = 44,3 X (10X10) cm
                            = 4 430 cm
                                                         [ V 1. ]
  
    
         7.  Van klein na groot, rigting ━━>
              ons moet ÷ dus ━━> ⇒ ÷
              Aantal stappe = 3, dus
              3 veelvoude van 10, 10X10X10
              Stappe = 3 : 3 veelvoude 10X10X10
                816 mm = 816 ÷ (10X10X10) m
                              = 0,816 m
                                                         [ V 1. ]
  
    
         8.  Van klein na groot, rigting ━━>
              ons moet ÷ dus ━━> ⇒ ÷
              Aantal stappe = 1, dus
              1 veelvoud van 10, 10
              Stappe = 1 : 1 veelvoud 10X10X10
                240 mm = 240 ÷ (10) cm
                              = 24,0 cm
                                                         [ V 1. ]
  
    
         9.  Van klein na groot, rigting ━━>
              ons moet ÷ dus ━━> ⇒ ÷
              Aantal stappe = 1, dus
              1 veelvoud van 10, 10
              Stappe = 1 : 1 veelvoud 10
                38,3 cm = 38,3 ÷ (10) dm
                              = 3,83 dm
                                                         [ V 1. ]
  
    
       10.  Van klein na groot ⇒ ÷
              Aantal stappe = 2 ⇒ 10 x 10
                454 cm = 454 ÷ (10 x 10) m
                              = 4,54 m
                                                         [ V 1. ]
  
    
       11.  Van groot na klein ⇒ X
              Aantal stappe = 1 ⇒ 10
                116 cm = 116 X 10 mm
                             = 1 160 mm
                                                         [ V 1. ]
  
    
       12.  Van klein na groot ⇒ ÷
              Aantal stappe = 2 ⇒ 10X10
                131 cm = 131 ÷ (10X10) m
                             = 1,31 m
                                                         [ V 1. ]
  
    
       13.  m : cm : rigting <━━ ⇒ X
              Aantal stappe = 2 ⇒ 10X10
                2,365 m = 2,365 X (10X10) cm
                             = 236,5 cm
                                                         [ V 1. ]
  
    
       14.  m : mm : rigting <━━ ⇒ X
              Aantal stappe = 3 ⇒ 10X10X10
                1,873 m = 1,873 X (10X10X10) cm
                              = 1 873 mm
                                                         [ V 1. ]
  
    
       15.  rigting ━━>  ⇒  ÷  ;  1  ⇒  10
                21,3 dm = 21,3 ÷ 10 m
                              = 2,13 m
                                                         [ V 1. ]
  
    
       16.  rigting ━━>  ⇒  ÷  ;  3  ⇒  10X10X10
                800 m = 800 ÷ (10X10X10) km
                           = 0,800 km
                                                         [ V 1. ]
  
    
       17.  rigting ━━>  ⇒  ÷  ;  3  ⇒  10X10X10
                316 mm = 316 ÷ (10X10X10) m
                              = 0,316 m
                                                         [ V 1. ]
  
    
       18.  rigting <━━  ⇒  X  ;  2  ⇒  10X10
                1,26 m = 1,26 X (10X10) cm
                            = 126 cm
                                                         [ V 1. ]
  
    
       19.  2 106 m = 2 106 ÷ (10X10X10) km
                            = 2,106 km
                                                         [ V/Q 1. ]
  
    
       21.  3,625 m = 3.625 X 10 dm
                            = 36,25 dm
                                                         [ V/Q 1. ]
  
    
       23.  21,53 cm = 21.53 ÷ 10 dm
                              = 2,153 dm
                                                         [ V/Q 1. ]
  
    
       25.  625 cm = 625 ÷ 10 dm
                           = 62,5 dm
                                                         [ V/Q 1. ]
  
    
       27.  21,53 mm = 21,53 ÷ (10x10x10) m
                               = 0,02153 m
                                                         [ V/Q 1. ]
  
