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What is How Many Fewer (Subtraction Context)?
Grade Level:
Class 2
Maths, Data Science, AI
Definition
What is it?
When we ask 'How many fewer?', we want to find the difference between two numbers. It tells us how much smaller one number is compared to another. This is always solved using subtraction.
Simple Example
Quick Example
Imagine your cricket team scored 150 runs, but the other team scored 130 runs. To find 'how many fewer' runs the other team scored, we subtract 130 from 150. The answer tells us the difference in runs.
Worked Example
Step-by-Step
PROBLEM: Riya has 25 colourful bangles. Her sister, Priya, has 18 bangles. How many fewer bangles does Priya have than Riya? --- STEP 1: Understand the question. We need to find the difference between Riya's bangles and Priya's bangles. --- STEP 2: Identify the larger number (Riya's bangles) and the smaller number (Priya's bangles). Riya has 25, Priya has 18. --- STEP 3: To find 'how many fewer', we subtract the smaller number from the larger number. This is 25 - 18. --- STEP 4: Perform the subtraction. 25 - 18 = 7. --- ANSWER: Priya has 7 fewer bangles than Riya.
Why It Matters
Understanding 'how many fewer' helps you compare data, which is vital in Data Science to see trends or differences. In AI, algorithms often compare values to make decisions. Even in finance, calculating differences helps you manage money better.
Common Mistakes
MISTAKE: Adding the numbers instead of subtracting. For example, seeing 'fewer' and thinking it means adding. | CORRECTION: 'How many fewer' always means finding the difference, which requires subtraction.
MISTAKE: Subtracting the larger number from the smaller number, leading to a negative answer or confusion. | CORRECTION: Always subtract the smaller number from the larger number to find a positive difference.
MISTAKE: Not reading the question carefully and mixing up which quantity is being compared to which. | CORRECTION: Clearly identify the two quantities being compared and which one is 'fewer'.
Practice Questions
Try It Yourself
QUESTION: A local shop sold 45 packets of biscuits on Monday and 32 packets on Tuesday. How many fewer packets did they sell on Tuesday? | ANSWER: 13 packets
QUESTION: In a school library, there are 120 Hindi storybooks and 95 English storybooks. How many fewer English storybooks are there? | ANSWER: 25 fewer English storybooks
QUESTION: A bus journey from Mumbai to Pune is 150 km. An auto-rickshaw journey within Mumbai for a specific route is 25 km. How many fewer kilometers is the auto-rickshaw journey compared to the bus journey? | ANSWER: 125 fewer kilometers
MCQ
Quick Quiz
Suresh has 60 marbles and Rohan has 45 marbles. How many fewer marbles does Rohan have than Suresh?
15
105
25
Cannot be determined
The Correct Answer Is:
A
To find 'how many fewer', we subtract the smaller number (45) from the larger number (60). 60 - 45 = 15. So, Rohan has 15 fewer marbles.
Real World Connection
In the Real World
When you compare prices on an e-commerce app like Flipkart or Amazon for two similar phones, you often want to know 'how much cheaper' or 'how many fewer rupees' one phone costs than another. This is exactly what 'how many fewer' helps you figure out in daily shopping decisions.
Key Vocabulary
Key Terms
DIFFERENCE: The result of subtracting one number from another. | SUBTRACTION: The process of taking one number away from another. | COMPARE: To examine two or more things to discover similarities and differences. | QUANTITY: An amount or number of something.
What's Next
What to Learn Next
Now that you understand 'how many fewer', you can explore 'how many more' which is also a comparison using subtraction. Then, you can move on to multi-step word problems involving both addition and subtraction.
