Subtraction without Regrouping

We will learn subtracting 4-digit, 5-digit and 6-digit numbers without regrouping.

We learnt about subtraction of numbers up to 3-digits.

In a subtraction problem, the larger number from which we subtract the other number (the smaller number) is called minuend, the number (the smaller number) which is subtracted is called subtrahend and the result of subtraction is called the difference.

Here, we shall learn subtraction of 4-digit numbers.

Let us have a quick review of what we have learnt about subtraction.

We first arrange the numbers one below the other in place value columns and then subtract the digits under each column as shown in the following examples.

Solved Examples on Subtraction of 4-Digit Numbers without Regrouping:

1. Subtract 3248 from 6589.

Solution:

Step I: Arrange the numbers vertically.

Step II: Subtract ones. 9 – 8 = 1 one. Write 1 in ones column.

Step III: Subtract the tens. 8 – 4 = 4 tens.. Write 4 in tens column.

Step IV: Subtract the hundreds. 5 – 2 = 3 hundreds. Write 3 in hundreds column.

Step V: Subtract the thousands. 6 – 3 = 3 thousands. Write 3 in thousands column.

Subtraction without Regrouping

Thus, 6589 – 3248 = 3341.


2. Subtract 3711 from 9911.

Solution:

Step I: Arrange the numbers vertically.

Step II: Subtract ones. 1 – 1 = 0 one. Write 0 in ones column.

Step III: Subtract the tens. 1 – 1 = 0 tens.. Write 0 in tens column.

Step IV: Subtract the hundreds. 9 – 7 = 2 hundreds. Write 2 in hundreds column.

Step V: Subtract the thousands. 9 – 3 = 6 thousands. Write 6 in thousands column.

4-Digit Subtraction without Regrouping

Thus, 9911 – 3711 = 6200.


3. Subtract 3022 from 9547.

Solution:

Step I: Arrange the numbers in columns.

Th

H

T

O

9

5

4

7

-

3

0

2

2


 

 

 

 

 



Step II: Subtracting ones, we have

Th

H

T

O

9

5

4

7

-

3

0

2

2



 



5



Step III: Subtracting tens, we have

Th

H

T

O

9

5

4

7

-

3

0

2

2



 


2

5



Step IV: Subtracting hundreds, we have

Th

H

T

O

9

5

4

7

-

3

0

2

2



 

5

2

5



Step V: Subtracting thousands, we have

Th

H

T

O

9

5

4

7

-

3

0

2

2



 6

5

2

5


Hence, 9,547 - 3,022 = 6,525

(Six thousand, five hundred twenty-five)


Solved Examples on Subtraction of 5-Digit Numbers without Regrouping:

1. Subtract 54231 from 86954.

Solution:

Step I: Subtract ones. 4 – 1 = 3. Write 3 under ones.

Step II: Subtract tens. 5 – 3 = 2. Write 2 under tens.

Step III: Subtract hundreds. 9 – 2 = 7. Write 7 under hundreds.

Step IV: Subtract thousands. 6 – 4 = 2. Write 2 under thousands.

Step V: Subtract ten thousands. 8 – 5 = 3. Write 3 under ten thousands.


Therefore, the difference is 32723

Subtraction of Check by Addition

Solved Examples on Subtraction of 6-Digit Numbers without Regrouping:

1. Subtract 134108 from 275638

Solution:

Step I: Subtract ones. 8 – 8 = 0. Write 0 under ones.

Step II: Subtract tens. 3 – 0 = 3. Write 3 under tens.

Step III: Subtract hundreds. 6 – 1 = 5. Write 5 under hundreds.

Step IV: Subtract thousands. 5 – 4 = 1. Write 1 under thousands.

Step V: Subtract ten thousands. 7 – 3 = 4. Write 4 under ten thousands.

Step VI: Subtract lakhs. 2 – 1 = 1. Write 1 under lakhs.


