Official Class 4 Mathematics Worksheets: All Chapters
Access comprehensive chapter-wise worksheets for All Chapters using the CBSE Class 4 Maths Revision Worksheet Set 26. Designed to align with the 2026-27 academic syllabus for Class 4 Mathematics, these printable practice sets help students reinforce key concepts and improve their overall exam readiness.
Solved Practice Worksheets for Mathematics
Navigate directly to the solved Mathematics worksheets using the digital viewer below. Each practice set includes detailed step-by-step solutions, allowing students to instantly cross-check their work and identify areas requiring further revision.
I. Fill in the Blanks
Question 1. The smallest 6 digit number is ______________
Answer: 1,00,000
In simple words: The smallest 6-digit number is one lakh.
Exam Tip: Always place commas according to the Indian numbering system.
Question 2. The greatest 6 digit number is ______________
Answer: 9,99,999
In simple words: The greatest 6-digit number consists of six nines.
Exam Tip: The greatest n-digit number is always written as n nines.
Question 3. The smallest 7 digit number is ______________
Answer: 10,00,000
In simple words: The smallest 7-digit number is ten lakhs.
Exam Tip: It is formed by adding 1 to the greatest 6-digit number.
Question 4. The greater 7 digit number is _______________
Answer: 99,99,999
In simple words: The greatest 7-digit number consists of seven nines.
Exam Tip: Note that the worksheet says "greater" which means greatest.
Question 5. The smallest 8 digit number is ______________
Answer: 1,00,00,000
In simple words: The smallest 8-digit number is one crore.
Exam Tip: One crore has 7 zeroes after 1.
Question 6. The greatest 8 digit number is ______________
Answer: 9,99,99,999
In simple words: The greatest 8-digit number consists of eight nines.
Exam Tip: Count the digits carefully to avoid missing a nine.
Question 7. 1 crore has ________ zeros
Answer: 7
In simple words: One crore is written as 1,00,00,000 which has 7 zeros.
Question 8. The successor fo 99,99,999 is __________
Answer: 1,00,00,000
In simple words: The successor is found by adding 1 to the given number.
Exam Tip: Successor means the number that comes immediately after.
Question 9. One’s period has ______ places.
Answer: 3
In simple words: The ones period contains Ones, Tens, and Hundreds places.
Exam Tip: Except for the ones period, all other periods in the Indian system have 2 places.
Question 10. _________ and ____________ are the places in the thousand’s period
Answer: Thousand, Ten thousand
In simple words: The thousands period consists of Thousands and Ten thousands.
Exam Tip: Remember the order: Ones, Thousands, Lakhs, Crores.
Question 11. _________ and ____________ are the places in the crore’s period
Answer: Crore, Ten crore
In simple words: The crores period consists of Crores and Ten crores.
Exam Tip: Crores come after lakhs in the Indian place value chart.
Question 12. _________ and ____________ are the places in the lakh’s period
Answer: Lakh, Ten lakh
In simple words: The lakhs period consists of Lakhs and Ten lakhs.
Exam Tip: Lakhs are located between thousands and crores.
Question 13. 8 digit number begins with __________ place.
Answer: Ten crore
In simple words: An 8-digit number reaches up to the ten crore place.
Exam Tip: 7-digit numbers begin with crores, and 8-digit numbers begin with ten crores.
Question 14. 7 digit number begins with ____________ place.
Answer: Crore
In simple words: A 7-digit number starts with the crore place.
Exam Tip: Count the digits: 1-digit is ones, 7-digit is crore.
Question 15. The predecessor of a number is ____________ less than the given number.
Answer: 1
In simple words: Predecessor is found by subtracting 1 from the number.
Exam Tip: Predecessor means the number just before.
Question 16. The successor of 735999 is ___________
Answer: 736000
In simple words: Add 1 to 7,35,999 to get 7,36,000.
Exam Tip: Pay attention to carrying over when adding 1 to numbers ending in 9.
Question 17. The place value of 0 in any place is ___________
Answer: 0
In simple words: Zero always has a place value of zero regardless of its position.
