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What is a Separating Word Problem (Subtracting)?
Grade Level:
Class 2
Maths, NLP, AI, Logic
Definition
What is it?
A Separating Word Problem (Subtracting) is a math problem where you start with a total number of things and then some of those things are taken away, lost, or used. To find out how many are left, you need to subtract.
Simple Example
Quick Example
Imagine you have 10 ladoos in a box. Your cousin eats 3 of them. How many ladoos are left in the box? This is a separating problem because ladoos are being taken away from the original total.
Worked Example
Step-by-Step
Rohan had 15 cricket balls. He gave 7 balls to his friend Sameer. How many cricket balls does Rohan have now?
Step 1: Understand the problem. Rohan started with 15 balls.
---Step 2: Identify what is being taken away. He gave away 7 balls.
---Step 3: Decide the operation. Since balls are being taken away, we need to subtract.
---Step 4: Write the number sentence. 15 - 7 = ?
---Step 5: Calculate the answer. 15 - 7 = 8.
---Answer: Rohan has 8 cricket balls now.
Why It Matters
Understanding separating word problems helps you think logically and solve everyday problems. In AI, this logic helps computers process information, like calculating remaining stock in a shop. It's a basic skill for careers in finance, logistics, and even game development.
Common Mistakes
MISTAKE: Adding the numbers instead of subtracting. | CORRECTION: Look for keywords like 'left', 'gave away', 'used', 'how many more', which usually mean subtraction.
MISTAKE: Subtracting the larger number from the smaller number, leading to a negative answer (which is not usually expected in Class 2). | CORRECTION: Always subtract the amount taken away from the original total amount.
MISTAKE: Not reading the question carefully and missing important details. | CORRECTION: Read the problem twice to make sure you understand what information is given and what you need to find.
Practice Questions
Try It Yourself
QUESTION: A bus had 12 passengers. At the next stop, 5 passengers got off. How many passengers are left on the bus? | ANSWER: 7 passengers
QUESTION: Priya had 20 rupees. She bought a packet of biscuits for 8 rupees. How much money does Priya have now? | ANSWER: 12 rupees
QUESTION: There were 25 books on a shelf. 10 books were borrowed by students, and then 3 more books were put back. How many books are on the shelf now? | ANSWER: 18 books
MCQ
Quick Quiz
Which of these is a separating word problem (subtracting)?
Rina has 5 apples and her friend gives her 3 more. How many apples does Rina have?
There are 10 birds on a tree. 4 birds fly away. How many birds are left on the tree?
Suresh bought 2 packets of chips, with 6 chips in each packet. How many chips does he have?
Manoj has 7 blue pens and 3 red pens. How many pens does he have in total?
The Correct Answer Is:
B
Option B describes a situation where some birds 'fly away' from a total, meaning they are separated, so subtraction is needed. The other options involve adding or multiplying.
Real World Connection
In the Real World
When you check your mobile data balance, you start with a total amount, and as you use the internet, data is 'separated' or used up. The remaining data is found by subtracting. Similarly, when a shopkeeper checks how many items are left after selling some, they are doing a separating word problem.
Key Vocabulary
Key Terms
SUBTRACTING: Taking one number away from another to find the difference | REMAINDER: The amount left over after subtraction | TOTAL: The whole amount you start with | WORD PROBLEM: A math problem described in words rather than just numbers
What's Next
What to Learn Next
Next, you can learn about 'Combining Word Problems (Adding)'. This will help you understand when to add and when to subtract, building a strong foundation for solving all kinds of math stories!
