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Addition of 3-Digit numbers without Regrouping

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

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:

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.


Addition of 3-Digit Numbers Without Carrying:

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

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?

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

      ____________

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