Question 18. The place value of 4 in 4,03,56,932 is ______________
Answer: 4,00,00,000
In simple words: The digit 4 is in the crore place, so its place value is 4 crores.
Exam Tip: Multiply the digit by its place value position.
Question 19. The greatest 6 digit number using the digit 7,4,0,8,9,1 is ________________
Answer: 987410
In simple words: Arrange the given digits in descending order to form the greatest number.
Exam Tip: Descending order means from largest to smallest.
Question 20. The least 6 digit number using the digits 8,0,2,4,3,5 is _______________
Answer: 203458
In simple words: Arrange the digits in ascending order, but do not put 0 at the extreme left.
Exam Tip: The smallest digit other than 0 comes first when forming the least number.
Question 21. The successor of a number is _______ more than the given number.
Answer: 1
In simple words: Successor is always 1 greater than the number.
Exam Tip: Successor = Number + 1.
Question 22. The predecessor of 3420200 is ____________
Answer: 3420199
In simple words: Subtract 1 from 3,420,200 to get 3,420,199.
Question 23. The place value of 8 in 2,83,56,045 is ____________
Answer: 80,00,000
In simple words: 8 is in the ten lakhs place, so its value is 80 lakhs.
Question 24. ___________, ___________________ and ____________ are the places in one’s period.
Answer: Ones, Tens, Hundreds
In simple words: The three places in the ones period are ones, tens, and hundreds.
Question 25. The numbers being added are called ________________
Answer: Addends
In simple words: The numbers you add together are called addends, and the result is the sum.
Question 26. 1 lakh = _______ thousands
Answer: 100
In simple words: 1,00,000 divided by 1,000 equals 100.
Question 27. 0+ 823403 = __________
Answer: 823403
In simple words: Adding zero to any number leaves the number unchanged.
Question 28. The result of addition of the addends is called __________
Answer: Sum
In simple words: The answer you get after addition is called the sum.
Question 29. 3840980 – 1 = ___________
Answer: 3840979
In simple words: Subtracting 1 gives the predecessor of the number.
Question 30. 1 crore = _________ lakhs
Answer: 100
In simple words: One crore is equal to 100 lakhs.
Question 31. 10 thousands = ________ hundreds
Answer: 100
In simple words: 10,000 contains 100 hundreds.
Question 32. 64357+ _____ = 64357
Answer: 0
In simple words: Adding zero to a number keeps it the same.
Question 33. The predecessor of 1000000 is __________
Answer: 999999
In simple words: The predecessor of 10,00,000 is 9,99,999.
Question 34. 20,40,699 _________ 20,40,199 (<, = or >)
Answer: >
In simple words: 20,40,699 is greater than 20,40,199.
Question 35. The place value of 0 in 70,356 is _____________
Answer: 0
In simple words: The place value of zero is always zero.
II. Choose the correct answer
Question 1. The predecessor of 20,00,500 is _______
(a) 20,00,501
(b) 20,00,400
(c) 20,00,499
Answer: (c) 20,00,499
Subtracting 1 from 20,00,500 gives 20,00,499.
In simple words: Predecessor is 1 less than the given number.
Exam Tip: Be careful with borrowing when subtracting across zeros.
Question 2. The place value of 7 in 7659328 is _________
(a) 70000000
(b) 7000000
(c) 700000
Answer: (b) 7000000
The digit 7 is in the millions/crores or rather millions position (7,659,328 has 7 at the millions place, i.e., 7,000,000).
In simple words: The digit 7 is at the millions place.
Exam Tip: Count digits to the right of 7 to determine the number of zeros.
Question 3. The successor of 5,81,609 is _______
(a) 6,81,609
(b) 51,81,610
(c) 51,82,608
Note: Based on standard options, the correct successor is 5,81,610. If option (b) has a typo in the question paper, we select the closest valid option or note standard calculation. Let's provide the exact calculation:
Answer: (b) 5,81,610 (printed as 51,81,610 due to typo in worksheet, correct value is 5,81,610)
In simple words: Add 1 to 5,81,609 to get 5,81,610.
Exam Tip: Always add 1 to find the successor.
