Download Class 4 Mathematics Concept Summaries: CBSE Class 4 Mathematics Subtraction of 5-Digit and 6-Digit Numbers Notes with Questions Set 05
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Terms used in subtraction
| Term | Meaning | In 87,596 - 42,365 = 45,231 |
|---|---|---|
| Minuend | The number from which we subtract | 87,596 |
| Subtrahend | The number that is subtracted | 42,365 |
| Difference | The result of subtraction | 45,231 |
Properties of subtraction
| Property | Example |
|---|---|
| Subtracting 0 gives the same number | 25 - 0 = 25 |
| A number minus itself is 0 | 230 - 230 = 0 |
| The order cannot be changed | 76 - 55 is not equal to 55 - 76 |
Solved examples
1. Subtract 42,365 from 87,596.
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Answer: 87,596 - 42,365 = 45,231. No borrowing is needed.
Teacher's Note: Write the subtrahend under the minuend and subtract column by column.
2. Subtract 38,967 from 56,423.
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Answer: 56,423 - 38,967 = 17,456. Ones: borrow 1 ten, 13 - 7 = 6. Tens: borrow 1 hundred, 11 - 6 = 5. Hundreds: borrow 1 thousand, 13 - 9 = 4. Thousands: borrow 1 ten thousand, 15 - 8 = 7. Ten thousands: 4 - 3 = 1.
Teacher's Note: Borrow 1 from the next column when the top digit is smaller; it becomes 10 in the column on the right.
3. What number is 1,097 less than 13,004?
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Answer: 13,004 - 1,097 = 11,907
Teacher's Note: 'Less than' means subtract.
4. What number should be added to 16,877 to get 20,014?
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Answer: 20,014 - 16,877 = 3,137
Teacher's Note: The missing number is the difference of the two numbers.
5. What number should be subtracted from 32,050 to get 3,675?
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Answer: 32,050 - 3,675 = 28,375
Teacher's Note: Subtract the answer from the starting number.
6. The sum of two numbers is 90,514. One number is 48,726. Find the other.
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Answer: 90,514 - 48,726 = 41,788
Teacher's Note: Other number = sum - known number.
7. The population of a city is 362,105. There are 146,368 men and 127,858 women. The rest are children. How many children are there?
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Answer: Men and women = 274,226. Children = 362,105 - 274,226 = 87,879
Teacher's Note: First add men and women, then subtract from the total.
Fill in the blanks
8. Fill in the blank: 60,500 - 1
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Answer: 60,499
Teacher's Note: Work it out step by step in the place value chart.
9. Fill in the blank: 80 hundreds + 60 tens
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Answer: 8,600
Teacher's Note: Work it out step by step in the place value chart.
10. Fill in the blank: When minuend = subtrahend, the difference is
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Answer: 0
Teacher's Note: Work it out step by step in the place value chart.
11. Fill in the blank: 1 lakh - 100 hundreds
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Answer: 90,000
Teacher's Note: Work it out step by step in the place value chart.
12. Fill in the blank: 800 more than 16,850
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Answer: 17,650
Teacher's Note: Work it out step by step in the place value chart.
13. Fill in the blank: 85 - 25 = 45 + ______
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Answer: 15
Teacher's Note: Work it out step by step in the place value chart.
14. Fill in the blank: 50,000 + 267 + ______ = 81,267
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Answer: 31,000
Teacher's Note: Work it out step by step in the place value chart.
15. Fill in the blank: 91,483 + 2,639 + 1,968 + 6,596
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Answer: 102,686
Teacher's Note: Work it out step by step in the place value chart.
16. Fill in the blank: 100 more than 99,990
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Answer: 100,090
Teacher's Note: Work it out step by step in the place value chart.
17. Fill in the blank: Four hundreds + fourteen tens
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Answer: 540
Teacher's Note: Work it out step by step in the place value chart.
True or false
18. True or false: The sum is always greater than each of the addends.
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Answer: True (except when an addend is 0, when the sum equals the other addend)
Teacher's Note: Recall the properties of addition and subtraction.
19. True or false: The minuend is always less than the subtrahend.
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Answer: False. The minuend is the larger number.
Teacher's Note: Recall the properties of addition and subtraction.
20. True or false: We can change the order of addends.
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Answer: True
Teacher's Note: Recall the properties of addition and subtraction.
21. True or false: We can change the order of minuend and subtrahend.
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Answer: False
Teacher's Note: Recall the properties of addition and subtraction.
22. True or false: The sum of a number and 1 is the number itself.
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Answer: False. The sum of a number and 0 is the number itself.
Teacher's Note: Recall the properties of addition and subtraction.
Find the difference
23. Find the difference: 86,491 - 52,160
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Answer: 86,491 - 52,160 = 34,331
Teacher's Note: Check: difference + subtrahend = minuend.
24. Find the difference: 53,268 - 37,169
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Answer: 53,268 - 37,169 = 16,099
Teacher's Note: Check: difference + subtrahend = minuend.