    
       29.  8,025 dm = 8,025 ÷ (10x10x10x10) km
                              = 0,0008025 km
                                                         [ V/Q 1. ]
  
    
       31.  cm2 : mm2 : rigting ━━> ⇒ X
              Aantal stappe = 1 ⇒ 10
              cm2  =  cm X cm
              Dus ons moet die omskakeling
              tweemaal maak
              sodat x cm2 = x X 10 X 10 mm2
                23 cm2 = 23 X (10X10) mm2
                            = 2 300 mm2
                                                         [ V 1. ]
  
    
       32.  cm2 : mm2 : rigting <━━ ⇒ X
              Aantal stappe = 1 ⇒ 10
              cm2  =  cm X cm
              Dus ons moet die omskakeling
              tweemaal maak
              sodat x cm2 = x X 10 X 10 mm2
                24,36 cm2 = 24,36 X (10X10) mm2
                                 = 2 436 mm2
                                                         [ V 1. ]
  
    
       33.  mm2 : cm2 : rigting ━━> ⇒ ÷
              Aantal stappe = 1 ⇒ 10
              cm2  =  cm X cm
              Dus ons moet die omskakeling
              tweemaal maak
              sodat x mm2 = x ÷ (10 X 10) mm2
                816 mm2 = 816 ÷ (10X10) cm2
                                 = 8,16 cm2
                                                         [ V 1. ]
  
    
       34.  1 063 mm2 = 1 063 ÷ (10x10) cm2
                               = 10,63 cm2
                                                         [ V/Q 1. ]
  
    
       36.  1,2 m2 = 1,3 X (10x10x10x10) cm2
                         = 12 000 cm2
                                                         [ V/Q 1. ]
    
       38.  28 004,3 mm2 = 28 004,3 ÷ (1000x1000) cm2
                                     = 0,0280043 m2
                                                         [ V/Q 1. ]
    
       40.  1,2 m2 = 1,2 X (1000x1000) mm2
                          = 1 200 000 mm2
                                                         [ V/Q 1. ]
    
       42.  28 004,3 mm2 = 28 004,3 ÷ (1000x1000) m2
                                      = 0,0280043 m2
                                                         [ V/Q 1. ]
    
       44.  2,001 dm2 = 2,001 X (100x100) mm2
                               = 20 010 mm2
                                                         [ V/Q 1. ]
    
       46.  704,5 cm2 = 704,5 ÷ (100x100) m2
                               = 0,07045 m2
                                                         [ V/Q 1. ]
    
       48.  2 351 mm2 = 2 351 ÷ (1000x1000) m2
                                 = 0,002351 m2
                                                         [ V/Q 1. ]
    
       50.  88 974,5 mm2 = 88 974,5 ÷ (1000x1000) m2
                                      = 0,0889745 m2
                                                         [ V/Q 1. ]
    
       52.  136 cm2 = 136 X (10x10) mm2
                            = 13 600 mm2
                                                         [ V/Q 1. ]
    
       54.  dm3 : cm3 : rigting <━━ ⇒ X
              Aantal stappe = 1 ⇒ 10
              dm3  =  dm X dm X dm
              Dus ons moet die omskakeling
              driemaal maak
              sodat x dm3 = x X 10 X 10X 10 cm3
                213,54 dm3 = 213,54 X (10X10X10) cm3
                                   = 213 540 cm3
                                                         [ V 1. ]
  
    
       55.  cm3 : mm3 : rigting <━━ ⇒ X
              Aantal stappe = 1 ⇒ 10
              cm3  =  cm X cm X cm
              Dus ons moet die omskakeling
              driemaal maak
              sodat x cm3 = x X 10 X 10 X 10 mm3
                80,2 cm3 = 80,2 X (10X10X10) mm3
                                 = 80 200 mm3
                                                         [ V 1. ]
  
