Subtraction

Summary of subtraction

Solved exercise of subtraction

Summary

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.The result of a subtraction is called a difference.Subtraction is signified by the minus sign (-) .

Subtraction of 5-digit numbers without borrowing.

The digits are subtracted in the order of units, tens hundred and thousands.

Example

Subtract 26, 235 from 39, 637

Solution : here write the biggest number in the first row, and the smallest number in the second row i,e

  Ten thThousandHundredsTensUnit
Minuend 39637
Subtrahend26235
Difference=13402

Verification

  Ten thThousandHundredsTensUnit
Difference 13402
Subtrahend+26235
Minuend=39637

Subtraction of 5-digit number with regrouping and borrowing

Subtraction of 5 digit numbers with regrouping or borrowing is the same as that of subtraction of 4 digit numbers by regrouping or borrowing.

Example

Subtract 73,649 from 90,000

  Ten thThousandHundredsTensUnit
Minuend 90000
Subtrahend73649
Difference=16351

After regrouping

 Ten thThousandHundredsTensUnit
After regrouping899910
 90000
73649
=16351

Verification

  Ten thThousandHundredsTensUnit
Difference 16351
Subtrahend+73649
Minuend=00000

Exercise 3.1

I.Find the difference of the following

  1. 59,842  –  34,532
TEN THThHTu
59842
34532
25310

There fore the difference is 25,310

2)86,291    –  64,130

TEN THThHTu
86291
64130
22161

          There fore the difference is 22,161

3)41,297  –  16,025

TEN THThHTu
41297
16025
25272

There fore the difference is 25,272

4) 25,768  –  4304

TEN THThHTu
25768
 4304
21464

There fore the difference is 21,464

5) 17,094  –  3043

TEN THThHTu
17094
 3043
14051

                There fore the difference is 14,051

II. Find the difference of the following

1 ) 42,695  –  20,746

 TEN THThHTu
carry  1 1
 42695
20746
=10849

                       Answer  10,849

2)50,625 – 36,178

 TEN THThHTu
carry    1
 50625
 36178
 13547

                       Answer 13,178

3)40,000 – 16,543

 TEN THThHTu
carry     
 40000
 16543
 23557

                   Answer 23,557

4)25,307 – 6,419

 TEN THThHTu
carry   91
 25307
  6419
 18888

                   Answer 18,888

5)20,000 – 8,625

 TEN THThHTu
carry     
 20000
  8625
 11375

                   Answer 11,375

III. Subtract

1)16,486 from 26,475

 26,475

-16,486

 9,   989


2)36,279 from 52,367

52,367

-36,279

 16,088


3)10,000 from 31,579

 31,579

-10,000

 21,579


4)24,683 from 40,000

 40,000

-24,683

15,317


5)4297 from 11,035

 11,035

– 37,946

53,697


IV. Solve the following problems

1.What should be added to 37, 496 to get 91,643

 92,643

-37,946

 53,697

53,697 should be added


2.What should be subtracted from 67,217 to get 28, 941?

 67,217

-28,941

38,274

38,274 should be subtracted


3)The sum of two numbers is 87,065. If one of the number is 49,726, find the other number.

Let the no be X and another number be Y

Sum of X+Y=87,065

Y=49,726

X?

 87065

-49726

37,339

The another no x =37,339


4)A farmer yielded 38,462 coconuts from his field last year.This year he yielded 47,285 coconuts. Find how many more Coconuts he yielded this year?

A farmer yielded coconuts from his field last year = 38,462
A farmer yielded coconuts from his field this year = 47,285.

47,285

38,462

   8,823


A farmer 8,823 coconuts yielded this year


4)A farmer yielded 38,462 coconuts from his field last year.This year he yielded 47,285 coconuts. Find how many more Cocounts he yielded this year?

5)In an assembly election, Mr. Suresh has got 42,618 votes. Mrs. Rohini got 54,951 votes and won. How many more votes did Mrs. Rohini ge than Mr. Suresh?

In an election, Mr. Suresh got 42,618 votes
Mr. Rohin’s got 54,951 votes

54,951

42,618

12,333

Mr. Rohin’s gets 12,333 votes than Mr. Suresh.


Worked Examples

III. Solve the following problems

1)A factory manufactured 8,534 boxes.Out of the 5421 boxes were sold out. Find the remaining number of boxes.

The total manufactures boxes                                     =8,534

No of boxes sold                                                        –  =5,421

Therefore the total no of boxes remaining =  3,113


2)The total number of students of student of standard five in all the school of taluk is 5,728. If the number of girls is 3,572 find the number of boys in the schools.

The total number of students of std five in all schools is =5,728

The no of girls in schools                                                          –    =3,572

There fore the no of boys in school                                    =2,156

3)Sanjeev has Rs 8,524.He denoted Rs 2,937 to an orphanage charitable trust. How much amount is left with him?

The amount had by Sanjeev is =8,524

The amount denoted by Sanjeev to orphanage =2,937

Therefore the total amount remaining with him= 5,587

Exercise 3.2

1.Solve

54,398+24,897-39,486

 54,398                  79,295

+24.897                -39,496

79.295                   39,809

2)43,618+6,382-29,467

43,618                   50,000

+ 6,382                  -29,467

50,000                   20,533

3)21,679+27,428-2,438

21,679                   49,107

+27,428                – 2438

49,107                   46,669

II.Solve the following problems

1)A mobile phone factory manufactures 23,715 mobiles in November and 34,160 mobiles in December. Out of them 42,534 mobiles were sold. Find how many mobiles are left unsold in the factory.
Answer:
A mobile phone factory manufactures 23,715 mobiles in November
A mobile phone factory manufactures 34,160 mobiles in December
By Adding

23,715

34,160

57,875

In mobile phone 57,875 mobiles were manufactured 42,534 mobile phones were sold out
By Subtracting

57,875

42,534

15,341

15,341 mobiles are left unsold in the factory.

2)Mr. Anand has Rs. 15,282 in his bank account. He deposits Rs. 25,718 on Wednesday. He withdraws Rs. 30,145 on Thursday. Find his balance after withdrawal.
Answer:
Mr. Anand has Rs 15,282 in his bank amount
Mr. Anand deposits Rs 25,718 on Wednesday
Mr. Anand withdraw Rs 30,145 on Thursday

15,285

25,718

41,003

Mr. Anand’s Bank amount – Rs 41,003

41,003

30,145

10,858

After withdrawing Mr.Anand’s bank balance – Rs 10,858

Mrs. Anita has Rs. 50,000 with her. She purchases a color T.V. for Rs. 13,538 and a refrigerator for Rs. 16,990. Find the amount left with her after the purchase.
Answer:
Mrs. Anitha’s Amount – Rs 50,000
Mrs. Anitha purchases a color T.V – Rs 13,538
A refrigerator – Rs 16,990
Total Amount of purchasing By Adding – Rs 30,528

30,538

16,990

30,528

50,000

30,528

19,472

The Amount Rs 19,472 left with Anitha.

60,000 school uniforms are provided for school children of a district. 12,372 and 23,3 uniforms were distributed to schools of two talks of a district. Find how many uniforms are remaining.
Answer:
For a District 60,000 school uniforms provided for children.
12,372 & 23,003 uniforms were distributed to schools of two talk of the district

By Adding

12,372

23,003

35,375

By Subtracting

60,000

35,375

24,625


24,625 uniforms are remaining

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