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What are the abbreviations for: a. millimetre b. centimetre c. metre d. kilometre

Mathematics

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4. What are the abbreviations for:

  • a. millimetre: mm\boxed{\text{mm}}
  • b. centimetre: cm\boxed{\text{cm}}
  • c. metre: m\boxed{\text{m}}
  • d. kilometre: km\boxed{\text{km}}

5. Give examples of objects that you would measure in:

  • a. mm: Thickness of a coin\boxed{\text{Thickness of a coin}}
  • b. cm: Length of a pencil\boxed{\text{Length of a pencil}}
  • c. m: Height of a door\boxed{\text{Height of a door}}
  • d. km: Distance between cities\boxed{\text{Distance between cities}}

6. Compare the following: Remember to state the measurement unit.

  • a. Two pencils of different lengths:
    • Pencil 1: 15 cm15 \text{ cm}
    • Pencil 2: 18 cm18 \text{ cm}
  • b. Two books of different lengths:
    • Book 1: 20 cm20 \text{ cm}
    • Book 2: 25 cm25 \text{ cm}
  • c. Two books of different widths:
    • Book 1: 12 cm12 \text{ cm}
    • Book 2: 15 cm15 \text{ cm}
  • d. The length of a sheet of paper with the length of a sheet of paper that is folded once:
    • Unfolded: 29.7 cm29.7 \text{ cm}
    • Folded once (lengthwise): 29.7 cm29.7 \text{ cm}
  • e. The width of a sheet of paper with the width of a sheet of paper that is folded once:
    • Unfolded: 21 cm21 \text{ cm}
    • Folded once (widthwise): 10.5 cm10.5 \text{ cm}
  • f. The height and width of the door:
    • Height: 2 m2 \text{ m}
    • Width: 0.8 m0.8 \text{ m}
  • g. The length and width of your desk:
    • Length: 120 cm120 \text{ cm}
    • Width: 60 cm60 \text{ cm}
  • h. The length and width of the classroom:
    • Length: 8 m8 \text{ m}
    • Width: 6 m6 \text{ m}
  • i. The length and width of any outside area:
    • Length (garden): 10 m10 \text{ m}
    • Width (garden): 5 m5 \text{ m}

Conversions:

  • a. 1 m 42 cm=142 cm1 \text{ m } 42 \text{ cm} = \boxed{142 \text{ cm}}
  • b. 5 m 24 cm5 \text{ m } 24 \text{ cm}
  1. Convert metres to centimetres.

    $$
    5 \text{ m} = 5 \times 100 \text{ cm} = 500 \text{ cm}
    $$
    
  2. Add the remaining centimetres.

    $$
    500 \text{ cm} + 24 \text{ cm} = \boxed{524 \text{ cm}}
    $$
    
    • c. 4 m 67 cm4 \text{ m } 67 \text{ cm}
  3. Convert metres to centimetres.

    $$
    4 \text{ m} = 4 \times 100 \text{ cm} = 400 \text{ cm}
    $$
    
  4. Add the remaining centimetres.

    $$
    400 \text{ cm} + 67 \text{ cm} = \boxed{467 \text{ cm}}
    $$
    
    • d. 6 m 31 cm6 \text{ m } 31 \text{ cm}
  5. Convert metres to centimetres.

    $$
    6 \text{ m} = 6 \times 100 \text{ cm} = 600 \text{ cm}
    $$
    
  6. Add the remaining centimetres.

    $$
    600 \text{ cm} + 31 \text{ cm} = \boxed{631 \text{ cm}}
    $$
    
    • e. 2 m 13 cm2 \text{ m } 13 \text{ cm}
  7. Convert metres to centimetres.

    $$
    2 \text{ m} = 2 \times 100 \text{ cm} = 200 \text{ cm}
    $$
    
  8. Add the remaining centimetres.

    $$
    200 \text{ cm} + 13 \text{ cm} = \boxed{213 \text{ cm}}
    $$
    
    • f. 7 m 88 cm7 \text{ m } 88 \text{ cm}
  9. Convert metres to centimetres.

    $$
    7 \text{ m} = 7 \times 100 \text{ cm} = 700 \text{ cm}
    $$
    
  10. Add the remaining centimetres.

    $$
    700 \text{ cm} + 88 \text{ cm} = \boxed{788 \text{ cm}}
    $$
    
    • g. 3 m 55 cm3 \text{ m } 55 \text{ cm}
  11. Convert metres to centimetres.

    $$
    3 \text{ m} = 3 \times 100 \text{ cm} = 300 \text{ cm}
    $$
    
  12. Add the remaining centimetres.

    $$
    300 \text{ cm} + 55 \text{ cm} = \boxed{355 \text{ cm}}
    $$
    
    • h. 9 m 76 cm9 \text{ m } 76 \text{ cm}
  13. Convert metres to centimetres.

    $$
    9 \text{ m} = 9 \times 100 \text{ cm} = 900 \text{ cm}
    $$
    
  14. Add the remaining centimetres.

    $$
    900 \text{ cm} + 76 \text{ cm} = \boxed{976 \text{ cm}}
    $$
    
    • i. 8 m 97 cm8 \text{ m } 97 \text{ cm}
  15. Convert metres to centimetres.

    $$
    8 \text{ m} = 8 \times 100 \text{ cm} = 800 \text{ cm}
    $$
    
  16. Add the remaining centimetres.

    $$
    800 \text{ cm} + 97 \text{ cm} = \boxed{897 \text{ cm}}
    $$
    

    Write the following as km.

    • a. 3500 m3500 \text{ m}
  17. Use the conversion factor 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    $$
    3500 \text{ m} = \frac{3500}{1000} \text{ km} = \boxed{3.5 \text{ km}}
    $$
    
    • b. 7500 m7500 \text{ m}
  18. Use the conversion factor 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    $$
    7500 \text{ m} = \frac{7500}{1000} \text{ km} = \boxed{7.5 \text{ km}}
    $$
    
    • c. 8900 m8900 \text{ m}
  19. Use the conversion factor 1 km=1000 m1 \text{ km} = 1000 \text{ m}.

    $$
    8900 \text{ m} = \frac{8900}{1000} \text{ km} = \boxed{8.9 \text{ km}}
    $$
    
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