Question 4. The smallest 7 digit number formed by 3,4,0,9,7,6 and 5 is _________
(a) 0345679
(b) 4035679
(c) 3045679
Answer: (c) 3045679
Arranging digits in ascending order without putting 0 first gives 3,045,679.
In simple words: Start with the smallest non-zero digit, followed by 0.
Question 5. Which is the greatest numeral
(a) 20,64,405
(b) 20,46,394
(c) 20,64,340
Answer: (a) 20,64,405
Comparing the digits, 20,64,405 is greater than 20,64,340 and 20,46,394.
In simple words: Compare place values from left to right.
Exam Tip: Compare highest place values first.
Question 6. 70 + 20 +10 _________ 20 + 70 + 10
(a)
(b) =
(c) >
Answer: (b) =
Due to the commutative property of addition, changing the order of addends does not change the sum.
In simple words: Both sides equal 100.
Exam Tip: Addition is commutative.
Question 7. 284 + _______ = 645 + 284
(a) 0
(b) 645
(c) 284
Answer: (b) 645
By the commutative property, 284 + 645 = 645 + 284.
In simple words: The missing addend is 645.
Exam Tip: Match both sides of the equation.
Question 8. The number that comes just after a number is called its _________
(a) Predecessor
(b) difference
(c) Successor
Answer: (c) Successor
The number that comes immediately after is the successor.
In simple words: Successor means the next number.
Question 9. The predecessor of 10,00,000 is ________
(a) 99,999
(b) 9,99,999
(c) 99,99,999
Answer: (b) 9,99,999
Subtracting 1 from 10,00,000 gives 9,99,999.
In simple words: One less than ten lakhs is nine lakh ninety-nine thousand nine hundred ninety-nine.
Exam Tip: Check digit count carefully.
Question 10. The successor of 99,99,999 is ________
(a) ten crores
(b) One crore
(c) ten lakhs
Answer: (b) One crore
Adding 1 to 99,99,999 gives 1,00,00,000, which is one crore.
In simple words: The number after 99,99,999 is 1 crore.
Exam Tip: 1,00,00,000 represents one crore in the Indian system.
Question 11. Which is the least numeral?
(a) 23496
(b) 104563
(c) 103256
Answer: (a) 23496
23496 has 5 digits, whereas the other two numbers have 6 digits.
In simple words: A 5-digit number is smaller than 6-digit numbers.
Exam Tip: Fewer digits always mean a smaller number.
Question 12. 75635009 + 1 = _________
(a) 75635109
(b) 7563100
(c) 75635010
Answer: (c) 75635010
Adding 1 to 75,635,009 results in 75,635,010.
In simple words: Increment the last digit by 1.
Exam Tip: Look at the units place before adding.
III. Do the following
Question III.1) Express the following numbers in words
a) 45,00,010
Answer: Forty-five lakhs and ten
b) 9,79,03,400
Answer: Nine crores seventy-nine lakhs three thousand four hundred
c) 3,84,620
Answer: Three lakhs eighty-four thousand six hundred twenty
d) 86,60,25,043
Answer: Eighty-six crores sixty lakhs twenty-five thousand forty-three
In simple words: Read numbers according to Indian periods (Ones, Thousands, Lakhs, Crores).
Exam Tip: Group digits into periods using commas before writing in words.
Question III.2) Write the following numbers in figures
a) Two crores, seventy eight thousand and six
Answer: 2,00,78,006
b) Forty six lakhs, three thousand, one hundred fourteen
Answer: 46,03,114
c) Eighty crore, six lakh, five thousand and eighty two
Answer: 80,06,05,082
d) Six lakh, seventy nine thousand, eight hundred twenty six
Answer: 6,79,826
In simple words: Place each number in its correct place value slot, putting zero for missing places.
Exam Tip: Verify each period has the correct number of digits.
Question III.3) Write the place value of the underlined digit in each of the following:
a) 4832956 (Underlined digit: 8)
Answer: 800,000
b) 67854035 (Underlined digit: 7)
Answer: 7,000,000
c) 53493082 (Underlined digit: 4)
Answer: 400,000
d) 31406356 (Underlined digit: 1)
Answer: 1,000,000
In simple words: Multiply the digit by its place value.
