﻿ 3 Digit Subtraction with Borrowing | CREST Olympiads

# 3 Digit Subtraction with Borrowing

## Digit Subtraction with Borrowing - Sub Topics

• 3 Digit Subtraction
• 3 Digit Subtraction with Regrouping
• 3 Digit Subtraction with Borrowing
• The reading material provided on this page for 3 Digit Subtraction with Borrowing is specifically designed for students in grades 1 to 4. So, let's begin!

## 3 Digit Subtraction

Subtraction is a fundamental mathematical operation that involves finding the difference between two numbers. When you perform three-digit subtraction, you are subtracting one three-digit number from another three-digit number.

Example:

To perform the subtraction of three digit number without borrowing, follow these steps:

Step 1: Write down the larger number on top and the smaller number below it.

For example, let's subtract 128 from 479:

Step 2: Start from the ones digit and subtract the corresponding digits.

Subtract 8 from 9: 9 - 8 = 1

Write down the result, 1, below the line.

Step 3: Move to the next digit to the left i.e., tens place and subtract the corresponding digits.

Subtract 2 from 7: 7 – 2 = 5

Write down the result 5, below the line.

Step 4: Finally, subtract the leftmost digit.

Subtract 1 from 4: 4 - 1 = 3

Write down the result, 2, below the line.

Step 5: The result of subtracting 128 from 479 is 351.

Therefore, 479 - 128 = 351

## 3 Digit Subtraction with Regrouping

Subtraction with regrouping, also known as borrowing or carrying, is a method used to subtract two three-digit numbers when the digit in the subtrahend (the number being subtracted) is greater than the corresponding digit in the minuend (the number from which subtraction is taking place).

1. Regrouping is a method used to subtract smaller number from larger number.

2. When subtracting, you can regroup the numbers by converting them into smaller units, such as tens or hundreds.

3. This allows for easier subtraction and helps to avoid borrowing.

Example: 742 - 583

• Regroup the number 742 into 700 + 40 + 2
• Regroup the number 583 into 500 + 80 + 3
• Now, subtract 700 - 500 = 200
• Then subtract 40 - 80 = - 40
• Finally subtract 2 - 3 = -1
• The answer is 200 - 40 - 1 = 159

In conclusion, both methods are used to subtract larger numbers from each other, but borrowing is used when the number in the place value is smaller and regrouping is used to simplify the subtraction process.

## 3 Digit Subtraction with Borrowing

To perform the subtraction of three digits with borrowing, follow these steps:

Step 1: Write down the larger number on top and the smaller number below it.

For example, let's subtract 746 from 983:

Step 2: Start from the rightmost digit and subtract the corresponding digits.

Subtract 6 from 3. Since 3 is smaller than 6, we need to borrow from the next digit. To do this, look at the digit on the left, which is 8. Borrow 1 from 8, which becomes 7, and add it to the 3.

Now subtract 3 + 10 (borrowed) - 6 = 7

Write down the result, 7, below the line.

Step 3: Move to the next digit to the left and subtract the corresponding digits.

Subtract 7 from 4. Since 7 is greater than 4, we don't need to borrow. Simply subtract 7 - 4 = 3

Write down the result, 3, below the line.

Step 4: Finally, subtract the leftmost digit.

Subtract 7 from 9. Since 9 is larger than 7, we don't need to borrow. Simply subtract 9 - 7 = 2.

Write down the result, 2, below the line.

Step 5: The result of subtracting 746 from 983 with borrowing is 237.

Therefore, 983 - 746 = 237.