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Long and Short - Measuring Length

Grade 4CBSE

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

🔑Concepts

Units of Length: We measure length using different units based on the size of the object. Small objects like a pencil are measured in centimeters (cmcm), larger objects like a classroom wall are measured in meters (mm), and very long distances like the road between two cities are measured in kilometers (kmkm).

Using a Ruler: When measuring with a ruler, always start from the 00 mark, not the edge of the ruler. Imagine a straight line segment where one end touches the 00 mark and the other end aligns with a number on the scale; that number represents the length.

Relationship Between Units: Length units are related to each other by factors of 10,100,10, 100, or 10001000. A meter scale is divided into 100100 equal parts called centimeters. Similarly, a kilometer consists of 10001000 meters.

Converting Units: To convert meters to centimeters, we multiply the value by 100100. To convert kilometers to meters, we multiply by 10001000. For example, a 2 m2\text{ m} long table is 2×100=200 cm2 \times 100 = 200\text{ cm} long.

Visualizing Distance: The shortest distance between two points, like Point A and Point B on a map, is a straight line. If you travel along a curved or zigzag path, the total length will be longer than the straight-line distance.

Comparing Lengths: To compare two different lengths, we must first convert them to the same unit. If a ribbon is 3 m3\text{ m} long and a string is 250 cm250\text{ cm} long, we convert 3 m3\text{ m} to 300 cm300\text{ cm} to see that the ribbon is longer.

Estimation: Estimating helps us guess the approximate length before measuring. For instance, a standard door is about 2 m2\text{ m} high, and a typical Grade 4 student's height is usually between 120 cm120\text{ cm} and 140 cm140\text{ cm}.

📐Formulae

1 m=100 cm1\text{ m} = 100\text{ cm}

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

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

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

💡Examples

Problem 1:

Rohan is 1 m 35 cm1\text{ m } 35\text{ cm} tall. His sister is 20 cm20\text{ cm} taller than him. What is his sister's height in centimeters?

Solution:

Step 1: Convert Rohan's height into centimeters. 1 m 35 cm=(1×100)+35=100+35=135 cm1\text{ m } 35\text{ cm} = (1 \times 100) + 35 = 100 + 35 = 135\text{ cm} Step 2: Add the extra height of the sister. 135 cm+20 cm=155 cm135\text{ cm} + 20\text{ cm} = 155\text{ cm}

Explanation:

First, we convert the mixed units (m and cm) into a single unit (cm) to make addition easier, then we add the difference to find the final height.

Problem 2:

A marathon race is 40 km40\text{ km} long. A runner has already covered 32,500 m32,500\text{ m}. How many more meters does the runner need to finish the race?

Solution:

Step 1: Convert the total race distance from km to m. 40 km=40×1000=40,000 m40\text{ km} = 40 \times 1000 = 40,000\text{ m} Step 2: Subtract the distance covered from the total distance. 40,000 m32,500 m=7,500 m40,000\text{ m} - 32,500\text{ m} = 7,500\text{ m}

Explanation:

To find the remaining distance, both values must be in the same unit. We converted kilometers to meters and then performed subtraction.