Exam Tip: Count the digits to the right of the underlined digit to determine the number of zeros.
Question III.4) Arrange in ascending order
a) 147634 ; 104678 ; 107468; 146434
Answer: 104678 ; 107468 ; 146434 ; 147634
b) 456079 ; 89785 ; 45607931; 456097
Answer: 89785 ; 456079 ; 456097 ; 45607931
c) 596345; 596354; 98435; 984659
Answer: 98435 ; 984659 ; 596345 ; 596354
d) 20,63,504 ; 20,60,694; 20,60,594; 20,63,604
Answer: 20,60,594 ; 20,60,694 ; 20,63,504 ; 20,63,604
In simple words: Ascending order means arranging from smallest to largest.
Exam Tip: Check digit count first, then compare digits from left to right.
Question III.5) Write the greatest and smallest 7 digit number using the digits:-
a) 3, 7, 0, 9, 2, 8 and 4
Answer:
Greatest number: 9,87,4320
Smallest number: 2,03,4789
b) 4, 0, 5, 7, 3, 9 and 1
Answer:
Greatest number: 9,75,4310
Smallest number: 1,03,4579
In simple words: Greatest uses descending order; smallest uses ascending order without leading zero.
Exam Tip: For the smallest number, place the second smallest non-zero digit first, then 0.
Question III.6) Arrange in descending order:
a) 13245678 ; 12345678; 12435678; 1345678
Answer: 13245678 ; 12435678 ; 12345678 ; 1345678
b) 658791 ; 96587; 98765; 658923
Answer: 658923 ; 658791 ; 98765 ; 96587
c) 4023891; 4032856; 865436; 4932856
Answer: 4932856 ; 4032856 ; 4023891 ; 865436
d) 987056; 964324; 99635; 996530
Answer: 996530 ; 987056 ; 964324 ; 99635
In simple words: Descending order means arranging from largest to smallest.
Exam Tip: Compare numbers starting from the leftmost digit.
Question III.7) Write in the expanded form
a) 483293
Answer: 4,00,000 + 80,000 + 3,000 + 200 + 90 + 3
b) 5095346
Answer: 5,000,000 + 0 + 90,000 + 5,000 + 300 + 40 + 6
c) 734560
Answer: 700,000 + 30,000 + 4,000 + 500 + 60 + 0
In simple words: Write the value of each digit separated by plus signs.
Exam Tip: Expanded form is the sum of the place values of all digits.
Question III.8) Write in short form:-
a) 40000000 + 0 + 300000 + 20000 + 0 + 600 + 0 + 7 =
Answer: 40,320,607
b) 5000000 + 800000 + 70000 + 1000 + 200 + 60 + 0 =
Answer: 5,871,260
c) 900000 + 60000 + 0 + 800 + 0 + 3 =
Answer: 960,803
In simple words: Combine the place values to form the standard numeral.
Question III.9) Rewrite the numbers placing the commas according to the “Indian System”
a) 46032795
Answer: 4,60,32,795
b) 126798005
Answer: 12,67,98,005
c) 26450093
Answer: 2,64,50,093
d) 703567
Answer: 7,03,567
In simple words: Put a comma after 3 digits from the right, then after every 2 digits.
Exam Tip: Indian system grouping is 3, 2, 2, 2...
Question III.10) Fill in the blanks with ‘<’, ‘=’ or ‘>’
a) 21,78,053 [ ] 21,78,453
Answer:
b) 7,02,40,399 [ ] 7,02,48,399
Answer:
c) 28,43,543 [ ] 28,60,543
Answer:
d) 9,03,640 [ ] 9,03,640
Answer: =
In simple words: Compare the numbers digit by digit from left to right.
Exam Tip: Look at the first differing digit to determine which number is greater.
Question III.11. Add the following:
a) 7,40,76,02 + 2,48,15,48
Answer: 9,88,91,50
b) 2,65,436 + 6,43,289 + 98,109
Answer: 10,06,834
c) 7,32,813 + 3,65,204 + 10,389
Answer: 11,08,406
d) 26,430 + 1,592 + 8,034
Answer: 36,056
In simple words: Line up digits by place value and add column by column with carrying.
