Answer :

This question involves converting measurements between different units, a common topic in mathematics. Let's go through each conversion step by step:

  1. 25 mm to cm:

Millimeters can be converted to centimeters by dividing by 10, since 1 centimeter is equal to 10 millimeters.

[tex]25 \text{ mm} = \frac{25}{10} \text{ cm} = 2.5 \text{ cm}[/tex]

  1. 1050 ml to L:

Milliliters can be converted to liters by dividing by 1000, as 1 liter is equal to 1000 milliliters.

[tex]1050 \text{ ml} = \frac{1050}{1000} \text{ L} = 1.05 \text{ L}[/tex]

  1. 7 km 200 m to m and km:

  • For meters, convert kilometers to meters (1 km = 1000 m) and add the meters:

    [tex]7 \text{ km} = 7000 \text{ m}[/tex]

    So:

    [tex]7 \text{ km} 200 \text{ m} = 7000 \text{ m} + 200 \text{ m} = 7200 \text{ m}[/tex]

  • To express this in kilometers:

    [tex]7200 \text{ m} = \frac{7200}{1000} \text{ km} = 7.2 \text{ km}[/tex]

  1. 2450 g to kg:

Grams can be converted to kilograms by dividing by 1000, since 1 kilogram equals 1000 grams.

[tex]2450 \text{ g} = \frac{2450}{1000} \text{ kg} = 2.45 \text{ kg}[/tex]

  1. 3200 m to km:

For meters to kilometers, divide by 1000.

[tex]3200 \text{ m} = \frac{3200}{1000} \text{ km} = 3.2 \text{ km}[/tex]

  1. 67 dm to m:

Decimeters can be converted to meters by dividing by 10, as 1 meter is equal to 10 decimeters.

[tex]67 \text{ dm} = \frac{67}{10} \text{ m} = 6.7 \text{ m}[/tex]

All of these conversions rely on understanding the relationship between the metric units, which is helpful in many real-world situations and scientific contexts.

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Rewritten by : Barada