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Conversion of Units

Arrange the f...

Question

Arrange the following lengths in their increasing magnitude: 1 meter, 1 centimeter, 1 kilometer, and 1 millimeter.

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Solution

Step1: Meter and centimeter
Meter is the SI unit of length.
Centimeter is the CGS unit of length.
Step2: Conversion
We know,
$1 c e n t i m e t e r = 0.01 m e t e r .$
$1 k i l o m e t e r = 10^{3} m e t e r .$
$1 m i l i m e t e r = 10^{- 3} m e t e r .$
Step3: Arranging the lengths
The ascending order of 1 meter, 1 centimeter, 1 kilometer, and 1 millimeter is, $1 m i l i m e t e r < 1 c e n t i m e t e r < 1 m e t e r < 1 k i l o m e t e r .$
Therefore, the order is $1 m i l i m e t e r < 1 c e n t i m e t e r < 1 m e t e r < 1 k i l o m e t e r .$

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Similar questions

$Which of the following is correct ?$
$(I) 1 m i l l i m e t e r = 0.001 m e t e r$
$(I I) 1000 m i l l i m e t e r = 1 m e t e r$
$(I I I) 1 k i l o m e t e r = 1000 m e t e r$

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