What is the Same Number?

S0-SA1-0363

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

The 'same number' refers to two or more numbers that have exactly the same value. When we say two numbers are the same, it means they represent an identical quantity or amount.

Simple Example

Quick Example

Imagine you have two friends, Rohan and Priya. Rohan scored 85 marks in his Maths test. Priya also scored 85 marks in her Maths test. Here, the marks scored by Rohan and Priya are the same number (85).

Worked Example

Step-by-Step

PROBLEM: Identify the same numbers from the following list: 15, 20, 15, 30, 25, 20.

STEP 1: Look at the first number in the list, which is 15.
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STEP 2: Scan the rest of the list to see if 15 appears again. Yes, 15 appears again.
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STEP 3: So, we have a pair of same numbers: 15 and 15.
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STEP 4: Now, look at the next unique number, which is 20.
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STEP 5: Scan the rest of the list for 20. Yes, 20 appears again.
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STEP 6: So, we have another pair of same numbers: 20 and 20.
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STEP 7: The remaining numbers are 30 and 25. They are not the same as each other, nor do they appear again in the list.
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ANSWER: The same numbers in the list are 15 and 20 (each appearing twice).

Why It Matters

Understanding 'same number' is fundamental to all of mathematics, from basic counting to advanced algebra. It helps us compare quantities and ensure fairness. This concept is vital for careers in finance (balancing accounts), data analysis (finding duplicate entries), and even game development (matching scores).

Common Mistakes

MISTAKE: Confusing 'same number' with 'similar looking numbers' (e.g., thinking 6 and 9 are the same because they use similar digits). | CORRECTION: Focus strictly on the value or quantity represented. 6 represents six items, 9 represents nine items; they are different values.

MISTAKE: Not checking all numbers in a list, leading to missing a pair of same numbers. | CORRECTION: Systematically check each number against every other number, or use a method like sorting to group identical values together.

MISTAKE: Believing 'same number' only applies to single digits. | CORRECTION: The concept applies to any number, whether it's 7, 70, 700, or 7000. If their value is identical, they are the same number.

Practice Questions

Try It Yourself

QUESTION: Which number is the same as 45 in the list: 40, 54, 45, 50? | ANSWER: 45

QUESTION: Your mobile data plan gives you 2 GB per day. If you check your data usage at 1 PM and it shows '1 GB remaining', and then you check again at 3 PM and it still shows '1 GB remaining', what can you say about the data remaining at 1 PM and 3 PM? | ANSWER: The amount of data remaining at 1 PM and 3 PM is the same number (1 GB).

QUESTION: A vegetable vendor has three baskets of tomatoes. Basket A has 2.5 kg, Basket B has 2500 grams, and Basket C has 25 kg. Which baskets have the same amount of tomatoes? (Hint: 1 kg = 1000 grams) | ANSWER: Basket A (2.5 kg) and Basket B (2500 grams, which is 2.5 kg) have the same amount of tomatoes.

MCQ

Quick Quiz

Which of these pairs represents the same number?

5 and five

10 and 01

12 and 21

7 and seven

The Correct Answer Is:

Option A (5 and five) and Option D (7 and seven) both represent the same numerical value, just in different forms (numeral vs. word). However, as per standard mathematical representation, '5' and 'five' are recognized as the same value. '10' and '01' are different values (ten vs. one), and '12' and '21' are also different values (twelve vs. twenty-one).

Real World Connection

In the Real World

When you use a UPI app to send money, the app double-checks the amount you entered against the amount it's about to transfer. If you typed '500' and the system detects it as '500', it confirms they are the same number before processing the payment, ensuring you send the correct amount and avoid mistakes.

Key Vocabulary

Key Terms

VALUE: The quantity or amount a number represents. | IDENTICAL: Exactly the same. | QUANTITY: How much of something there is. | COMPARE: To check how two or more things are similar or different.

What's Next

What to Learn Next

Now that you understand what 'the same number' means, you're ready to learn about 'Comparing Numbers'. This next concept will teach you how to tell if one number is greater than or less than another, building directly on your understanding of equality.