What is Taking Numbers Apart?

S0-SA1-0305

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

Taking Numbers Apart, also known as decomposition or place value partitioning, means breaking down a number into the value of each of its digits. For example, the number 45 can be taken apart as 40 + 5. It helps us understand the true value of each digit based on its position.

Simple Example

Quick Example

Imagine you have a score of 125 runs in a cricket match. Taking this number apart means understanding that it's 1 'hundred' (100 runs), 2 'tens' (20 runs), and 5 'ones' (5 runs). So, 125 is actually 100 + 20 + 5.

Worked Example

Step-by-Step

Let's take the number 347 and take it apart.

1. Look at the digit in the Hundreds place. It is 3. Its value is 3 x 100 = 300.
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2. Look at the digit in the Tens place. It is 4. Its value is 4 x 10 = 40.
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3. Look at the digit in the Ones place. It is 7. Its value is 7 x 1 = 7.
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4. Now, put these values together using addition. So, 347 = 300 + 40 + 7.

Answer: 347 can be taken apart as 300 + 40 + 7.

Why It Matters

Understanding how to take numbers apart is super important for doing bigger calculations like addition, subtraction, multiplication, and division easily. It's used by architects to plan building sizes, by shopkeepers to calculate change, and even by app developers to manage data, helping them break down complex problems into simpler parts.

Common Mistakes

MISTAKE: Writing 23 as 2 + 3 | CORRECTION: Remember that the '2' in 23 is in the tens place, so its value is 20. The correct way to take it apart is 20 + 3.

MISTAKE: Confusing the digit with its place value (e.g., saying the '5' in 502 has a value of 5) | CORRECTION: Always consider the position of the digit. The '5' in 502 is in the hundreds place, so its value is 500, not just 5.

MISTAKE: Forgetting to include zeros for place values that are zero (e.g., taking 405 apart as 40 + 5) | CORRECTION: Even if a place has a zero, its value is 0. So, 405 should be taken apart as 400 + 0 + 5, or simply 400 + 5.

Practice Questions

Try It Yourself

QUESTION: Take the number 89 apart. | ANSWER: 80 + 9

QUESTION: How would you take the number 563 apart? | ANSWER: 500 + 60 + 3

QUESTION: A mobile phone costs Rs. 7,499. If you take this number apart, what is the value of the digit in the hundreds place? | ANSWER: 400

MCQ

Quick Quiz

Which of the following correctly takes the number 912 apart?

9 + 1 + 2

900 + 10 + 2

90 + 10 + 2

900 + 1 + 2

The Correct Answer Is:

Option B is correct because 9 is in the hundreds place (900), 1 is in the tens place (10), and 2 is in the ones place (2). The other options incorrectly represent the place values.

Real World Connection

In the Real World

When you check your bank balance on a UPI app, say Rs. 15,345, the app 'takes apart' this number to show you the total. Or, when a shopkeeper gives you change for Rs. 500 after you buy something for Rs. 375, they are mentally taking numbers apart to calculate the difference.

Key Vocabulary

Key Terms

PLACE VALUE: The value of a digit based on its position in a number, like ones, tens, hundreds | DECOMPOSITION: The process of breaking down a number into its component parts based on place value | DIGIT: A single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) | PARTITIONING: Another term for taking numbers apart, especially by place value

What's Next

What to Learn Next

Great job understanding how to take numbers apart! Next, you can learn about 'Building Numbers Together' (composition), which is the opposite. This will help you understand how numbers are formed and make calculations even easier!