What is Arranging by Number?

S0-SA1-0927

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

Arranging by Number means putting numbers in a specific order, either from smallest to largest or from largest to smallest. It helps us organize and compare different values easily.

Simple Example

Quick Example

Imagine you have marks in different subjects: Maths 85, Science 70, English 90. If you arrange these marks from smallest to largest, it would be Science 70, Maths 85, English 90. This shows which subject you scored least in and most in.

Worked Example

Step-by-Step

Let's arrange the daily sales of chai at a small shop: Monday 120 cups, Tuesday 150 cups, Wednesday 90 cups, Thursday 130 cups.

Step 1: Write down all the numbers: 120, 150, 90, 130.
---Step 2: Find the smallest number among them. The smallest is 90.
---Step 3: Find the next smallest number from the remaining ones (120, 150, 130). The next smallest is 120.
---Step 4: Find the next smallest from the remaining (150, 130). The next smallest is 130.
---Step 5: The last remaining number is 150.
---Step 6: Put them in order from smallest to largest: 90, 120, 130, 150.

Answer: The chai sales arranged from smallest to largest are 90, 120, 130, 150.

Why It Matters

Arranging numbers is a basic skill used everywhere! It helps us understand data, make comparisons, and find patterns. Engineers use it to sort data, financial analysts use it to compare stock prices, and even doctors use it to track patient health over time.

Common Mistakes

MISTAKE: Forgetting to check if the numbers are positive or negative, especially when arranging negative numbers. | CORRECTION: Remember that a negative number closer to zero is larger than a negative number further from zero (e.g., -2 is larger than -5).

MISTAKE: Mixing up ascending and descending order. | CORRECTION: Ascending means going UP (smallest to largest), like climbing stairs. Descending means going DOWN (largest to smallest), like coming down a slide.

MISTAKE: Missing a number or repeating a number when listing them. | CORRECTION: Always count the original set of numbers and make sure your arranged list has the same number of items.

Practice Questions

Try It Yourself

QUESTION: Arrange these auto-rickshaw fares from smallest to largest: 45 rupees, 30 rupees, 60 rupees, 25 rupees. | ANSWER: 25, 30, 45, 60

QUESTION: The temperatures in five Indian cities on a winter morning were: Delhi 10°C, Chennai 25°C, Srinagar 2°C, Mumbai 20°C, Kolkata 15°C. Arrange these temperatures from largest to smallest. | ANSWER: 25, 20, 15, 10, 2

QUESTION: A mobile data plan gives you these daily usages in GB: 1.5, 0.75, 2.0, 1.25, 0.5. Arrange them in ascending order. | ANSWER: 0.5, 0.75, 1.25, 1.5, 2.0

MCQ

Quick Quiz

Which set of numbers is arranged in descending order?

10, 20, 30, 40

50, 40, 30, 20

15, 25, 5, 35

5, 10, 2, 12

The Correct Answer Is:

Descending order means from largest to smallest. Option B (50, 40, 30, 20) correctly shows numbers decreasing in value. Options A, C, and D are either ascending or not in any specific order.

Real World Connection

In the Real World

When you check cricket scores online, the leaderboard showing top batsmen or bowlers is arranged by their runs or wickets, usually from highest to lowest. Similarly, e-commerce apps like Flipkart or Amazon let you sort products by price (low to high or high to low) to help you find the best deals.

Key Vocabulary

Key Terms

ASCENDING ORDER: Arranging numbers from smallest to largest | DESCENDING ORDER: Arranging numbers from largest to smallest | SEQUENCE: A set of numbers following a particular order | COMPARE: To look at two or more numbers 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 learn about 'Place Value' to understand why some numbers are bigger than others, or 'Number Patterns' to see how numbers can follow rules when arranged.