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## Conversion of Measurement Units

From table-1, we understand that Millimeter is the smallest and kilometer is largest units of measurement (most commonly used) and assign 10 units to every level and we get Table - 2:

Now, if, conversion of units involves going up to down (as per above levels) then divide the given number by 10^{number of level going down}

Consider following examples to under this :-

**Example 1 = Covert 5 millimeter into centimeter**

Answer = Since this conversion involved going down by one level (as per table - 2), so the given number will be divided by (10)^{1} and we get

5 millimeter = 5 / 10 centimeter = 0.5 cm

**Example 2 = Covert 150 centimeter into meters.**

Answer = Since this conversion involved going down by two levels (as per table - 2), so the given number will be divided by (10)^{2} and we get

150 centimeter = 150 / (10)2 meter = 150 / 100 m = 1.5 m

**Example 3 = Covert 9432 meters into kilometer**

Answer = Since this conversion involved going down by three levels (as per table - 2), so the given number will be divided by (10)^{3} and we get

9432 meters = 9432 / (10)3 kilometer = 9432 / 1000 km = 9.432 km

And, if, conversion of units involves going down to up (as per above levels) then the given number will be multiplied with 10^{number of level going up}

**Consider following examples to under this :-**

**Example 1 = Covert 5 kilometer into centimeter**

Answer = Since this conversion involved going up by five levels (as per table - 2), so the given number will be multiplied with (10)^{5} and we get

5 kilometer = 5 X 100000 centimeter = 500,000 cm

**Example 2 = Covert 10 decameter into decimeter**

Answer = Since this conversion involved going up by two levels (as per table - 2), so the given number will be multiplied with (10)^{2} and we get

10 decameter = 10 X 100 decimeter = 1000 dm

**Example 3 = Covert 2 meter into millimeter**

Answer = Since this conversion involved going up by three levels (as per table - 2), so the given number will be multiplied with (10)^{3} and we get

2 meter = 2 X 1000 millimeter = 2000 mm

There are numbers of units for measurement of length/distance e.g. centimeter, millimeter, kilometer etc. And many times we got confused how to convert one unit into other.

So lets clear this confusion :

Read Table - 1 :

10 Millimeter (mm) | = | 1 Centimeter (cm) |

10 Centimeter (cm) | = | 1Decimeter (dm) |

10 Decimeter (dm) | = | 1 Meter (m) |

10 Meter (m) | = | 1 Decameter (dam) |

10 Decameter (dam) | = | 1 Hectometer (hm) |

10Hectometer (hm) | = | 1 Kilometer (km) |

From table-1, we understand that Millimeter is the smallest and kilometer is largest units of measurement (most commonly used) and assign 10 units to every level and we get Table - 2:

Units of Measurement(smallest to largest) | Short name | Levels |

Millimeter | mm | 1 |

Centimeter | cm | 2 |

Decimeter | dm | 3 |

Meter | m | 4 |

Decameter | dam | 5 |

Hectometer | hm | 6 |

Kilometer | km | 7 |

Now, if, conversion of units involves going up to down (as per above levels) then divide the given number by 10

Consider following examples to under this :-

Answer = Since this conversion involved going down by one level (as per table - 2), so the given number will be divided by (10)

5 millimeter = 5 / 10 centimeter = 0.5 cm

Answer = Since this conversion involved going down by two levels (as per table - 2), so the given number will be divided by (10)

150 centimeter = 150 / (10)2 meter = 150 / 100 m = 1.5 m

Answer = Since this conversion involved going down by three levels (as per table - 2), so the given number will be divided by (10)

9432 meters = 9432 / (10)3 kilometer = 9432 / 1000 km = 9.432 km

And, if, conversion of units involves going down to up (as per above levels) then the given number will be multiplied with 10

Answer = Since this conversion involved going up by five levels (as per table - 2), so the given number will be multiplied with (10)

5 kilometer = 5 X 100000 centimeter = 500,000 cm

Answer = Since this conversion involved going up by two levels (as per table - 2), so the given number will be multiplied with (10)

10 decameter = 10 X 100 decimeter = 1000 dm

Answer = Since this conversion involved going up by three levels (as per table - 2), so the given number will be multiplied with (10)

2 meter = 2 X 1000 millimeter = 2000 mm