Exam Tip: Align columns properly from the right.
Subtraction & Multiplication Worksheet Section
Question 1. The number from which another number is to be subtracted is called the __________________
Answer: Minuend
In simple words: The minuend is the starting number in subtraction.
Exam Tip: Minuend - Subtrahend = Difference.
Question 2. The number which is to be subtracted is called the ____________
Answer: Subtrahend
In simple words: The subtrahend is the amount taken away.
Question 3. The answer of subtraction is called the _____________
Answer: Difference
In simple words: The result of subtraction is the difference.
Exam Tip: Difference plus subtrahend equals minuend.
Question 4. 23650 - ____________ = 23560
Answer: 90
In simple words: 23,650 - 23,560 = 90.
Exam Tip: Subtract the result from the first number to find the missing subtrahend.
Question 5. 70000 – 3799 = ____________
Answer: 66,201
In simple words: Borrow across zeros to subtract 3,799 from 70,000.
Exam Tip: Be careful when borrowing from multiple zeros.
Question 6. In 60 – 15 = 45, the number 15 is called ____________
Answer: Subtrahend
In simple words: 15 is the number being subtracted.
Question 7. In 95 – 30 = 65, the number 95 is called ____________
Answer: Minuend
In simple words: 95 is the initial number.
Question 8. ____________ is the repeated addition of the same number.
Answer: Multiplication
In simple words: Multiplication is fast repeated addition.
Question 9. The answer we get on multiplication is called ____________
Answer: Product
In simple words: The result of multiplying numbers is the product.
Question 10. The number which is to be multiplied is called ____________
Answer: Multiplicand
In simple words: The multiplicand is the number being multiplied.
Question 11. The number by which we multiply is called ____________
Answer: Multiplier
In simple words: The multiplier tells how many times to multiply.
Question 12. If a number is multiplied by 1, the product is the ____________
Answer: Number itself
In simple words: Multiplying by 1 keeps the number unchanged.
Question 13. If a number is multiplied by zero (0), the product is ____________
Answer: 0
In simple words: Anything multiplied by zero is zero.
Question 14. ____________ X 369 = 369
Answer: 1
In simple words: 1 multiplied by any number equals that number.
Question 15. 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 4 x ____________
Answer: 8
In simple words: 4 added 8 times equals 4 times 8.
Question 16. 345 x ____________ = 345000
Answer: 1000
In simple words: Multiplying by 1,000 adds three zeros.
Question 17. 720 x 1000 = ____________
Answer: 7,20,000
In simple words: Append three zeros to 720.
Question 18. 3241 x 1 = ____________
Answer: 3241
In simple words: Multiplying by 1 gives the same number.
Question 19. 98573 x ____________ = 76435 x 98573
Answer: 76435
In simple words: Multiplication is commutative.
Question 20. 19 x 23 = 23 x ____________
Answer: 19
In simple words: Changing the order of factors does not change the product.
Question 21. 3698 x ____________ = 0
Answer: 0
In simple words: Multiplying by zero gives zero.
Question 22. (143 x 250) x 216 = 216 x (143 x ____________)
Answer: 250
In simple words: Multiplication is associative.
Question 23. 9859 - 9859 = ____________
Answer: 0
In simple words: Subtracting a number from itself gives zero.
Question 24. (____________ x 35) x 43 = (43 x 35) x 73
Answer: 73
In simple words: Match both sides of the associative property equation.
Question 25. ____________ x 100 = 57300
Answer: 573
In simple words: Remove two zeros from 57,300 to find the multiplier.
Question 26. 1900 x 30 = ____________
Answer: 57,000
In simple words: 19 multiplied by 3 is 57, followed by three zeros.
Question 27. ____________ x 1000 = 20000
Answer: 20
In simple words: 20 times 1,000 equals 20,000.
Question 28. 840 x 500 = ____________
Answer: 4,20,000
In simple words: 84 times 5 is 420, plus three zeros.
Question 29. 790 x ____________ = 79000
Answer: 100
In simple words: Multiplying by 100 adds two zeros.
