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Long and Short - Estimation of Length

Grade 3CBSE

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

🔑Concepts

Length is a measure of how long an object is from one end to the other. Imagine a straight line connecting the two furthest points of an object; that path represents its length.

Non-standard units like handspan, cubit, or pace were used in ancient times. A handspan is the distance from the tip of the thumb to the tip of the little finger when the hand is spread out. However, these are not accurate because everyone's hand size is different.

The Centimeter (cmcm) is a standard unit used for measuring small objects like pencils, erasers, or notebooks. On a standard 15 cm15 \text{ cm} ruler, you will see small marks numbered 00 to 1515; the distance between any two consecutive numbers is 1 cm1 \text{ cm}.

The Meter (mm) is used for measuring longer things like the length of a room, the height of a tree, or the length of a cloth. It is a larger unit than the centimeter, where 1 m1 \text{ m} is exactly the same as 100 cm100 \text{ cm}.

The Kilometer (kmkm) is used to measure very long distances, such as the distance between two cities or the length of a long river. Think of it as 10001000 meter sticks placed end-to-end.

When using a ruler, always align the start of the object with the 00 mark. If you start at the edge of the ruler instead of 00, your measurement will be wrong. The number at which the object ends tells you its length.

Estimation is making a 'smart guess' about the length of an object before measuring it. For example, if you know your finger is about 1 cm1 \text{ cm} wide, you can estimate a book's width by seeing how many fingers fit across it.

Comparing lengths involves looking at two or more objects to see which is 'longer' and which is 'shorter'. If Object A reaches further than Object B when placed side-by-side starting at the same point, Object A is longer.

📐Formulae

1 meter (m)=100 centimeters (cm)1 \text{ meter (m)} = 100 \text{ centimeters (cm)}

1 kilometer (km)=1000 meters (m)1 \text{ kilometer (km)} = 1000 \text{ meters (m)}

Total Length in cm=(Value in m×100)+Remaining cm\text{Total Length in cm} = (\text{Value in m} \times 100) + \text{Remaining cm}

Total Length in m=(Value in km×1000)+Remaining m\text{Total Length in m} = (\text{Value in km} \times 1000) + \text{Remaining m}

💡Examples

Problem 1:

Convert 77 meters into centimeters.

Solution:

Step 1: We know that 1 m=100 cm1 \text{ m} = 100 \text{ cm}. \ Step 2: To convert 7 m7 \text{ m} to cmcm, multiply 77 by 100100. \ Step 3: 7×100=700 cm7 \times 100 = 700 \text{ cm}.

Explanation:

To change a larger unit (meters) to a smaller unit (centimeters), we multiply by the conversion factor of 100100.

Problem 2:

Reena's ribbon is 4 m 25 cm4 \text{ m } 25 \text{ cm} long. What is its total length in centimeters?

Solution:

Step 1: Convert the meter part to centimeters: 4 m=4×100=400 cm4 \text{ m} = 4 \times 100 = 400 \text{ cm}. \ Step 2: Add the remaining centimeters: 400 cm+25 cm=425 cm400 \text{ cm} + 25 \text{ cm} = 425 \text{ cm}. \ Final Answer: The length is 425 cm425 \text{ cm}.

Explanation:

We first convert the whole meters into centimeters and then add the extra centimeters to find the total length in one single unit.