Inaugurated by IN-SPACe
ISRO Registered Space Tutor
S0-SA1-1552
What is Arranging by Number Quantity (Ordering)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
Arranging by number quantity, also called ordering, means putting numbers in a specific sequence based on their size. You can arrange them from smallest to largest (ascending order) or from largest to smallest (descending order).
Simple Example
Quick Example
Imagine you have marks in four subjects: Maths (85), Science (70), English (90), and Hindi (75). If you want to arrange these marks from lowest to highest, you would get: 70 (Science), 75 (Hindi), 85 (Maths), 90 (English).
Worked Example
Step-by-Step
Let's arrange the daily sales of samosas from a chai shop in ascending order: 35, 28, 42, 30, 25.
1. Identify all the numbers: 35, 28, 42, 30, 25.
---
2. Find the smallest number among them. The smallest number is 25.
---
3. Find the next smallest number from the remaining numbers (35, 28, 42, 30). The next smallest is 28.
---
4. Continue this process. From (35, 42, 30), the next smallest is 30.
---
5. From (35, 42), the next smallest is 35.
---
6. The last remaining number is 42, which is the largest.
---
Answer: The samosa sales arranged in ascending order are: 25, 28, 30, 35, 42.
Why It Matters
Understanding how to arrange numbers is super important in maths and everyday life. It helps you compare things, make decisions, and see patterns. Careers like data analysis, finance, and even managing a shop use ordering to understand information better.
Common Mistakes
MISTAKE: Confusing ascending and descending order. | CORRECTION: Remember 'Ascending' means 'climbing up' (smallest to largest), and 'Descending' means 'coming down' (largest to smallest).
MISTAKE: Missing a number or repeating a number when ordering. | CORRECTION: Always count the original numbers and the numbers in your arranged list to make sure they match.
MISTAKE: Incorrectly comparing numbers with different digits (e.g., thinking 99 is larger than 100). | CORRECTION: Always start comparing from the leftmost digit. If numbers have different numbers of digits, the one with more digits is usually larger (e.g., 100 has 3 digits, 99 has 2 digits, so 100 > 99).
Practice Questions
Try It Yourself
QUESTION: Arrange these prices of vegetables in ascending order: Rs 20, Rs 55, Rs 15, Rs 30. | ANSWER: Rs 15, Rs 20, Rs 30, Rs 55
QUESTION: A delivery rider completed these number of deliveries over 5 days: 18, 25, 12, 21, 15. Arrange them in descending order. | ANSWER: 25, 21, 18, 15, 12
QUESTION: The number of likes on five different Instagram posts are: 1025, 980, 1150, 999, 1050. Arrange them in ascending order. | ANSWER: 980, 999, 1025, 1050, 1150
MCQ
Quick Quiz
Which of these sets of numbers is arranged in descending order?
10, 20, 30, 40
55, 45, 35, 25
5, 15, 10, 20
100, 90, 95, 80
The Correct Answer Is:
B
Descending order means from largest to smallest. Option B (55, 45, 35, 25) correctly shows numbers decreasing in value. The other options either show ascending order or are not correctly ordered.
Real World Connection
In the Real World
When you check your mobile data usage, it often shows your daily or monthly usage in descending order to highlight the highest consumption days. Similarly, e-commerce websites like Flipkart or Amazon let you sort products by 'Price: Low to High' or 'Price: High to Low' to help you find what you need 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 check how numbers are similar or different in size
What's Next
What to Learn Next
Now that you know how to order numbers, you can explore comparing numbers using symbols like < (less than), > (greater than), and = (equal to). This will help you understand number relationships even better!
