Subtraction of 3-Digit Numbers using Expanded Form

Here we will learn subtraction of 3-digit numbers using expanded form.

Express each number in expanded form, then subtract the ones, tens and hundred place.


Let's try to solve the following example:

1. Subtract 356 from 768.

Solution:

First we need to express the number 356 and 768 in expanded form.

Expanded form of 356 

356 = 3 hundreds + 5 tens + 6 ones

and

Expanded form of 768

768 = 7 hundreds + 6 tens + 8 ones


Now we subtract the expanded form:

         768      =     7 hundreds  +  6 tens  +  8 ones

       - 356      = -  3 hundreds  +  5 tens  +  6 ones

    Difference  =    4 hundreds  +  1 ten    +  2 ones   = 412

Therefore, 768 - 356 = 412

2. Subtract 324 from 965.

Solution:

First we need to express the number 324 and 965 in expanded form.

Expanded form of 324 

324 = 3 hundreds + 2 tens + 4 ones

and

Expanded form of 965

965 = 9 hundreds + 6 tens + 5 ones


Now we subtract the expanded form:

         965      =     9 hundreds  +  6 tens  +  5 ones

       - 324      = -  3 hundreds  +  2 tens  +  4 ones

    Difference  =    6 hundreds  +  4 tens   +  1 ones   = 641

Therefore, 965 - 324 = 641


3. Subtract 210 from 649.

Solution:

First we need to express the number 210 and 649 in expanded form.

Expanded form of 210

210 = 2 hundreds + 1 ten + 0 ones

and

Expanded form of 649 

649 = 6 hundreds + 4 tens + 9 ones


Now we subtract the expanded form:

         649      =     6 hundreds  +  4 tens  +  9 ones

       - 210      = -  2 hundreds  +  1 ten    +  0 ones

    Difference  =    4 hundreds  +  3 tens   +  9 ones   = 439

Therefore, 649 - 210 = 439


4. Subtract 465 from 798.

Solution:

First we need to express the number 465 and 798 in expanded form.

Expanded form of 465 

465 = 4 hundreds + 6 tens + 5 ones

and

Expanded form of 798

798 = 7 hundreds + 9 tens + 8 ones


Now we subtract the expanded form:

         798      =     7 hundreds  +  9 tens  +  8 ones

       - 465      = -  4 hundreds  +  6 tens  +  5 ones

    Difference  =    3 hundreds  +  3 tens  +  3 ones   = 333

Therefore, 798 - 465 = 333

You might like these



2nd Grade Math Practice

From Subtraction of 3-Digit Numbers using Expanded Form to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Dec 01, 23 01:16 AM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  2. Days of the Week | 7 Days of the Week | What are the Seven Days?

    Nov 30, 23 10:59 PM

    Days of the Weeks
    We know that, seven days of a week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. A day has 24 hours. There are 52 weeks in a year. Fill in the missing dates and answer the questi…

    Read More

  3. Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical

    Nov 30, 23 01:08 PM

    Types of Lines
    What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…

    Read More