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Long and Short - Centimeters and Meters

Grade 3CBSE

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

🔑Concepts

Length tells us how long an object is from one end to the other. Imagine a straight line stretching between two points; the measurement of that line is the length.

Centimeter (cmcm) is a small unit of length used for short objects. Look at a standard school ruler; the distance between two big numbers like 00 and 11 is exactly 1 cm1\text{ cm}. We use it to measure things like a pencil, a sharpener, or a finger.

Meter (mm) is a bigger unit of length used for longer objects. 11 meter is exactly equal to 100100 centimeters. Imagine a long tailor's tape or the height of a standard doorknob from the floor to visualize 1 meter1\text{ meter}.

To measure an object using a ruler, you must place one end of the object exactly at the '00' mark. Do not start from the very edge of the ruler, as there is usually a small gap before the '00' mark. The number where the object ends is its length.

Choosing the right unit is important for measurement. For example, the length of a classroom or a saree should be measured in meters (mm), while the length of a notebook or a spoon should be measured in centimeters (cmcm).

Standard units like meters and centimeters are used so that everyone gets the same measurement. Non-standard units like handspans, footsteps, or arm-lengths change from person to person and are not accurate for official work.

Conversion between units helps in comparing lengths. Since 1 m=100 cm1\text{ m} = 100\text{ cm}, a cloth that is 2 m2\text{ m} long is the same as 200 cm200\text{ cm} (100+100100 + 100).

Kilometer (kmkm) is used for very long distances, such as the distance between your home and your school or the distance between two cities. 1 kilometer1\text{ kilometer} is equal to 1000 meters1000\text{ meters}.

📐Formulae

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

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

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

Total Length=Length 1+Length 2\text{Total Length} = \text{Length 1} + \text{Length 2}

💡Examples

Problem 1:

Convert 7 meters7\text{ meters} into centimeters.

Solution:

Step 1: We know the formula 1 m=100 cm1\text{ m} = 100\text{ cm}. \ Step 2: To find the value for 7 m7\text{ m}, we multiply 77 by 100100. \ Step 3: 7×100=7007 \times 100 = 700. \ Therefore, 7 m=700 cm7\text{ m} = 700\text{ cm}.

Explanation:

Since every 11 meter contains 100100 centimeters, we multiply the number of meters by 100100 to get the total centimeters.

Problem 2:

Riya has two ribbons. The blue ribbon is 4 m 45 cm4\text{ m } 45\text{ cm} long and the red ribbon is 2 m 30 cm2\text{ m } 30\text{ cm} long. What is the total length of the ribbons together?

Solution:

Step 1: Arrange the lengths in columns of Meters (mm) and Centimeters (cmcm). \ Step 2: Add the centimeters: 45 cm+30 cm=75 cm45\text{ cm} + 30\text{ cm} = 75\text{ cm}. \ Step 3: Add the meters: 4 m+2 m=6 m4\text{ m} + 2\text{ m} = 6\text{ m}. \ Step 4: Combine the results: 6 m 75 cm6\text{ m } 75\text{ cm}.

Explanation:

To add different units of length, we add the centimeter parts together and the meter parts together separately.