Question 30. 205 x ____________ = 205000
Answer: 1000
In simple words: Multiplying by 1,000 adds three zeros.
II. Do the following: Subtraction & Multiplication
Question II.a.i) Subtract: 653604 - 12004
Answer: 6,41,600
In simple words: Subtract 12,004 from 6,53,604.
Question II.a.ii) Subtract: 9895360 - 3991942
Answer: 5,903,418
In simple words: Borrow where necessary and subtract column by column.
Question II.a.iii) Subtract: 640056 - 110395
Answer: 5,29,661
In simple words: 6,40,056 minus 1,10,395 is 5,29,661.
Question II.a.iv) Subtract: 500000 - 101468
Answer: 3,98,532
In simple words: Borrow across zeros to subtract from 5,00,000.
Question II.a.v) Subtract: 156493 - 17989
Answer: 1,38,504
In simple words: 1,56,493 - 17,989 = 1,38,504.
Question II.a.vi) Subtract: 8003500 - 570943
Answer: 7,432,557
In simple words: Subtract 5,70,943 from 80,03,500.
Question II.a.vii) Subtract: 9000000 - 3450806
Answer: 5,549,194
In simple words: 90,00,000 minus 34,50,806 equals 55,49,194.
Question II.a.viii) Subtract: 9847532 - 901689
Answer: 8,945,843
In simple words: 98,47,532 minus 9,01,689 equals 89,45,843.
Question II.b) Multiply:
i) \(6193 \times 25\): Answer: 1,54,825
ii) \(9601 \times 64\): Answer: 6,14,464
iii) \(7389 \times 76\): Answer: 5,61,564
iv) \(1095 \times 89\): Answer: 97,455
v) \(3563 \times 39\): Answer: 1,38,957
vi) \(2530 \times 84\): Answer: 2,12,520
vii) \(4008 \times 99\): Answer: 3,96,792
viii) \(7655 \times 57\): Answer: 4,36,335
ix) \(6430 \times 69\): Answer: 4,43,670
In simple words: Multiply step-by-step using standard multiplication algorithm.
Exam Tip: Double-check partial products before adding them together.
Question 1. In a town there 79,536 men, 80,867 women and 75,069 children. Find the total population of the town.
Answer:
Number of men = 79,536
Number of women = 80,867
Number of children = 75,069
Total population = \(79,536 + 80,867 + 75,069 = 2,35,472\)
In simple words: Add the number of men, women, and children to find the total population.
Exam Tip: Align all numbers properly by their place values before adding.
Question 2. What number is 58435 more than 39211.
Answer:
Given base number = 39,211
Additional amount = 58,435
Required number = \(39,211 + 58,435 = 97,646\)
In simple words: Add 58,435 to 39,211 to find the required number.
Exam Tip: The word "more than" indicates addition.
Question 3. A man deposited Rs. 1,99,890 in a bank and withdrew Rs. 89,785. find the money remained in his account.
Answer:
Total deposited amount = Rs. 1,99,890
Amount withdrawn = Rs. 89,785
Money remaining = \(1,99,890 - 89,785 = 1,10,105\)
In simple words: Subtract the withdrawn amount from the total deposit.
Exam Tip: "Remained" or "left" implies subtraction.
Question 4. The population of a village is 6,98,030. Out of them 85,918 are males. Find the population of females.
Answer:
Total population = 6,98,030
Number of males = 85,918
Population of females = \(6,98,030 - 85,918 = 6,12,112\)
In simple words: Subtract the number of males from the total village population.
Exam Tip: Part of a whole calculation always uses subtraction.
Question 5. The sum of two numbers is 4,26,985. If one of the numbers is 2,65,099. Find the other number.
Answer:
Sum of two numbers = 4,26,985
First number = 2,65,099
Other number = \(4,26,985 - 2,65,099 = 1,61,886\)
In simple words: Subtract the known number from the total sum.
Exam Tip: When sum and one addend are given, subtract to find the other addend.
Question 6. A man bought a plot of land for Rs. 8,34,900. He spent Rs. 1,25,000 on building material and Rs. 1,69,540 on labours to build the house. How much money did he append in all?
