Arrange the following lengths in their increasing magnitude:
1 meter, 1 centimeter, 1 kilometer, 1 millimeter.
Answer
623.1k+ views
- Hint: The questions which are based on the order of the greater magnitude can be solved by identifying the smallest magnitude from all and simplifying the given lengths into the simplest magnitude for example 1 centimeter = 10 millimeters use these instructions to find the correct order of increasing magnitudes.
Complete step-by-step solution -
We know that a kilometer is the greatest in magnitude from all the given magnitudes and the meter is the second greatest magnitude but from all the given magnitudes here millimeter is the basic magnitude of all the magnitude so to organize the magnitudes in the increasing magnitudes we will simplify the all the given magnitudes into millimeter.
Let’s simplify the given lengths into millimeter
For 1 cm
$1cm = 10mm$
For 1 m
$1m = 100cm = 100 \times 10m = 1000m$
For 1 km
$1km = 1000m = 1000 \times 1000mm = 1000000mm$
Therefore the arrangement of the given lengths in the order of increasing magnitude will be
1 millimeter < 1 centimeter < 1 meter < 1 kilometer.
Note: Here we arranged the lengths in the increasing order of magnitude but do you know the term magnitude means? The word magnitude can be explained easily because Magnitude usually refers to the volume or distance. For the motion, we can compare magnitude with the object's size and speed when traveling. Or magnitude can be explained as a property that specifies whether an entity is bigger or smaller than a related object. More precisely, the significance of an object is the shown product of ordering (or ranking) of the class of objects it refers to.
Complete step-by-step solution -
We know that a kilometer is the greatest in magnitude from all the given magnitudes and the meter is the second greatest magnitude but from all the given magnitudes here millimeter is the basic magnitude of all the magnitude so to organize the magnitudes in the increasing magnitudes we will simplify the all the given magnitudes into millimeter.
Let’s simplify the given lengths into millimeter
For 1 cm
$1cm = 10mm$
For 1 m
$1m = 100cm = 100 \times 10m = 1000m$
For 1 km
$1km = 1000m = 1000 \times 1000mm = 1000000mm$
Therefore the arrangement of the given lengths in the order of increasing magnitude will be
1 millimeter < 1 centimeter < 1 meter < 1 kilometer.
Note: Here we arranged the lengths in the increasing order of magnitude but do you know the term magnitude means? The word magnitude can be explained easily because Magnitude usually refers to the volume or distance. For the motion, we can compare magnitude with the object's size and speed when traveling. Or magnitude can be explained as a property that specifies whether an entity is bigger or smaller than a related object. More precisely, the significance of an object is the shown product of ordering (or ranking) of the class of objects it refers to.
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