Addition of 3-Digit Numbers without Regrouping (Without Carrying)

Addition of 3-Digit Numbers without Regrouping (Without Carrying)

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We will learn Addition of 3-Digit Numbers without Regrouping.

What is Addition without Regrouping?

Addition without regrouping means adding numbers together without carrying any digit to the next place value.

In this method:

  • Ones are added with ones
  • Tens are added with tens
  • Hundreds are added with hundreds

Since the sum in each column is less than 10, no carrying is needed.

For Example:

246 + 132= 378

Here:

  • 6 + 2 = 8
  • 4 +3 = 7
  • 2 + 1 = 3

No digit is carried to the next column, so this is called addition without regrouping.


Simple Definition for Kids:

Addition without regrouping is adding numbers without carrying over any number to the next place value.

Addition of 3-Digit Numbers without Regrouping (Without Carrying)

We know how to do addition of 3-digit numbers without regrouping. Let us recall it solving some examples.

1. Add 572 and 424.

           H     T     O  

           5     7     2    → 5 hundreds + 7 tens + 2 ones

      +   4     2     4    → 4 hundreds + 2 tens + 4 ones

           9     9     6     9 hundreds + 9 tens + 6 ones

Solved Examples on Addition of 3-Digit Numbers without Regrouping:

A. Addition of Two 3-Digit Numbers:

2. The shopkeeper has 153 packets of chocolate cookies and 124 butter cookies. How many cookies are there in all?

Solution:

To find out the total number of cookies, we will perform addition.

Step 1: First add the ones.

             3 + 4 = 7

Step 2: Next add the tens.

            5 + 2 = 7

Step 3: Then, add the hundreds.

            1 + 1 = 2

Addition of 3-digit Numbers without Regrouping

Thus, there are 277 cookies in the shop.

3. Add 641 and 325.

Solution:

Step 1: Arrange the numbers vertically.

Step 2: First add the ones.

           1 + 5 = 6

Step 3: Now, add the tens.

            4 + 2 = 6

       Lastly, add the hundreds.

            6 + 3 = 9

Addition of Three-digit Numbers without Regrouping

Thus, 641 + 325 = 966

4. Let us add 451 and 246.

Solution:

Write the numbers one below the other.

3-Digit Addition Without Regrouping

Step I: Add the ones.

1 one + 6 ones = 7 ones

Write 7 in the ones place.

Step II: Add the tens.

5 tens + 4 tens = 9 tens

Write 9 in the tens place.

Step III: Add the hundreds.

4 hundreds + 2 hundreds = 6 hundreds

Write 6 in the hundreds place.

The sum is 697.

4. Add 245 and 132.

Step I: Arrange the two numbers in hundreds, tens and ones.

Step II: Add the ones.

Step III: Add the tens.

Step IV: Add the hundreds.

Addition of 3-Digit Numbers Without Carrying
Addition of 3-Digit Numbers Without Carrying
Addition of 3-Digit Numbers Without Carrying

Thus, 245 + 132 = 377

Addition of Three 3-Digit Numbers Without Regrouping:

We will add three 3-digit numbers in the same way as we add two 3-digit numbers.

For examples:

5. Add 542, 234 and 103.

Solution:

Step 1: Arrange the numbers vertically.

Step 2: First add the ones. 2 + 4 + 3 = 9 

Step 3: Now, add the tens. 4 + 3 + 0 = 7

Step 4: Lastly, add the hundreds. 5 + 2 + 1 = 8

Addition Of 3 Digit Numbers Without Regrouping 1

Thus, 542 + 234 + 103 = 879

Word Problems on Addition of 3-Digit Numbers without Regrouping:

6. On the ‘World Environment Day’ class I planted 146 saplings and class II planted 433 saplings. How many saplings did they plant in all?

Solution:

146 + 433 = ?

Step I: Arrange the numbers in columns and add the digits at ones place

Add the Digits at Ones Place

Step II: Add the digits at tens place.

Add the Digits at Tens Place

Step III: Add the digits at hundreds place.

Add the Digits at Hundreds Place

So, they planted 579 saplings in all.

7. There were 136 people in one compartment of train and 122 people in another compartment. How many people in the both compartments?

Solution:

            H     T     O

            1     3     6

     +     1     2     2

            2     5     8

Thus, there were 258 people in all.