25. Find the difference: 20,000 - 6,956
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Answer: 20,000 - 6,956 = 13,044
Teacher's Note: Check: difference + subtrahend = minuend.
26. Find the difference: 231,207 - 8,989
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Answer: 231,207 - 8,989 = 222,218
Teacher's Note: Check: difference + subtrahend = minuend.
27. Find the difference: 20,400 - 8,726
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Answer: 20,400 - 8,726 = 11,674
Teacher's Note: Check: difference + subtrahend = minuend.
28. Find the difference: 162,903 - 78,864
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Answer: 162,903 - 78,864 = 84,039
Teacher's Note: Check: difference + subtrahend = minuend.
Write in columns and find the difference
29. Minuend = 37,486 and subtrahend = 21,032
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Answer: 37,486 - 21,032 = 16,454
Teacher's Note: Write the numbers in columns and subtract from the right.
30. 20,616 - 504
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Answer: 20,616 - 504 = 20,112
Teacher's Note: Write the numbers in columns and subtract from the right.
31. 123,405 - 69,547
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Answer: 123,405 - 69,547 = 53,858
Teacher's Note: Write the numbers in columns and subtract from the right.
32. Subtract 98,567 from 111,111.
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Answer: 111,111 - 98,567 = 12,544
Teacher's Note: Write the numbers in columns and subtract from the right.
33. Find the difference between 211,302 and 52,413.
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Answer: 211,302 - 52,413 = 158,889
Teacher's Note: Write the numbers in columns and subtract from the right.
34. Subtract 195,876 from the sum of 138,674 and 96,578.
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Answer: Sum = 235,252; 235,252 - 195,876 = 39,376
Teacher's Note: Write the numbers in columns and subtract from the right.
35. Subtract 5 thousands 18 hundreds from 7 thousands 4 hundreds.
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Answer: 5 thousands 18 hundreds = 6,800; 7 thousands 4 hundreds = 7,400; 7,400 - 6,800 = 600
Teacher's Note: Write the numbers in columns and subtract from the right.
36. Subtract 3 lakh 76 thousand from 4 lakh.
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Answer: 400,000 - 376,000 = 24,000
Teacher's Note: Write the numbers in columns and subtract from the right.
37. What number is 2,897 less than 16,000?
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Answer: 16,000 - 2,897 = 13,103
Teacher's Note: Write the numbers in columns and subtract from the right.
38. What number should be subtracted from 22,222 to get 9,999?
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Answer: 22,222 - 9,999 = 12,223
Teacher's Note: Write the numbers in columns and subtract from the right.
Word problems
39. There were 48,213 bags of rice in a godown. If 19,425 bags are taken out, how many remain?
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Answer: 48,213 - 19,425 = 28,788 bags
Teacher's Note: Decide whether to add or subtract, then work in columns.
40. The sum of two numbers is 70,350. One is 29,672. Find the other.
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Answer: 70,350 - 29,672 = 40,678
Teacher's Note: Decide whether to add or subtract, then work in columns.
41. By how much is 90,125 more than 58,478?
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Answer: 90,125 - 58,478 = 31,647
Teacher's Note: Decide whether to add or subtract, then work in columns.
42. The sum of three numbers is 100,010. Two of them are 37,675 and 28,948. Find the third.
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Answer: Two numbers add to 66,623; 100,010 - 66,623 = 33,387
Teacher's Note: Decide whether to add or subtract, then work in columns.
43. From a wire 30,000 m long, pieces of 8,654 m and 9,345 m were cut off. Find the length left.
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Answer: Cut off = 17,999 m; 30,000 - 17,999 = 12,001 m
Teacher's Note: Decide whether to add or subtract, then work in columns.
44. A dairy produced 70,500 litres of milk. It supplied 28,680 litres to one town and 19,596 litres to another. How much was left?
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Answer: Supplied = 48,276 L; 70,500 - 48,276 = 22,224 litres
Teacher's Note: Decide whether to add or subtract, then work in columns.
45. Which number exceeds 48,665 by 888?
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Answer: 48,665 + 888 = 49,553
Teacher's Note: Decide whether to add or subtract, then work in columns.
46. Add the largest 5-digit number to the largest 6-digit number.
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Answer: 99,999 + 999,999 = 1,099,998
Teacher's Note: Decide whether to add or subtract, then work in columns.
47. The difference between two numbers is 35,489. The greater number is 73,325. Find the sum of the two numbers.
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Answer: Smaller = 73,325 - 35,489 = 37,836; sum = 73,325 + 37,836 = 111,161
Teacher's Note: Decide whether to add or subtract, then work in columns.
48. There are 4,562 boys in a school. The girls are 689 less than the boys. Find the total strength.
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Answer: Girls = 4,562 - 689 = 3,873; total = 4,562 + 3,873 = 8,435
Teacher's Note: Decide whether to add or subtract, then work in columns.
Free study material for Mathematics
Addition and Subtraction Concepts and Summary for Class 4 Mathematics
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