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When subtracting two numbers, borrowing is a technique used to make subtraction possible when a digit in the minuend (the number from which we subtract) is smaller than the corresponding digit in the subtrahend (the number being subtracted). This practice ensures a smooth calculation by adding value to the digit that is smaller. Here, when subtracting the units place in 62 and 37, you realize that 2 is less than 7. Thus, borrowing becomes necessary.

• We borrow 1 from the tens place of 62, which makes 6 become 5.
• The borrowed 1 makes the units place 10 units higher, changing a 2 into a 12.

Now, 12 can easily be subtracted from 7, resulting in 5. Remember, borrowing is simply a way to rearrange values temporarily to make subtraction easier.

Place value is crucial in understanding and performing operations such as subtraction. It refers to the value of a digit depending on its position within a number. Each position in a number indicates a specific place value such as units, tens, hundreds, etc.

In our example:

• The number 62 has a 2 in the units place and a 6 in the tens place.
• The number 37 has a 7 in the units place and a 3 in the tens place.

Aligning these numbers vertically helps in keeping track of corresponding place values during subtraction. This clear arrangement is key to avoiding common mistakes.

Working through subtraction problems step-by-step allows for a systematic and thorough approach to finding the answer. Here’s how it unfolds in this subtraction problem:

1. Align the numbers, making sure digits from similar place values line up. Thus, 62 is directly over 37. 2. Begin with the rightmost column, the units place. Attempt to subtract 7 from 2, identify that borrowing is necessary. 3. Borrow 1 from the tens column. This changes the tens of 62 from 6 to 5, and the units place from 2 to 12. 4. Subtract 7 from 12 to get 5. 5. Move to the tens column, subtract 3 from 5 (what’s left after borrowing) to yield 2.

Combining these results gives the final answer of 25. This structured approach ensures no step is skipped, allowing you to solve subtraction problems accurately.