Relationship between Units of Length



State the Relationship between Units of Length


                     As we can see...
                                                 1 cm = 10 mm
                                                 2 cm = 20 mm




                     As we can see...
                                                 3 m = 300 cm         
                     


                                             
                    Therefore,        1 cm = 10 mm
                                   1 m   = 100 cm

                                     




  • To convert length from a larger unit into a smaller unit, multiply by the relevant power of 10.

  • To convert length from a smaller unit into a larger unit, divide by the relevant power of 10.






Convert Units of Length


Convert millimeters to centimeters

Example 1:
80 mm = _____ cm
80 mm = 80 mm ÷ 10 mm
              = 8 cm

Example 2:
130 mm = _____ cm
130 mm = 130 mm ÷ 10 mm
                = 13 cm



Convert centimeters to millimeters 

Example 1:
55 cm = _____ mm
55 cm = 55  x 10 mm
            = 550 mm

Example 2:
7.8 cm = _____ mm
7.8 cm = 7.8 x 10 mm
             = 78 mm




Convert centimeters to meters 

Example 1:
69 cm = _____ m
69 cm = 69 cm ÷ 100 cm
            = 0.69 m

Example 2:
898 cm = _____ m
898 cm = 898 cm ÷ 100 cm
               = 8.98 m



Convert meters to centimeters

Example 1:
5.2 m = _____ cm
5.2 m = 5.2 x 100 cm
           = 520 cm

Example 2:
7.02 m = _____ cm
7.02 m = 7.02  x 100 cm
              = 702 cm



Convert centimeters and millimeters to millimeters

Example 1:
6 cm 8 mm = _____ mm
6 cm 8 mm = (6 x 10 mm) + 8 mm
                    = 60  mm + 8 mm
                    = 68 mm

Example 2:
23 cm 5 mm = _____ mm
23 cm 5 mm = (23 x 10 mm) + 5 mm
                       = 230  mm + 5 mm
                       = 235 mm



Convert centimeters and millimeters to centimeters

Example 1:
6 cm 8 mm = _____ cm
6 cm 8 mm = 6 cm + (8 mm ÷ 10 mm)
                    = 6 cm + 0.8 cm
                    = 6.8 cm

Example 2:
23 cm 5 mm = _____ cm
23 cm 5 mm = 23 cm + (5 mm ÷ 10 mm)
                       = 23 cm + 0.5 cm
                       = 23.5 cm



Convert meters and centimeters to centimeters

Example 1:
7 m 69 cm = _____ cm
7 m 69 cm = (7 x 100 cm) + 69 cm
                    = 700  cm + 69 cm
                    = 769 cm

Example 2:

30 m 17 cm = _____ cm
30 m 17 cm = (30 x 100 cm) + 17 cm
                     = 3000  cm + 17 cm
                     = 3017 cm



Convert meters and centimeters to meters

Example 1:
7 m 69 cm = _____ m
7 m 69 cm = 7 m + (69 cm ÷ 100 cm)
                    = 7 m + 0.69 m
                    = 7.69 m

Example 2:

30 m 17 cm = _____ m
30 m 17 cm = 30 m + (17 cm ÷ 100 cm)
                    = 30 m + 0.17 m
                    = 30.17 m