What is Arranging by Amount?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

Arranging by Amount means putting things in order based on how much of something there is. This can be from the smallest amount to the largest (increasing order) or from the largest amount to the smallest (decreasing order). It helps us compare and understand different quantities easily.

Simple Example

Quick Example

Imagine you have different amounts of pocket money: your brother has ₹50, your sister has ₹100, and you have ₹75. If you arrange these amounts from smallest to largest, it would be ₹50, ₹75, ₹100. This shows who has the least and who has the most.

Worked Example

Step-by-Step

Let's arrange the number of runs scored by different batsmen in a cricket match in decreasing order (highest to lowest):

--- Step 1: List the scores: Virat scored 85 runs, Rohit scored 120 runs, KL Rahul scored 40 runs, and Rishabh scored 65 runs.

--- Step 2: Identify the highest score. The highest score is 120 runs (Rohit).

--- Step 3: Identify the next highest score from the remaining. The next highest is 85 runs (Virat).

--- Step 4: Identify the next highest score. The next highest is 65 runs (Rishabh).

--- Step 5: Identify the lowest score. The lowest is 40 runs (KL Rahul).

--- Step 6: Write them down in decreasing order: 120, 85, 65, 40.

Answer: The runs arranged in decreasing order are 120, 85, 65, 40.

Why It Matters

Arranging by amount is super useful in daily life and many jobs. It helps scientists compare data, helps shopkeepers manage inventory by seeing which items sell more, and even helps financial analysts understand which investments are growing faster. Learning this skill helps you make sense of information quickly.

Common Mistakes

MISTAKE: Confusing increasing order with decreasing order. | CORRECTION: Always check if the question asks for 'smallest to largest' (increasing) or 'largest to smallest' (decreasing) before you start.

MISTAKE: Missing some items or repeating items when arranging. | CORRECTION: After arranging, count the number of items in your original list and your arranged list to make sure they match.

MISTAKE: Not paying attention to units (e.g., mixing grams and kilograms). | CORRECTION: Before arranging, ensure all amounts are in the same unit (e.g., convert everything to grams or everything to kilograms).

Practice Questions

Try It Yourself

QUESTION: Arrange the following number of students in different classes in increasing order: Class 5: 45 students, Class 6: 52 students, Class 7: 40 students, Class 8: 48 students. | ANSWER: 40, 45, 48, 52

QUESTION: A grocery store sold these amounts of rice in a week (in kg): Monday: 150 kg, Tuesday: 180 kg, Wednesday: 120 kg, Thursday: 200 kg, Friday: 170 kg. Arrange these sales in decreasing order. | ANSWER: 200 kg, 180 kg, 170 kg, 150 kg, 120 kg

QUESTION: You have three friends. Rahul has ₹250, Priya has ₹180, and Amit has ₹210. Your mother gives you ₹70 more than Priya has. Arrange all four amounts (Rahul's, Priya's, Amit's, and yours) in increasing order. | ANSWER: ₹180, ₹210, ₹250, ₹250 (Priya: 180, Amit: 210, Rahul: 250, You: 180+70 = 250)

MCQ

Quick Quiz

Which of the following sets is arranged in decreasing order of amount?

10, 20, 30, 40

40, 30, 20, 10

10, 30, 20, 40

20, 40, 10, 30

The Correct Answer Is:

Decreasing order means from largest to smallest. Option B (40, 30, 20, 10) correctly shows numbers getting smaller. The other options are either increasing or not in a consistent order.

Real World Connection

In the Real World

When you check your mobile data usage, you often see a graph showing daily usage. This graph arranges your data consumption by amount (GBs used) over time (days), helping you see on which day you used the most or least data. Similarly, UPI apps often show your transaction history, which you can sort by amount to see your biggest expenses or smallest payments.

Key Vocabulary

Key Terms

INCREASING ORDER: Arranging from smallest to largest amount | DECREASING ORDER: Arranging from largest to smallest amount | AMOUNT: A quantity or measure 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

Once you understand arranging by amount, you can move on to 'Comparing Numbers' or 'Ordering Fractions and Decimals'. These concepts build on the idea of understanding relative amounts and will help you compare more complex numbers and quantities.