We read your photo as:

Convert the given lengths between cm and mm.

Mathematics

ScanSolve AI Answer

Step-by-step solution

50 steps

Here are the conversions for all the problems:

1) Convert the length

  • a) mm in 4.5 cm
  1. Use the conversion factor 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}.

  2. Multiply the given length by the conversion factor.

    $$
    4.5 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 45 \text{ mm}
    $$
    The length is $\boxed{\text{45 mm}}$.
    
    • b) mm in 60 cm
  3. Use the conversion factor 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}.

  4. Multiply the given length by the conversion factor.

    $$
    60 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 600 \text{ mm}
    $$
    The length is $\boxed{\text{600 mm}}$.
    
    • c) cm in 50 mm
  5. Use the conversion factor 1 mm=0.1 cm1 \text{ mm} = 0.1 \text{ cm}.

  6. Multiply the given length by the conversion factor.

    $$
    50 \text{ mm} \times \frac{0.1 \text{ cm}}{1 \text{ mm}} = 5 \text{ cm}
    $$
    The length is $\boxed{\text{5 cm}}$.
    
    • d) cm in 25 mm (Assuming "cm in 25 cm" was a typo and meant "cm in 25 mm")
  7. Use the conversion factor 1 mm=0.1 cm1 \text{ mm} = 0.1 \text{ cm}.

  8. Multiply the given length by the conversion factor.

    $$
    25 \text{ mm} \times \frac{0.1 \text{ cm}}{1 \text{ mm}} = 2.5 \text{ cm}
    $$
    The length is $\boxed{\text{2.5 cm}}$.
    
    • e) mm in 5000 cm
  9. Use the conversion factor 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}.

  10. Multiply the given length by the conversion factor.

    $$
    5000 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 50000 \text{ mm}
    $$
    The length is $\boxed{\text{50000 mm}}$.
    
    • f) mm in 8 km
  11. Use the conversion factors 1 km=1000 m1 \text{ km} = 1000 \text{ m} and 1 m=1000 mm1 \text{ m} = 1000 \text{ mm}.

  12. Convert kilometers to meters, then meters to millimeters.

    $$
    8 \text{ km} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1000 \text{ mm}}{1 \text{ m}} = 8000000 \text{ mm}
    $$
    The length is $\boxed{\text{8000000 mm}}$.
    
    • g) mm in 0.65 km
  13. Use the conversion factors 1 km=1000 m1 \text{ km} = 1000 \text{ m} and 1 m=1000 mm1 \text{ m} = 1000 \text{ mm}.

  14. Convert kilometers to meters, then meters to millimeters.

    $$
    0.65 \text{ km} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1000 \text{ mm}}{1 \text{ m}} = 650000 \text{ mm}
    $$
    The length is $\boxed{\text{650000 mm}}$.
    

    2) Convert the mass

    • a) g in 2 kg
  15. Use the conversion factor 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}.

  16. Multiply the given mass by the conversion factor.

    $$
    2 \text{ kg} \times \frac{1000 \text{ g}}{1 \text{ kg}} = 2000 \text{ g}
    $$
    The mass is $\boxed{\text{2000 g}}$.
    
    • b) kg in 500 g
  17. Use the conversion factor 1 g=0.001 kg1 \text{ g} = 0.001 \text{ kg}.

  18. Multiply the given mass by the conversion factor.

    $$
    500 \text{ g} \times \frac{0.001 \text{ kg}}{1 \text{ g}} = 0.5 \text{ kg}
    $$
    The mass is $\boxed{\text{0.5 kg}}$.
    
    • c) kg in 2 Tonne
  19. Use the conversion factor 1 Tonne=1000 kg1 \text{ Tonne} = 1000 \text{ kg}.

  20. Multiply the given mass by the conversion factor.

    $$
    2 \text{ Tonne} \times \frac{1000 \text{ kg}}{1 \text{ Tonne}} = 2000 \text{ kg}
    $$
    The mass is $\boxed{\text{2000 kg}}$.
    
    • d) Tonne in 500 kg
  21. Use the conversion factor 1 kg=0.001 Tonne1 \text{ kg} = 0.001 \text{ Tonne}.

  22. Multiply the given mass by the conversion factor.

    $$
    500 \text{ kg} \times \frac{0.001 \text{ Tonne}}{1 \text{ kg}} = 0.5 \text{ Tonne}
    $$
    The mass is $\boxed{\text{0.5 Tonne}}$.
    
    • e) g in 0.005 Tonne
  23. Use the conversion factors 1 Tonne=1000 kg1 \text{ Tonne} = 1000 \text{ kg} and 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}.

  24. Convert Tonne to kilograms, then kilograms to grams.

    $$
    0.005 \text{ Tonne} \times \frac{1000 \text{ kg}}{1 \text{ Tonne}} \times \frac{1000 \text{ g}}{1 \text{ kg}} = 5000 \text{ g}
    $$
    The mass is $\boxed{\text{5000 g}}$.
    

    3) Convert the time

    • a) min in 3/4 hrs
  25. Use the conversion factor 1 hr=60 min1 \text{ hr} = 60 \text{ min}.

