Subtraction of 3-Digit Numbers using Expanded Form

03 May

Let’s learn how to subtract 3-digit numbers using the expanded form in Grade 2 math. Here, we expand the minuend and the subtrahend, and then subtract each place value, such as hundreds from hundreds, tens from tens and ones from ones. Let's try to solve the following example:

1. Subtract 467 from 879.

Solution:

Here, Minuend = 879 and Subtrahend = 467

Expanded form of 467: 4 hundreds丨6 tens丨7-ones

Expanded form of 879: 8 hundreds丨7 tens丨9-ones

Now, subtract each place value:

8 hundreds-4 hundreds = 4 hundreds

7 tens-6 tens = 1 ten

9-ones-7-ones = 2-ones

Result: 4 hundred丨1 ten丨2-ones = 412

So, 879-467 = 412

2. Subtract 435 from 976.

Solution:

Here, Minuend = 976 and Subtrahend = 435

Expanded form of 435: 4 hundreds丨3 tens丨5-ones

Expanded form of 976: 9 hundreds丨7 tens丨6-ones

Now, subtract each place value:

9 hundreds-4 hundreds = 5 hundreds

7 tens-3 tens = 4 tens

6-ones-5-ones = 1 one

Result: 5 hundred丨4 ten丨1-ones = 541

So, 976-435 = 541

3. Subtract 321 from 759.

Solution:

Here, Minuend = 759 and Subtrahend = 321

Expanded form of 321: 3 hundreds丨2 tens丨1 one

Expanded form of 759: 7 hundreds丨5 tens丨9-ones

Now, subtract each place value:

7 hundreds-3 hundreds = 4 hundreds

5 tens-2 tens = 3 tens

9-ones-1 one = 8-ones

Result: 4 hundred丨3 ten丨8-ones = 438

So, 759-321 = 438

4. Subtract 576 from 899.

Solution:

Here, Minuend = 899 and Subtrahend = 576

Expanded form of 576: 5 hundreds丨7 tens丨6-ones

Expanded form of 899: 8 hundreds丨9 tens丨9-ones

Now, subtract each place value:

8 hundreds-5 hundreds = 3 hundreds

9 tens-7 tens = 2 tens

9-ones-6-ones = 3-ones

Result: 3 hundred丨2 ten丨3-ones = 323

So, 899-576 = 323

5. Subtract 248 from 683.

Solution:

Minuend = 683, Subtrahend = 248

Expanded form of 683: 6 hundreds丨8 tens丨3-ones

Expanded form of 248: 2 hundreds丨4 tens丨8-ones

Regroup: 683

3-ones < 8-ones → borrow 1 ten

= 6 hundreds丨7 tens丨13-ones

Now subtract:

6 hundreds-2 hundreds = 4 hundreds

7 tens-4 tens = 3 tens

13-ones-8-ones = 5-ones

Result: 4 hundred丨3 ten丨5-ones = 435

So, 683-248 = 435

6. Subtract 357 from 724.

Solution:

Minuend = 724, Subtrahend = 357

Expanded form of 724: 7 hundreds丨2 tens丨4-ones

Expanded form of 357: 3 hundreds丨5 tens丨7-ones

Regroup: 724

4-ones < 7-ones → borrow 1 ten

= 7 hundreds丨1 ten丨14-ones

1 ten < 5 tens → borrow 1 hundred

= 6 hundreds丨11 tens丨14-ones

Now subtract:

6 hundreds-3 hundreds = 3 hundreds

11 tens-5 tens = 6 tens

14-ones-7-ones = 7-ones

Result: 3 hundred丨6 ten丨7-ones = 367

So, 724-357 = 367

7. Subtract 489 from 902.

Solution:

Minuend = 902, Subtrahend = 489

Expanded form of 902: 9 hundreds丨0 tens丨2-ones

Expanded form of 489: 4 hundreds丨8 tens丨9-ones

Regroup: 902

2-ones < 9-ones → borrow from tens (but tens = 0)

Borrow 1 hundred → 8 hundreds丨10 tens丨2-ones

Now borrow 1 ten → 8 hundreds丨9 tens丨12-ones

Now subtract:

8 hundreds-4 hundreds = 4 hundreds

9 tens-8 tens = 1 ten

12-ones-9-ones = 3-ones

Result: 4 hundred丨1 ten丨3-ones = 413

So, 902-489 = 413

8. Subtract 268 from 750.

Solution:

Minuend = 750, Subtrahend = 268

Expanded form of 750: 7 hundreds丨5 tens丨0-ones

Expanded form of 268: 2 hundreds丨6 tens丨8-ones

Regroup: 750

0-ones < 8-ones → borrow 1 ten

= 7 hundreds丨4 tens丨10-ones

4 tens < 6 tens → borrow 1 hundred

= 6 hundreds丨14 tens丨10-ones

Now subtract:

6 hundreds-2 hundreds = 4 hundreds

14 tens-6 tens = 8 tens

10-ones-8-ones = 2-ones

Result: 4 hundred丨8 ten丨2-ones = 482

So, 750-268 = 482

Also:

2nd Grade Math A-Z