Steps to solve 38 - 5 (subtracting without regrouping explained)

➕ Understanding Subtraction Without Regrouping

Subtraction is a fundamental math operation where you take away one number from another. When subtracting without regrouping, each digit in the number you're subtracting from (the minuend) is larger than or equal to the corresponding digit in the number you're subtracting (the subtrahend).

📜 A Brief History

The concept of subtraction dates back to ancient times, with evidence found in early civilizations like the Egyptians and Babylonians. The symbols and methods we use today have evolved over centuries, with contributions from mathematicians across the globe. Subtraction is one of the four basic arithmetic operations and is crucial for everyday problem-solving.

➗ Key Principles of Subtraction Without Regrouping

• 🔢 Place Value: Understanding place value (ones, tens, hundreds, etc.) is crucial. In the number 38, the '3' represents 30 (3 tens) and the '8' represents 8 ones.
• ➖ Column Subtraction: Align the numbers vertically based on their place value. Subtract the ones first, then the tens, and so on.
• ✅ No Borrowing: Since we're subtracting without regrouping, each digit in the top number (minuend) must be greater than or equal to the digit below it (subtrahend).

✍️ Solving 38 - 5 Step-by-Step

Let's break down how to solve 38 - 5:

1. Set up the problem: Write the numbers vertically, aligning the ones place:

   	3	8
   -		5

2. Subtract the ones: Subtract the digits in the ones place: 8 - 5 = 3.

   	3	8
   -		5
   		3

3. Subtract the tens: Since there's no digit in the tens place of the number being subtracted (5), the tens digit of 38 (which is 3) remains unchanged.

   	3	8
   -		5
   	3	3

4. The answer: Combining the tens and ones, we get the result: 33.

💡 Real-World Examples

• 🍎 Sharing Apples: If you have 38 apples and give 5 to a friend, you'll have 33 apples left.
• 🧸 Counting Toys: If a toy store has 38 teddy bears and sells 5, they will have 33 teddy bears remaining.

🔑 Conclusion

Subtracting without regrouping is a straightforward process when you understand place value and align the numbers correctly. By breaking down the problem into smaller steps, you can easily solve subtraction problems without needing to borrow or regroup.