    
       56.  871 mm3 = 871 ÷ (1000x1000x1000) m3
                             = 0,000000871 m3
                                                         [ V/Q 1. ]
    
       58.  488 974 cm3 = 488 974 ÷ (10x10x10) dm3
                             = 488,974 dm3
                                                         [ V/Q 1. ]
    
       60.  871 cm3 = 871 X (10x10x10) mm3
                             = 871 000 mm3
                                                         [ V/Q 1. ]
    
       62.  8 974,5 mm3 = 8 974,5 ÷ (100x100x100) dm3
                                    = 0,0089745 dm3
                                                         [ V/Q 1. ]
    
       64.  871 mm3 = 8 974,5 ÷ (1000x1000x1000) m3
                             = 0,000000871 m3
                                                         [ V/Q 1. ]
    
       66.  568 374,5 cm3 = 8 974,5 ÷ (10x10x10) dm3
                                       = 568,3745 dm3
                                                         [ V/Q 1. ]
    
       68.  871 923 mm3 = 871 923 ÷ (1000x1000x1000) m3
                                     = 0,000871923 m3
                                                         [ V/Q 1. ]
    
       70.  974,5 m3 = 974,5 X (100x100x100) cm3
                              = 974500000 cm3
                                                         [ V/Q 1. ]
    
       72.  3,968 m3 = 3,968 X (1000x1000x1000) mm3
                              = 3 968 000 000 mm3
                                                         [ V/Q 1. ]
    
         1.  From large to small, we have to X
              Number of steps = 1, thus
              1 multiple of 10, 10
                34,2 cm = 34,2 X 10 mm
                              = 342 mm
                                                         [ Q 1. ]
  
    
         2.  From small to large, we have to ÷
              Number of steps = 2, thus
              2 multiples of 10, 10 x 10
                81,3 cm = 81,3 ÷ 10 x 10 m
                              = 0,813 m
                                                         [ Q 1. ]
  
    
         3.  From small to large, we have to ÷
              Number of steps = 3, thus
              3 multiples of 10, 10 x 10 x 10
                1 500 m = 1 500 ÷ (10 x 10 x 10) km
                              = 1,500 km
                                                         [ Q 1. ]
  
    
         4.  From small to large, we have to ÷
              Number of steps = 1, thus
              1 multiple of 10, 10
                214 mm = 214 ÷ (10) cm
                              = 21,4 cm
                                                         [ Q 1. ]
  
    
         5.  From large to small, we have to X
              Number of steps = 3, thus
              3 multiples of 10, 10 x 10 x 10
                0,86 km = 0,86 X (10 x 10 x 10) km
                              = 860 m
                                                         [ Q 1. ]
  
    
         6.  From large to small, we have to X
              Number of steps = 2, thus
              2 multiples of 10, 10 x 10
                44,3 m = 44,3 X (10 x 10) cm
                              = 4 430 cm
                                                         [ Q 1. ]
  
    
         7.  From small to large, direction  ━━>
              we have to ÷ therefore ━━> ⇒ ÷
              Number of steps = 3, thus
              3 multiples of 10, 10 x 10 x 10
              Steps = 3 : 3 multiples 10 x 10 x 10
                816 mm = 816 ÷ (10 x 10 x 10) m
                              = 0,816 m
                                                         [ Q 1. ]
  
    
         8.  From small to large, direction  ━━>
              we have to ÷ therefore  ━━>  ⇒  ÷
              Number of steps = 1, thus
              1 multiple of 10, 10
              Steps = 1 : 1 multiple 10
                240 mm = 240 ÷ 10 cm
                              = 24,0 cm
                                                         [ Q 1. ]
  
    
         9.  From small to large, direction  ━━>
              we have to ÷ therefore  ━━>  ⇒  ÷
              Number of steps = 1, thus
              1 multiple of 10, 10
              Steps = 1 : 1 multiple 10
                38,3 cm = 38,3 ÷ 10 dm
                              = 3,83 dm
                                                         [ Q 1. ]
  
