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State the number of millimeters:

a) In one meter __1000__ millimeters.
b) In one centimeter __10__ millimeters.

1 Answer

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Final answer:

There are 1000 millimeters in one meter and 10 millimeters in one centimeter. Multiplying by 1000 converts meters to millimeters, while multiplying by 10 converts centimeters to millimeters. These conversions are based on the metric system's use of powers of ten.

Step-by-step explanation:

The number of millimeters in one meter is 1000 millimeters. This is because the prefix 'milli-' means 1/1000, so there are 1000 millimeters in one meter. Similarly, the number of millimeters in one centimeter is 10 millimeters.

To convert meters to millimeters, multiply the number of meters by 1000. Conversely, convert centimeters to millimeters by multiplying the number of centimeters by 10. This is because the metric system is based on powers of ten which allows for simple conversions between units.

Example Conversions:

  • 7.59 × 107 meters: Convert to a smaller unit so that the numerical value is between one and 1000.
  • 0.0074 meters => Can be written as 7.4 millimeters.
  • For other conversions, like kilometers to meters or meters to centimeters, the respective conversion factors are 1000 meters per kilometer and 100 centimeters per meter.

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