  26. Multiply the given time by the conversion factor.

    $$
    \frac{3}{4} \text{ hrs} \times \frac{60 \text{ min}}{1 \text{ hr}} = 45 \text{ min}
    $$
    The time is $\boxed{\text{45 min}}$.
    
    • b) min in 5 hrs
  27. Use the conversion factor 1 hr=60 min1 \text{ hr} = 60 \text{ min}.

  28. Multiply the given time by the conversion factor.

    $$
    5 \text{ hrs} \times \frac{60 \text{ min}}{1 \text{ hr}} = 300 \text{ min}
    $$
    The time is $\boxed{\text{300 min}}$.
    
    • c) hrs in 30 min
  29. Use the conversion factor 1 min=160 hr1 \text{ min} = \frac{1}{60} \text{ hr}.

  30. Multiply the given time by the conversion factor.

    $$
    30 \text{ min} \times \frac{1 \text{ hr}}{60 \text{ min}} = 0.5 \text{ hrs}
    $$
    The time is $\boxed{\text{0.5 hrs}}$.
    
    • d) hrs in 1800 min
  31. Use the conversion factor 1 min=160 hr1 \text{ min} = \frac{1}{60} \text{ hr}.

  32. Multiply the given time by the conversion factor.

    $$
    1800 \text{ min} \times \frac{1 \text{ hr}}{60 \text{ min}} = 30 \text{ hrs}
    $$
    The time is $\boxed{\text{30 hrs}}$.
    
    • e) sec in 3 min
  33. Use the conversion factor 1 min=60 sec1 \text{ min} = 60 \text{ sec}.

  34. Multiply the given time by the conversion factor.

    $$
    3 \text{ min} \times \frac{60 \text{ sec}}{1 \text{ min}} = 180 \text{ sec}
    $$
    The time is $\boxed{\text{180 sec}}$.
    
    • f) sec in 0.75 min
  35. Use the conversion factor 1 min=60 sec1 \text{ min} = 60 \text{ sec}.

  36. Multiply the given time by the conversion factor.

    $$
    0.75 \text{ min} \times \frac{60 \text{ sec}}{1 \text{ min}} = 45 \text{ sec}
    $$
    The time is $\boxed{\text{45 sec}}$.
    
    • g) sec in 0.005 hrs
  37. Use the conversion factors 1 hr=60 min1 \text{ hr} = 60 \text{ min} and 1 min=60 sec1 \text{ min} = 60 \text{ sec}.

  38. Convert hours to minutes, then minutes to seconds.

    $$
    0.005 \text{ hrs} \times \frac{60 \text{ min}}{1 \text{ hr}} \times \frac{60 \text{ sec}}{1 \text{ min}} = 18 \text{ sec}
    $$
    The time is $\boxed{\text{18 sec}}$.
    

    4) Convert the capacity

    • a) ml in 6 L
  39. Use the conversion factor 1 L=1000 ml1 \text{ L} = 1000 \text{ ml}.

  40. Multiply the given capacity by the conversion factor.

    $$
    6 \text{ L} \times \frac{1000 \text{ ml}}{1 \text{ L}} = 6000 \text{ ml}
    $$
    The capacity is $\boxed{\text{6000 ml}}$.
    
    • b) ml in 0.25 L
  41. Use the conversion factor 1 L=1000 ml1 \text{ L} = 1000 \text{ ml}.

  42. Multiply the given capacity by the conversion factor.

    $$
    0.25 \text{ L} \times \frac{1000 \text{ ml}}{1 \text{ L}} = 250 \text{ ml}
    $$
    The capacity is $\boxed{\text{250 ml}}$.
    
    • c) L in 300 ml
  43. Use the conversion factor 1 ml=0.001 L1 \text{ ml} = 0.001 \text{ L}.

  44. Multiply the given capacity by the conversion factor.

    $$
    300 \text{ ml} \times \frac{0.001 \text{ L}}{1 \text{ ml}} = 0.3 \text{ L}
    $$
    The capacity is $\boxed{\text{0.3 L}}$.
    
    • d) L in 4000 ml
  45. Use the conversion factor 1 ml=0.001 L1 \text{ ml} = 0.001 \text{ L}.

  46. Multiply the given capacity by the conversion factor.

    $$
    4000 \text{ ml} \times \frac{0.001 \text{ L}}{1 \text{ ml}} = 4 \text{ L}
    $$
    The capacity is $\boxed{\text{4 L}}$.
    
    • e) L in 2 kL
  47. Use the conversion factor 1 kL=1000 L1 \text{ kL} = 1000 \text{ L}.

  48. Multiply the given capacity by the conversion factor.

    $$
    2 \text{ kL} \times \frac{1000 \text{ L}}{1 \text{ kL}} = 2000 \text{ L}
    $$
    The capacity is $\boxed{\text{2000 L}}$.
    
    • f) L in 0.0025 kL
  49. Use the conversion factor 1 kL=1000 L1 \text{ kL} = 1000 \text{ L}.

  50. Multiply the given capacity by the conversion factor.

    $$
    0.0025 \text{ kL} \times \frac{1000 \text{ L}}{1 \text{ kL}} = 2.5 \text{ L}
    $$
    The capacity is $\boxed{\text{2.5 L}}$.
    
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp