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Long and Short - Units of Length (cm, m, km)

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Understanding Length: Length is the measurement of how long an object is from one end to the other. Imagine a straight line path between two points; the measurement of that path is the length. It helps us compare which objects are longer or shorter.

Units of Measurement: Depending on the size of the object, we use different units. We use centimeters (cmcm) for small things like a pencil, meters (mm) for bigger things like a room, and kilometers (kmkm) for very long distances like the path between two cities.

The Centimeter (cmcm): A centimeter is a small unit of length. If you look at a 15 cm15\text{ cm} ruler, the distance between the small numbers (like 00 to 11) is 1 cm1\text{ cm}. A standard crayon is about 88 to 10 cm10\text{ cm} long, and the width of your fingernail is roughly 1 cm1\text{ cm}.

The Meter (mm): The meter is the standard unit of length. 1 meter1\text{ meter} is equal to 100 centimeters100\text{ centimeters}. Imagine holding your arms out wide; for a child, that span is close to 1 meter1\text{ meter}. Objects like the height of a classroom door or the length of a bed are measured in meters.

The Kilometer (kmkm): For very long distances, we use kilometers. 1 kilometer1\text{ kilometer} is equal to 1000 meters1000\text{ meters}. To visualize this, think of a very long running track; 1 km1\text{ km} is about the length of 1010 football fields placed end-to-end.

Converting Units: To convert from a larger unit to a smaller unit, we multiply. For example, to change mm to cmcm, we multiply by 100100. To convert from a smaller unit to a larger unit, we divide. If you have a measurement in both meters and centimeters, like 2 m 5 cm2\text{ m } 5\text{ cm}, you convert the meters first and then add the centimeters.

Measuring Tools: We use different tools for different tasks. A short plastic ruler is used for drawing lines in a notebook (cmcm), a measuring tape is used by a tailor to measure cloth (mm), and an odometer in a car measures the distance traveled on a road (kmkm).

📐Formulae

1 m=100 cm1\text{ m} = 100\text{ cm}

1 km=1000 m1\text{ km} = 1000\text{ m}

Value in cm=Value in m×100\text{Value in cm} = \text{Value in m} \times 100

Value in m=Value in km×1000\text{Value in m} = \text{Value in km} \times 1000

Value in m=Value in cm100\text{Value in m} = \frac{\text{Value in cm}}{100}

💡Examples

Problem 1:

Convert 6 m 25 cm6\text{ m } 25\text{ cm} into centimeters.

Solution:

  1. We know that 1 m=100 cm1\text{ m} = 100\text{ cm}.
  2. Multiply the meter value by 100100: 6×100=600 cm6 \times 100 = 600\text{ cm}.
  3. Add the remaining centimeters: 600 cm+25 cm=625 cm600\text{ cm} + 25\text{ cm} = 625\text{ cm}.
  4. Final Answer: 625 cm625\text{ cm}.

Explanation:

To convert a combined unit of meters and centimeters into only centimeters, we first turn the meters into centimeters and then sum it up with the existing centimeter value.

Problem 2:

Rohan ran 2 km 500 m2\text{ km } 500\text{ m} on Monday and 1 km 700 m1\text{ km } 700\text{ m} on Tuesday. What is the total distance Rohan ran in meters?

Solution:

  1. Total distance in kmkm and mm: (2 km 500 m)+(1 km 700 m)(2\text{ km } 500\text{ m}) + (1\text{ km } 700\text{ m}).
  2. Add the kilometers: 2 km+1 km=3 km2\text{ km} + 1\text{ km} = 3\text{ km}.
  3. Add the meters: 500 m+700 m=1200 m500\text{ m} + 700\text{ m} = 1200\text{ m}.
  4. Convert the total kilometers to meters: 3 km=3×1000=3000 m3\text{ km} = 3 \times 1000 = 3000\text{ m}.
  5. Total distance in meters: 3000 m+1200 m=4200 m3000\text{ m} + 1200\text{ m} = 4200\text{ m}.

Explanation:

First, we find the total distance by adding the separate parts. Then, we use the conversion rule 1 km=1000 m1\text{ km} = 1000\text{ m} to change the entire distance into the unit requested (meters).