Answer:
Cost of land = Rs. 8,34,900
Cost of building material = Rs. 1,25,000
Cost of labor = Rs. 1,69,540
Total money spent = \(8,34,900 + 1,25,000 + 1,69,540 = 11,29,440\)
In simple words: Add all expenses together to find the total money spent.
Division Section & Fill in the Blanks
Question 1. Division is repeated ________________.
Answer: Subtraction
In simple words: Division can be thought of as repeated subtraction.
Exam Tip: Multiplication is repeated addition; division is repeated subtraction.
Question 2. ______________ is repeated subtraction of the same number.
Answer: Division
In simple words: Repeated subtraction is division.
Question 3. The number which is to be divided is called ______________.
Answer: Dividend
In simple words: The dividend is the number being divided.
Question 4. The result obtained by the process of division is called ______________.
Answer: Quotient
In simple words: The answer to a division problem is the quotient.
Question 5. The number which is left undivided is called the ______________.
Answer: Remainder
In simple words: The leftover amount after division is the remainder.
Question 6. Remainder is always less than the ______________.
Answer: Divisor
In simple words: The remainder cannot be equal to or greater than the divisor.
Exam Tip: If remainder is greater than divisor, your division step is too small.
Question 7. Dividend = ______________ x Divisor + Remainder.
Answer: Quotient
In simple words: Dividend equals Quotient times Divisor plus Remainder.
Exam Tip: Use this formula to check division answers.
Question 8. If a number is divided by 1, the quotient is the ______________.
Answer: Number itself
In simple words: Dividing by 1 leaves the number unchanged.
Question 9. Division by zero is ______________.
Answer: Not allowed (or meaningless/undefined)
In simple words: You cannot divide any number by zero.
Question 10. If any number other than Zero (0), is divided by itself the quotient will be ______________ and there will ______________ remainder.
Answer: 1, no (or 0)
In simple words: A number divided by itself gives 1 with no remainder.
Question 11. If zero is divided by a number (other than 0) the quotient will be ______________.
Answer: 0
In simple words: Zero divided by any non-zero number is zero.
Question 12. If there is no remainder, the quotient and divisor are always the ______________ of the dividend.
Answer: Factors
In simple words: When division leaves no remainder, both quotient and divisor are factors.
Question 13. The product divided by the multiplicand equals the ______________.
Answer: Multiplier
In simple words: Product divided by multiplicand gives the multiplier.
Question 14. 4765 ÷ 1 = ______________.
Answer: 4765
In simple words: Dividing by 1 gives the same number.
Question 15. 9321 ÷ ______________ = 9321.
Answer: 1
In simple words: A number divided by 1 is itself.
Question 16. 0 ÷ 63 = ______________.
Answer: 0
In simple words: Zero divided by any number is zero.
Question 17. 589 ÷ 589 = ______________.
Answer: 1
In simple words: A number divided by itself is 1.
Question 18. 126 ÷ 126 = ______________.
Answer: 1
In simple words: Any non-zero number divided by itself is 1.
Question 19. 463 ÷ 10, Quotient is ______________ and Remainder is ______________.
Answer: 46, 3
In simple words: When dividing by 10, the last digit is the remainder and the rest is the quotient.
Question 20. 6750 ÷ 1000, Quotient is ______________ and remainder is ______________.
Answer: 6, 750
In simple words: The thousands digit gives the quotient, and the last three digits give the remainder.
Question 21. In 72 ÷ 9 = 8, the dividend is ______________ the divisor is ______________ and remainder is ______________.
Answer: 72, 9, 0
In simple words: Dividend is 72, divisor is 9, remainder is 0.
Question 22. Division by ______________ is not allowed.
Answer: Zero (0)
In simple words: Division by zero is undefined.
Question 23. We can divide a number by itself exactly ______________.
Answer: 1 time
In simple words: A number divides into itself 1 time.
Question 24. Division is the inverse (opposite) of ______________.
Answer: Multiplication
In simple words: Multiplication and division are inverse operations.
Question 25. When dividend and divisor are same number then the quotient is ______________.