    
       10.  From small to large, we have to ÷
              Number of steps = 2  ⇒  10 X 10
                454 cm = 454 ÷ (10 X 10) m
                             = 4,54 m
                                                         [ Q 1. ]
  
    
       11.  From large to small  ⇒  X
              Number of steps = 1  ⇒  10
                116 cm = 116 X 10 mm
                             = 1 160 mm
                                                         [ Q 1. ]
  
    
       12.  From small to large  ⇒  ÷
              Number of steps = 2  ⇒  10 X 10
                131 cm = 131 ÷ (10 X 10) m
                             = 1,31 m
                                                         [ Q 1. ]
  
    
       13.  m : cm  :    direction  <━━   ⇒  X
              Number of steps = 2  ⇒  10 X 10
                2,365 m = 2,365 X (10 X 10) cm
                              = 236,5 cm
                                                         [ Q 1. ]
  
    
       14.  m : mm  :    direction  <━━   ⇒  X
              Number of steps = 3  ⇒  10 X 10 X 10
                1,873 m = 1,873 X (10 X 10 X 10) mm
                              = 1 873 mm
                                                         [ Q 1. ]
  
    
       15.  direction  ━━>   ⇒  ÷  ;  1 ⇒  10
                21,3 dm = 21,3 ÷ 10 m
                              = 2,13 m
                                                         [ Q 1. ]
  
    
       16.  direction  ━━>   ⇒  ÷  ;  3 ⇒  10X10X10
                800 m = 800 ÷ (10X10X10) km
                              = 0,800 km
                                                         [ Q 1. ]
  
    
       17.  direction  ━━>   ⇒  ÷  ;  3 ⇒  10X10X10
                316 mm = 316 ÷ (10X10X10) m
                              = 0,316 m
                                                         [ Q 1. ]
  
    
       18.  direction  <━━   ⇒  X  ;  2 ⇒  10X10
                1,26 m = 1,26 X (10X10) cm
                              = 126 cm
                                                         [ Q 1. ]
  
    
       20.  0,234 m = 0,234 X (10X10x10) mm
                            = 234 mm
                                                         [ V/Q 1. ]
  
    
       22.  8,173 dm = 8,173 X (10X10) mm
                              = 817,3 mm
                                                         [ V/Q 1. ]
  
    
       24.  1,862 m = 1,862 X 10 dm
                            = 18,62 dm
                                                         [ V/Q 1. ]
  
    
       26.  8,025 m = 8,025 X 10 dm
                            = 80,25 dm
                                                         [ V/Q 1. ]
  
    
       28.  86,42 cm = 8,025 ÷ (10x10) m
                              = 0,8642 m
                                                         [ V/Q 1. ]
  
    
       30.  21,53 km = 21,53 X (1000x10x10x10) mm
                              = 21 530 000 mm
                                                         [ V/Q 1. ]
  
    
       31.  cm2 : mm2  :    direction  <━━   ⇒  X
              Number of steps = 1  ⇒  10
              cm2 = cm X cm
              Therefore we have to do the
              conversion twice.
              so that x cm2 = x X 10 X 10 mm2
                23 cm2 = 23 X (10 X 10) mm2
                            = 2 300 mm2
                                                         [ Q 1. ]
  
    
       32.  cm2 : mm2  :    direction  <━━   ⇒  X
              Number of steps = 1  ⇒  10
              cm2 = cm X cm
              Therefore we have to do the
              conversion twice.
              so that x cm2 = x X 10 X 10 mm2
                24,36 cm2 = 24,36 X (10 X 10) mm2
                                  = 2 436 mm2
                                                         [ Q 1. ]
  
