What is Arranging by Number Quantity?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

Arranging by Number Quantity means putting a group of numbers in a specific order, either from smallest to largest (ascending order) or from largest to smallest (descending order). It helps us make sense of data and compare different values easily.

Simple Example

Quick Example

Imagine your cricket team's scores in five matches: 50, 20, 100, 75, 30. If we arrange these scores from smallest to largest, it would be 20, 30, 50, 75, 100. This shows us quickly which match had the lowest score and which had the highest.

Worked Example

Step-by-Step

Let's arrange the daily prices of a cup of chai from a local shop: Rs 15, Rs 12, Rs 18, Rs 10, Rs 15. We want to arrange them in ascending order (smallest to largest).

1. Look at all the numbers: 15, 12, 18, 10, 15.
---2. Find the smallest number: 10.
---3. Put 10 first: 10.
---4. From the remaining numbers (15, 12, 18, 15), find the next smallest: 12.
---5. Add 12: 10, 12.
---6. From the remaining numbers (15, 18, 15), we have two 15s. Add both: 10, 12, 15, 15.
---7. The last number is 18. Add it: 10, 12, 15, 15, 18.

Answer: The chai prices in ascending order are Rs 10, Rs 12, Rs 15, Rs 15, Rs 18.

Why It Matters

Arranging numbers is a basic skill used everywhere, from understanding your school marks to managing finances. It's crucial for fields like data science, business analysis, and even in daily life to make quick comparisons and decisions.

Common Mistakes

MISTAKE: Forgetting to include duplicate numbers when arranging. For example, arranging 5, 2, 5, 8 as 2, 5, 8. | CORRECTION: Always include all numbers from the original set, even if they are repeated. The correct arrangement would be 2, 5, 5, 8.

MISTAKE: Mixing up ascending and descending order. For example, being asked for descending but giving ascending. | CORRECTION: Always double-check if the question asks for ascending (smallest to largest) or descending (largest to smallest) order before you start.

MISTAKE: Making errors with large numbers or numbers with many digits. For example, confusing 1000 with 100 when arranging. | CORRECTION: Take your time, compare numbers digit by digit starting from the leftmost digit, especially for larger numbers.

Practice Questions

Try It Yourself

QUESTION: Arrange the following number of students in different classes in ascending order: 35, 42, 28, 39. | ANSWER: 28, 35, 39, 42

QUESTION: The number of mobile data (in GB) used by a family over 4 months was: 12, 15, 10, 18. Arrange these in descending order. | ANSWER: 18, 15, 12, 10

QUESTION: Arrange the following distances (in km) an auto-rickshaw travelled on 5 trips: 7.5, 12.0, 6.8, 7.0, 10.2. Arrange them in ascending order. | ANSWER: 6.8, 7.0, 7.5, 10.2, 12.0

MCQ

Quick Quiz

Which of the following sets of numbers is arranged in descending order?

10, 15, 20, 25

30, 25, 20, 15

5, 10, 5, 15

15, 20, 10, 25

The Correct Answer Is:

Descending order means from largest to smallest. Option B (30, 25, 20, 15) correctly shows numbers decreasing in value. Options A, C, and D are not in descending order.

Real World Connection

In the Real World

When you check prices for groceries on apps like BigBasket or Swiggy Instamart, you often see options to 'Sort by Price: Low to High' or 'High to Low'. This is exactly arranging by number quantity! It helps you find the cheapest or most expensive items quickly.

Key Vocabulary

Key Terms

ASCENDING ORDER: Arranging numbers from smallest to largest | DESCENDING ORDER: Arranging numbers from largest to smallest | QUANTITY: The amount or number of something | COMPARE: To look at two or more things to see how they are similar or different

What's Next

What to Learn Next

Great job understanding how to arrange numbers! Next, you can explore 'Comparing Numbers' where you'll learn to use symbols like > (greater than) and < (less than) to show the relationship between two numbers, building on what you've learned here.