What is The Shortest (Length)?

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Grade Level:

Class 2

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition

What is it?

The shortest length is the measurement that has the smallest value when comparing two or more lengths. It helps us find which object or distance is the smallest among a group. Think of it as finding the 'least' long thing.

Simple Example

Quick Example

Imagine you have three pencils: one is 10 cm long, another is 8 cm long, and the third is 12 cm long. To find the shortest pencil, you compare these numbers. The 8 cm pencil is the shortest because 8 is the smallest number.

Worked Example

Step-by-Step

Let's find the shortest distance among these auto-rickshaw rides: ride A is 5 km, ride B is 3 km, ride C is 7 km, and ride D is 4 km.

Step 1: List all the lengths given: 5 km, 3 km, 7 km, 4 km.

Step 2: Compare the first two lengths: 5 km and 3 km. 3 km is shorter than 5 km.

Step 3: Now compare the shortest so far (3 km) with the next length (7 km). 3 km is shorter than 7 km.

Step 4: Finally, compare the shortest so far (3 km) with the last length (4 km). 3 km is shorter than 4 km.

Step 5: Since 3 km is the smallest value after comparing all of them, it is the shortest distance.

Answer: The shortest distance is 3 km (Ride B).

Why It Matters

Understanding shortest length is crucial in many fields, from planning the fastest route in maps to designing the most compact electronic devices. Engineers use it to build efficient structures, and scientists use it to understand distances at tiny scales. It helps us save time, resources, and space.

Common Mistakes

MISTAKE: Confusing 'shortest' with 'longest'. Students sometimes pick the largest number instead of the smallest. | CORRECTION: Remember 'shortest' means the smallest value, while 'longest' means the largest value. Always look for the smallest number.

MISTAKE: Not comparing all items in a list. Students might stop comparing after finding one short item, without checking all options. | CORRECTION: Make sure to compare every single length given in the problem to find the absolute shortest one.

MISTAKE: Forgetting units of measurement. Sometimes students compare numbers without noticing if units are different (e.g., cm vs m). | CORRECTION: Always check that all lengths are in the same unit (like all in meters or all in centimeters) before comparing. If not, convert them first.

Practice Questions

Try It Yourself

QUESTION: Which is the shortest length: 25 cm, 18 cm, 30 cm? | ANSWER: 18 cm

QUESTION: A tailor has four pieces of fabric: 2 meters, 150 centimeters, 3 meters, and 180 centimeters. Which piece of fabric is the shortest? (Hint: 1 meter = 100 centimeters) | ANSWER: 150 centimeters (or 1.5 meters)

QUESTION: Your friend lives 500 meters away, your school is 1.2 kilometers away, and the market is 850 meters away. Which place is the shortest distance from your home? (Hint: 1 kilometer = 1000 meters) | ANSWER: Your friend's house (500 meters)

MCQ

Quick Quiz

Which of these is the shortest distance?

15 km

12 km

18 km

20 km

The Correct Answer Is:

To find the shortest distance, we look for the smallest number among the options. 12 km is the smallest value compared to 15 km, 18 km, and 20 km.

Real World Connection

In the Real World

When you use a navigation app like Google Maps or Ola Cabs, it calculates the shortest route for you to reach your destination. This saves you time and fuel. Also, city planners use this concept to decide the shortest path for new roads or metro lines to connect places efficiently.

Key Vocabulary

Key Terms

LENGTH: The measurement of how long something is | COMPARE: To look at two or more things to see how they are similar or different | VALUE: The numerical amount of something | UNIT: A standard quantity used for measurement, like centimeter or meter

What's Next

What to Learn Next

Now that you understand shortest length, you can explore 'What is The Longest (Length)?'. This will help you compare lengths even better and understand how to find the largest value among measurements.