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What is the Value of a Single Item?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
The 'value of a single item' tells us how much one unit of something is worth. It helps us understand the cost, weight, or quantity associated with just one piece when we know the total for many pieces.
Simple Example
Quick Example
Imagine you bought 5 samosas for ₹50. To find the value of a single samosa, you need to figure out how much just one samosa costs. This concept helps you do exactly that.
Worked Example
Step-by-Step
PROBLEM: A pack of 6 pens costs ₹42. What is the value (cost) of a single pen?
---STEP 1: Identify the total cost and the total number of items. Total cost = ₹42, Total number of pens = 6.
---STEP 2: To find the value of one item, divide the total cost by the total number of items.
---STEP 3: Calculation: Value of a single pen = Total Cost / Number of Pens
---STEP 4: Value of a single pen = ₹42 / 6
---STEP 5: Value of a single pen = ₹7
---ANSWER: The value of a single pen is ₹7.
Why It Matters
Understanding the value of a single item is crucial for everyday calculations, budgeting, and making smart purchasing decisions. It's used by shopkeepers to price items, by engineers to calculate material costs, and by financial analysts to evaluate investments.
Common Mistakes
MISTAKE: Multiplying the total cost by the number of items instead of dividing. | CORRECTION: To find the value of ONE item, you always divide the total cost by the total number of items.
MISTAKE: Confusing the 'value of a single item' with the 'total value'. | CORRECTION: 'Value of a single item' is for one unit, while 'total value' is for all units combined.
MISTAKE: Not ensuring units are consistent (e.g., mixing rupees and paise without conversion). | CORRECTION: Always convert all values to the same unit (e.g., all to rupees or all to paise) before performing calculations.
Practice Questions
Try It Yourself
QUESTION: If 4 kilograms of apples cost ₹200, what is the cost of 1 kilogram of apples? | ANSWER: ₹50
QUESTION: A car travels 180 km in 3 hours. How many kilometers does it travel in 1 hour (average speed)? | ANSWER: 60 km/hour
QUESTION: Meena buys a dozen (12) bananas for ₹72. If she then sells each banana for ₹8, how much profit does she make on one banana? | ANSWER: ₹2 profit per banana (Cost of 1 banana = ₹6, Selling price of 1 banana = ₹8, Profit = ₹8 - ₹6 = ₹2)
MCQ
Quick Quiz
If 10 packets of biscuits cost ₹120, what is the value of a single packet of biscuits?
₹10
₹12
₹120
₹130
The Correct Answer Is:
B
To find the value of a single packet, divide the total cost (₹120) by the number of packets (10). ₹120 / 10 = ₹12. So, option B is correct.
Real World Connection
In the Real World
When you check your mobile data usage, you often see how many GB you've used and the total cost. To find the cost per GB, you'd apply this concept. Similarly, when comparing prices at a supermarket, you'll often calculate the cost per gram or per milliliter to find the best deal.
Key Vocabulary
Key Terms
UNIT: A single, standard quantity or amount. | TOTAL COST: The entire amount of money spent on all items. | PER UNIT: For each single item or quantity. | AVERAGE: A value representing the typical amount.
What's Next
What to Learn Next
Once you understand the value of a single item, you can move on to concepts like 'Unitary Method' and 'Proportions'. These build on this idea to solve more complex problems involving multiple items and different quantities.
