What is a Comparing Word Problem?

S1-SA1-0746

Grade Level:

Class 3

Maths, NLP, AI, Logic, Data Science

Definition

What is it?

A comparing word problem asks us to find the difference between two quantities or to figure out how much more or less one quantity is than another. It helps us see how two things relate to each other in terms of size, number, or value. These problems usually involve keywords like 'more than,' 'less than,' 'how many more,' or 'how much less.'

Simple Example

Quick Example

Imagine your friend Rina scored 85 marks in her Maths test, and you scored 92 marks. A comparing word problem would ask, 'How many more marks did you score than Rina?' Here, we compare your marks with Rina's marks.

Worked Example

Step-by-Step

PROBLEM: Varun has 15 cricket cards. His sister, Priya, has 9 cricket cards. How many more cricket cards does Varun have than Priya?

STEP 1: Identify the two quantities being compared. Varun's cards = 15. Priya's cards = 9.
---STEP 2: Identify the question: 'How many more'. This tells us we need to find the difference.
---STEP 3: To find the difference, we subtract the smaller number from the larger number.
---STEP 4: Calculation: 15 - 9 = 6.
---STEP 5: State the answer clearly. Varun has 6 more cricket cards than Priya.
ANSWER: Varun has 6 more cricket cards.

Why It Matters

Understanding comparing word problems is like building a foundation for solving real-world challenges. In Data Science, you'll compare datasets to find trends, or in AI, you might compare performance metrics of different models. This skill is vital for careers in business analytics, software development, and even sports analysis.

Common Mistakes

MISTAKE: Adding the two numbers instead of subtracting. | CORRECTION: Look for keywords like 'more than,' 'less than,' 'difference,' 'how many more,' or 'how much less' which almost always mean you need to subtract.

MISTAKE: Subtracting the larger number from the smaller number, leading to a negative answer or confusion. | CORRECTION: Always subtract the smaller quantity from the larger quantity to find a positive difference.

MISTAKE: Not reading the question carefully and missing what exactly needs to be compared. | CORRECTION: Underline the two quantities and the specific question asked to ensure you're comparing the correct items.

Practice Questions

Try It Yourself

QUESTION: A bus travelled 120 km in the morning and 95 km in the afternoon. How many more kilometers did it travel in the morning than in the afternoon? | ANSWER: 25 km

QUESTION: Your school library has 250 Hindi storybooks and 185 English storybooks. How many fewer English storybooks are there than Hindi storybooks? | ANSWER: 65 fewer English storybooks

QUESTION: Rohan saved ₹350 from his pocket money, and his sister Siya saved ₹425. They want to buy a game that costs ₹800. How much more money did Siya save than Rohan? After buying the game, how much money will they have left if they combine their savings? | ANSWER: Siya saved ₹75 more. They will have ₹-25 left (meaning they are ₹25 short).

MCQ

Quick Quiz

Which operation is most commonly used to solve a 'how many more' comparing word problem?

Addition

Subtraction

Multiplication

Division

The Correct Answer Is:

Comparing word problems that ask 'how many more' or 'how much less' require finding the difference between two quantities, which is done through subtraction. Addition, multiplication, and division are used for different types of problems.

Real World Connection

In the Real World

When you compare prices of two different mobile phones on an e-commerce app like Flipkart or Amazon to see which one is cheaper, you're doing a comparing word problem! Or when a cricket commentator compares the run rate of two teams to see who needs more runs, they are using this exact skill.

Key Vocabulary

Key Terms

QUANTITY: An amount or number of something | DIFFERENCE: The result of subtracting one number from another | COMPARE: To examine two or more things to find similarities and differences | WORD PROBLEM: A math problem presented in sentences rather than just numbers

What's Next

What to Learn Next

Great job understanding comparing word problems! Next, you can explore 'multi-step word problems' where you'll use more than one operation to solve a problem. This will help you tackle even more complex real-life situations.