    
       33.  mm2 : cm2  :    direction  ━━>   ⇒  ÷
              Number of steps = 1  ⇒  10
              mm2 = mm X mm
              Therefore we have to do the
              conversion twice.
              so that x mm2 = x ÷ (10 X 10) mm2
                816 mm2 = 816 ÷ (10 X 10) cm2
                                = 8,16 cm2
                                                         [ Q 1. ]
  
    
       35.   31 786 cm2 = 31 786 ÷ (100x100) m2
                                  = 3,1786 m2
                                                         [ V/Q 1. ]
  
    
       37.   2,364 m2 = 2,364 X (1000x1000) mm2
                               = 2 364 000 mm2
                                                         [ V/Q 1. ]
    
       39.   3 178 cm2 = 3 178 ÷ (100x100) m2
                                 = 0,3178 m2
                                                         [ V/Q 1. ]
    
       41.  2,364 m2 = 2,364 X (1000x1000) mm2
                              = 2 364 000 mm2
                                                         [ V/Q 1. ]
    
       43.  3,82 m2 = 3,82 X (100x100) cm2
                            = 38 200 cm2
                                                         [ V/Q 1. ]
    
       45.  2 364 mm2 = 2 364 ÷ (100x100) dm2
                            =  0,2364 dm2
                                                         [ V/Q 1. ]
    
       47.  382 cm2 = 382 ÷ (10x10) mm2
                            =  3,82 mm2
                                                         [ V/Q 1. ]
    
       49.  2,364 m2 = 2,364 X (10x10) dm2
                              =  236,4 dm2
                                                         [ V/Q 1. ]
    
       51.  0,802 m2 = 0,802 X (1000x1000) mm2
                              =  802 000 mm2
                                                         [ V/Q 1. ]
    
       53.  123 871 mm2 = 123 871 ÷ (100x100) dm2
                                     =  12,3871 dm2
                                                         [ V/Q 1. ]
    
       54.  dm3 : cm3  :    direction  <━━   ⇒  X
              Number of steps = 1  ⇒  10
              dm3 = dm X dm X dm
              Therefore we have to do the
              conversion thrice.
              so that x dm3 = x X 10 X 10 X 10 cm3
                213,54 dm3 = 213,54 X (10 X 10 X 10) cm3
                                    = 213 540 cm3
                                                         [ Q 1. ]
  
    
       55.  cm3 : mm3  :    direction  <━━   ⇒  X
              Number of steps = 1  ⇒  10
              cm3 = cm X cm X cm
              Therefore we have to do the
              conversion thrice.
              so that x cm3 = x X 10 X 10 X 10 mm3
                80,2 cm3 = 80,2 X (10 X 10 X 10) mm3
                               = 80 200 mm3
                                                         [ Q 1. ]
  
    
       57.  3,964 m3 = 3,964 X (100x100x100) cm3
                              =  3 964 000 cm3
                                                         [ V/Q 1. ]
    
       59.  1,063 m3 = 1,063 X (100x100x100) cm3
                              =  1 063 000 cm3
                                                         [ V/Q 1. ]
    
       61.  3,964 dm3 = 3,964 X (10x10x10) cm3
                                =  3 964 cm3
                                                         [ V/Q 1. ]
    
       63.  80,2 cm3 = 80,2 ÷ (100x100x100) m3
                             =  0,0000802 m3
                                                         [ V/Q 1. ]
    
       65.  3,964 m3 = 80,2 X (10x10x10) dm3
                             =  3 964 dm3
                                                         [ V/Q 1. ]
    
       67.  650,2 cm3 = 650,2 X (10x10x10) mm3
                                =  650 200 mm3
                                                         [ V/Q 1. ]
    
       69.  3,968 dm3 = 3,968 X (10x10x10) cm3
                                =  3 968 cm3
                                                         [ V/Q 1. ]
    
       71.  80,2 dm3 = 80,2 X (100x100x100) mm3
                              =  80 200 000 mm3
                                                         [ V/Q 1. ]