Subtraction of 3-digit numbers | Grade 3 | Learning Concepts

# Operations

## 3-Digit Subtraction for Class 3 Maths

Here the student will recall the properties of subtraction and learn about 3-digit subtraction. The subtraction with borrowing and the subtraction without borrowing are explained with examples.

The students will learn to

• Deducting the result of subtraction using addition
• Calculate subtraction of 3- digit subtraction with borrowing or 3- digit subtraction without borrowing.
• Identifying minuend and subtrahend.
• Checking the result of subtraction using addition

The learning concept has explained subtraction to class 3 students with examples, illustrations, and a concept map. At the end of the page, two printable 3- digit subtraction worksheets for class 3 with solutions are attached for the students.

Download the worksheets and solutions to assess our knowledge of the concept.

• Subtraction is an operation used to calculate the difference between two numbers.
• The symbol used to denote subtraction is ‘−‘.
• Subtraction is the process of taking away one number or amount from another.
• The number from which another number is subtracted is called the minuend and the number which is subtracted is called the subtrahend.
• The result is called the difference.
• The subtrahend is always smaller than the minuend.

### Examples:

1. 352 - 153
2. 756 - 545

1. We can subtract 153 from 352 as:

So, 100 + 100 - 1 = 200 - 1 = 199

Hence, 352 - 153 = 199

2. We can subtract 545 from 756 as:

So, 100 + 100 + 10 + 1 = 211

Hence, 756 - 545 = 211

## 3-Digit Subtraction Without Borrowing

• Start subtracting digits from the ones place.
• Subtract the digits at the tens place
• Subtract the digits at the hundreds place

Let us discuss the subtraction of the three-digit number without borrowing by examples.

### Examples:

1. 353 - 151
2. 756 - 545

1. 353-151 =

Hence, 353 - 151 = 202

2. 756 - 545 =

Hence, 756 - 545 = 211

## 3-Digit Subtraction With Borrowing

• Start subtracting digits from the ones place. If the minuend is lesser than the subtrahend then subtraction is not possible. We need to borrow ten from the minuend at tens place and add with the minuend at ones’ place and then do the subtraction.
• Subtract digits at tens place. If the minuend is lesser than the subtrahend then subtraction is not possible. need to borrow ten from the minuend at hundreds place and add with the minuend at ones’ place and then do the subtraction.
• Repeat the process

Let us discuss the subtraction of the three-digit number with borrowing by example.

### Examples:

1. 353 - 154
2. 756 - 548

1. 353 - 154

Hence, 353 - 154 = 199

2. 756 - 548

Hence, 756 - 548 = 208

The result of any subtraction can easily be checked using addition. To check whether the result of the subtraction (difference) is correct or not, one should add the subtrahend with the difference. If the sum results in the minuend, then the subtraction is correct.

Here, some examples are given below.

### Examples:

Find the difference and check by addition:

1. 605 - 263
2. 689 - 354

1. 605 - 263

So, the difference is 342.

Now, to check the result is correct, add the difference with subtrahend and check if the sum is the minuend.

Hence, it is clear that the answer of the subtraction is correct.

2. 689 - 354

So, the difference is 335.

Now, to check the result is correct, add the difference with subtrahend and check if the sum is the minuend.

Hence, it is clear that the answer of the subtraction is correct.

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