Therefore, the difference is 141530

Subtraction of 6-Digit Numbers


Worksheet on Subtraction without Regrouping:

I. Subtract the following:

(i) 2031 from 4351

(ii) 5374 from 6497

(iii) 6699 from 7799

(iv) 4563 from 6683

(v) 1710 from 4810

(vi) 8452 from 8475

(vii) 7233 from 9644

(viii) 2152 from 8597

(ix) 1651 from 3984

(x) 1041 from 2854

(xi) 5006 from 5816


II. Subtract without regrouping or borrowing:

(i)

            Th     H     T     O

             9      8     6     4

        -   7      2      1     0

        ________________

(ii)

            Th     H     T     O

             7      6     2     6

        -   4      3      1     2

        ________________

(iii)

            Th     H     T     O

             8      5     6     9

        -   5      2      2     4

        ________________

(iv)

            Th     H     T     O

             6      6     4     8

        -   2      6      2     4

        ________________

(v)

            Th     H     T     O

             4      8     6     7

        -           3      5     3

        ________________

(vi)

            Th     H     T     O

             6      7     4     6

        -   3      7      2     2

        ________________

(vii)

            Th     H     T     O

             4      9     1     7

        -           6      0     2

        ________________

(viii)

            Th     H     T     O

             8      1     4     9

        -   4       1     0     3

        ________________


III. Arrange in columns and subtract:

(i) 9,284 - 2,003

(ii) 4,321 - 1,210

(iii) 8,492 - 4,281

(iv) 8,379 - 6,054


IV. Find the difference between:

(i) 4,256 and 6,469

(ii) 6,876 and 3,302

(iii) 2,514 and 4,838

(iv) 6,315 and 4,100



V. Subtract without regrouping:

           4  7  8  9  9  4

       -   1  6  8  9  5  4 

       _______________ 


VI. Fill in the blanks:

(i) 875 – 0 = ………………

(ii) 6473 – 1 = ………………

(iii) 7899 – 7899 = ………………

(iv) 9879 – 6729 = ………………


VII. Find the Number:       

    540 less than 45940


VIII. Subtract without regrouping the following. Write the answer in figures:

(i) Two thousand, seven hundred eighty-five - One thousand, five hundred twenty-two

(ii) Eight thousand, six hundred ninety-nine - Six thousand, two hundred thirty-one

(iii) Seven thousand, five - Four thousand, two

(iv) Five thousand, five hundred fifty-nine - Three thousand, two hundred fifty

(v) Seven thousand, nine hundred ninety-nine - Four thousand, two hundred fifty-two

(vi) Three thousand, nine hundred fifty-five - Two thousand, one hundred twenty-five


IX. Given below is the number of people visiting the zoo in a week. Observe the data and answer the following questions:

Days

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Number of People Visiting the Fair

3630

4850

3395

980

6978

8580

4850

(i) On which day there were minimum numbers of visitors?

(ii) On which two days, the number of visitors visiting the ’Zoo’ is same?

(iii) How many more visitors were there on Saturday than Tuesday?

(iv) Which day had more visitors Monday or Wednesday? By how many?


Answers:


I. (i) 2320

(ii) 1123

(iii) 1100

(iv) 2120

(v) 3100

(vi) 23

(vii) 2411

(viii) 6445

(ix) 2333

(x) 1813

(xi) 810


II. (i) 2654

(ii) 3314

(iii) 3345

(iv) 4024

(v) 4514

(vi) 6024

(vii) 4315

(viii) 4091


III. (i) 7812

(ii) 3671

(iii) 3111

(iv) 2325


IV. (i) 2213

(ii) 3574

(iii) 2324

(iv) 2215


V. 310040

VI. (i) 875

(ii) 6472

(iii) 0

(iv) 3150


VII. 45400

VIII. (i) 1263

(ii) 2468

(iii) 3003

(iv) 2309

(v) 3747

(vi) 1830


IX. (i) Thursday

(ii) Tuesday and Sunday

(iii) 3730

(iv) Monday, 235

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