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 th | Thousand | Hundreds | Tens | Unit | ||
| Minuend | 3 | 9 | 6 | 3 | 7 | |
| Subtrahend | – | 2 | 6 | 2 | 3 | 5 |
| Difference | = | 1 | 3 | 4 | 0 | 2 |
Verification
| Ten th | Thousand | Hundreds | Tens | Unit | ||
| Difference | 1 | 3 | 4 | 0 | 2 | |
| Subtrahend | + | 2 | 6 | 2 | 3 | 5 |
| Minuend | = | 3 | 9 | 6 | 3 | 7 |
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 th | Thousand | Hundreds | Tens | Unit | ||
| Minuend | 9 | 0 | 0 | 0 | 0 | |
| Subtrahend | – | 7 | 3 | 6 | 4 | 9 |
| Difference | = | 1 | 6 | 3 | 5 | 1 |
After regrouping
| Ten th | Thousand | Hundreds | Tens | Unit | |
| After regrouping | 8 | 9 | 9 | 9 | 10 |
| 9 | 0 | 0 | 0 | 0 | |
| – | 7 | 3 | 6 | 4 | 9 |
| = | 1 | 6 | 3 | 5 | 1 |
Verification
| Ten th | Thousand | Hundreds | Tens | Unit | ||
| Difference | 1 | 6 | 3 | 5 | 1 | |
| Subtrahend | + | 7 | 3 | 6 | 4 | 9 |
| Minuend | = | 0 | 0 | 0 | 0 | 0 |
Exercise 3.1
I.Find the difference of the following
- 59,842 – 34,532
| TEN TH | Th | H | T | u |
| 5 | 9 | 8 | 4 | 2 |
| 3 | 4 | 5 | 3 | 2 |
| 2 | 5 | 3 | 1 | 0 |
There fore the difference is 25,310
2)86,291 – 64,130
| TEN TH | Th | H | T | u |
| 8 | 6 | 2 | 9 | 1 |
| 6 | 4 | 1 | 3 | 0 |
| 2 | 2 | 1 | 6 | 1 |
There fore the difference is 22,161
3)41,297 – 16,025
| TEN TH | Th | H | T | u |
| 4 | 1 | 2 | 9 | 7 |
| 1 | 6 | 0 | 2 | 5 |
| 2 | 5 | 2 | 7 | 2 |
There fore the difference is 25,272
4) 25,768 – 4304
| TEN TH | Th | H | T | u |
| 2 | 5 | 7 | 6 | 8 |
| 4 | 3 | 0 | 4 | |
| 2 | 1 | 4 | 6 | 4 |
There fore the difference is 21,464
5) 17,094 – 3043
| TEN TH | Th | H | T | u |
| 1 | 7 | 0 | 9 | 4 |
| 3 | 0 | 4 | 3 | |
| 1 | 4 | 0 | 5 | 1 |
There fore the difference is 14,051
II. Find the difference of the following
1 ) 42,695 – 20,746
| TEN TH | Th | H | T | u | |
| carry | 1 | 1 | |||
| 4 | 2 | 6 | 9 | 5 | |
| – | 2 | 0 | 7 | 4 | 6 |
| = | 1 | 0 | 8 | 4 | 9 |
Answer 10,849
2)50,625 – 36,178
| TEN TH | Th | H | T | u | |
| carry | 1 | ||||
| 5 | 0 | 6 | 2 | 5 | |
| 3 | 6 | 1 | 7 | 8 | |
| 1 | 3 | 5 | 4 | 7 |
Answer 13,178
3)40,000 – 16,543
| TEN TH | Th | H | T | u | |
| carry | |||||
| 4 | 0 | 0 | 0 | 0 | |
| 1 | 6 | 5 | 4 | 3 | |
| 2 | 3 | 5 | 5 | 7 |
Answer 23,557
4)25,307 – 6,419
| TEN TH | Th | H | T | u | |
| carry | 9 | 1 | |||
| 2 | 5 | 3 | 0 | 7 | |
| 6 | 4 | 1 | 9 | ||
| 1 | 8 | 8 | 8 | 8 |
Answer 18,888
5)20,000 – 8,625
| TEN TH | Th | H | T | u | |
| carry | |||||
| 2 | 0 | 0 | 0 | 0 | |
| 8 | 6 | 2 | 5 | ||
| 1 | 1 | 3 | 7 | 5 |
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
