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Convert the following mass units: 450g to Kg, 7 Kg to g, and 5 Kg 500g to g.

Mathematics

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Step-by-step solution

7 steps

Here are the solutions to your conversion problems:

  1. Convert 450g into Kg.
  1. Recall the conversion factor between grams and kilograms.

    We know that 1 Kg=1000 g1 \text{ Kg} = 1000 \text{ g}.

  2. Divide the given mass in grams by 1000 to convert it to kilograms.

    450 g=4501000 Kg450 \text{ g} = \frac{450}{1000} \text{ Kg} 450 g=0.45 Kg450 \text{ g} = 0.45 \text{ Kg}

    The converted value is 0.45 Kg\boxed{\text{0.45 Kg}}.

    1. Convert 7 Kg into g.
  3. Recall the conversion factor between kilograms and grams.

    We know that 1 Kg=1000 g1 \text{ Kg} = 1000 \text{ g}.

  4. Multiply the given mass in kilograms by 1000 to convert it to grams.

    7 Kg=7×1000 g7 \text{ Kg} = 7 \times 1000 \text{ g} 7 Kg=7000 g7 \text{ Kg} = 7000 \text{ g}

    The converted value is 7000 g\boxed{\text{7000 g}}.

    1. Convert 5 Kg and 500g into g.
  5. Recall the conversion factor between kilograms and grams.

    We know that 1 Kg=1000 g1 \text{ Kg} = 1000 \text{ g}.

  6. Convert 5 Kg into grams.

    5 Kg=5×1000 g5 \text{ Kg} = 5 \times 1000 \text{ g} 5 Kg=5000 g5 \text{ Kg} = 5000 \text{ g}
  7. Add the remaining 500g to the converted value.

    5000 g+500 g=5500 g5000 \text{ g} + 500 \text{ g} = 5500 \text{ g}

    The total mass in grams is 5500 g\boxed{\text{5500 g}}.

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