Worksheet on Addition of 3-digit Numbers without Regrouping:

I. Add the following:

(i) 452 + 7

(ii) 238 + 61

(iii) 601 + 25

(iv) 758 + 31

(v) 604 + 33

(vi) 576 + 12

(vii) 934 + 40

(viii) 457 + 22

(ix) 460 + 506

(x) 251 + 238

(xi) 261 + 437

(xii) 384 + 112

(xiii) 708 + 191

(xiv) 348 + 321

(xv) 709 + 190

(xvi) 652 + 246

(xvii) 230 + 367

(xviii) 323 + 475

(xix) 832 + 131

(xx) 450 + 238

Answer:

I. (i) 459

(ii) 299

(iii) 626

(iv) 789

(v) 637

(vi) 588

(vii) 974

(viii) 479

(ix) 966

(x) 489

(xi) 698

(xii) 496

(xiii) 899

(xiv) 669

(xv) 899

(xvi) 898

(xvii) 597

(xviii) 798

(xix) 963

(xx) 688

II. Add the following and fill in the blanks:

(i) 503 + 6 = __________ 

(ii) 142 + 7 = __________ 

(iii) 674 + 23 = __________ 

(iv) 256 + 42 = __________ 

(v) 725 + 214 = __________ 

(vi) 345 + 153 = __________ 

(vii) 854 + 144 = __________ 

(viii) 615 + 212 = __________ 

(ix) 600 + 199 = __________ 

Answer:

II. (i) 503 + 6 = __________ 

(ii) 142 + 7 = __________ 

(iii) 674 + 23 = __________ 

(iv) 256 + 42 = __________ 

(v) 725 + 214 = __________ 

(vi) 345 + 153 = __________ 

(vii) 854 + 144 = __________ 

(viii) 615 + 212 = __________ 

(ix) 600 + 199 = __________ 

III. Add the following

(i)        H     T     O  

           1      2     5

       +  2      7     3

       ____________

(ii)        H     T     O  

            3      1     4

        +  4      4     5

        ____________

(iii)        H     T     O  

             4      6     7

         +  2      0     0

         ____________

(iv)        H     T     O  

             3      4     2

         +  2      3     7

         ____________

(v)         H     T     O  

             6      5     3

         +  3      1     4

         ____________

(vi)        H     T     O  

             4      1     2

         +  1      3     2

         +  2      0     1

         ____________

(vii)       H     T     O  

                    1     3

         +  3     3     2

         +  4     3     3

         ___________

(viii)      H     T     O  

                    3     3

         +  5     3     5

         +  1     1     0

         ___________


(ix)        H     T     O  

                           4

         +         4     2

         +  8     3     2

         ___________


(x)        H     T     O  

             3     0     0

         +  1     7     0 

         +  1     2     0

         ___________

(xi)        H     T     O  

                           5

         +         4     2

         +  3     1     0 

         +  5     2     0

         ___________

(xii)        H     T     O  

              3     6     0

         +                5

         +         2     1 

         +  3     0     3

         ___________

(xiii)       H     T     O  

              3     0     2

         +   4     1     2

         +         5     4 

         +  2     3     1

         ___________

(xiv)       H     T     O  

              4     1     3

         +   2     0     2

         +   1     4     2 

         +   1     2     1

         ___________

(xv)       H     T     O  

              1     1     1

         +   2     2     2

         +   2     1     2 

         +   4     2     3

         ___________

Answer:

III. (i) 398

(ii) 759

(iii) 667

(iv) 579

(v) 967

(vi) 745

(vii) 778

(viii) 678

(ix) 878

(x) 590

(xi) 877

(xii) 689

(xiii) 999

(xiv) 878

(xv) 968

IV. Add the following 3-Digit Numbers Without Carrying:

(i)

           H      T     O  

           7      1     4

      +   2      6     3

      ____________

(ii)

           H      T     O  

           3      0     3

      +   2      4     2

      ____________

(iii)

           H      T     O  

           4      3     5

      +   2      2     4

      ____________

(iv)

           H      T     O  

           5      6     1

      +   1      2     5

      ____________

(v)

           H      T     O  

           1      5     2

      +   5      2     6

      ____________

(vi)

           H      T     O  

           8      6     0

      +   1      2     4

      ____________

(vii)

           H      T     O  

           1      1     1

      +   6      2     5

      ____________

(viii)

           H      T     O  

           2      1     3

      +   3      2     4

      ____________

(ix)

           H      T     O  

           7      9     1

      +   2      0     8

      ____________

(x)

           H      T     O  

           5      1     4

      +   3      5     3

      ____________

(xi)

           H      T     O  

           4      0     2

      +   2      8     6

      ____________

(xii)

           H      T     O  

           3      6     4

      +   4      1     3

      ____________

(xiii)

           H      T     O  

           7      0     9

      +   2      7     0

      ____________

(xiv)

           H      T     O  

           2      5     3

      +   5      2     3

      ____________

(xv)

           H      T     O  

           2      4     2

      +   1      2     3

      ____________

(xvi)

           H      T     O  

           3      1     2

      +   5      6     5

      ____________

FAQs on Addition of 3-Digit Numbers without Regrouping

Answer:

Addition without regrouping means adding numbers without carrying any digit to the next place value.

Answer:

Arrange the numbers according to place value and add ones, tens, and hundreds separately.

Answer:

In regrouping, digits are carried over to the next place value. Without regrouping, no carrying is needed.

Answer:

Usually Grade 2 and Grade 3 students learn this topic.

3rd Grade Math Lessons

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