Answer: 1
In simple words: Dividing a number by itself gives 1.
Question 26. The product of 4 x 2 x 0 x1 is ______________.
Answer: 0
In simple words: Multiplying by 0 makes the entire product zero.
Divide and check the answer :-
Question a) 6935 ÷ 8
Answer:
Quotient = 866, Remainder = 7
Check: \(866 \times 8 + 7 = 6928 + 7 = 6935\)
In simple words: Divide 6,935 by 8 to get 866 with a remainder of 7.
Question b) 2645 ÷ 3
Answer:
Quotient = 881, Remainder = 2
Check: \(881 \times 3 + 2 = 2643 + 2 = 2645\)
In simple words: Quotient is 881 and remainder is 2.
Question c) 7645 ÷ 7
Answer:
Quotient = 1092, Remainder = 1
Check: \(1092 \times 7 + 1 = 7644 + 1 = 7645\)
In simple words: Quotient is 1,092 and remainder is 1.
Question d) 9035 ÷ 4
Answer:
Quotient = 2258, Remainder = 3
Check: \(2258 \times 4 + 3 = 9032 + 3 = 9035\)
In simple words: Quotient is 2,258 and remainder is 3.
Question e) 8888 ÷ 9
Answer:
Quotient = 987, Remainder = 5
Check: \(987 \times 9 + 5 = 8883 + 5 = 8888\)
In simple words: Quotient is 987 and remainder is 5.
Question f) 1295 ÷ 6
Answer:
Quotient = 215, Remainder = 5
Check: \(215 \times 6 + 5 = 1290 + 5 = 1295\)
In simple words: Quotient is 215 and remainder is 5.
Question g) 3576 ÷ 5
Answer:
Quotient = 715, Remainder = 1
Check: \(715 \times 5 + 1 = 3575 + 1 = 3576\)
In simple words: Quotient is 715 and remainder is 1.
Question h) 1056 ÷ 2
Answer:
Quotient = 528, Remainder = 0
Check: \(528 \times 2 + 0 = 1056\)
In simple words: Quotient is 528 and remainder is 0.
Divide and write the quotient and remainder :-
Question a) 3469 ÷ 16
Answer: Quotient = 216, Remainder = 13
In simple words: 3,469 divided by 16 gives 216 with 13 left over.
Question b) 8039 ÷ 32
Answer: Quotient = 251, Remainder = 7
In simple words: 8,039 divided by 32 gives 251 with 7 left over.
Question c) 1076 ÷ 94
Answer: Quotient = 11, Remainder = 42
In simple words: 1,076 divided by 94 gives 11 with 42 left over.
Question d) 6943 ÷ 73
Answer: Quotient = 95, Remainder = 8
In simple words: 6,943 divided by 73 gives 95 with 8 left over.
Question e) 2083 ÷ 19
Answer: Quotient = 109, Remainder = 12
In simple words: 2,083 divided by 19 gives 109 with 12 left over.
Question f) 9835 ÷ 48
Answer: Quotient = 204, Remainder = 43
In simple words: 9,835 divided by 48 gives 204 with 43 left over.
Question g) 7777 ÷ 77
Answer: Quotient = 101, Remainder = 0
In simple words: 7,777 divided by 77 gives exactly 101.
Question h) 2030 ÷ 52
Answer: Quotient = 39, Remainder = 2
In simple words: 2,030 divided by 52 gives 39 with 2 left over.
Solve the following word problems :
Question a. Cost of television is Rs. 7,950. What is the cost of 29 such televisions ?
Answer:
Cost of 1 television = Rs. 7,950
Number of televisions = 29
Total cost = \(7,950 \times 29 = 2,30,550\)
In simple words: Multiply the cost of one television by 29.
Exam Tip: Use multiplication when finding the total cost for multiple identical items.
Question b. 75 students went in an educational tour. If each student pays Rs. 975. What is the total money collected?
Answer:
Number of students = 75
Amount paid by each student = Rs. 975
Total money collected = \(975 \times 75 = 73,125\)
In simple words: Multiply the number of students by the contribution per student.
Question c. 38 children collected Rs. 8090 for flood relief fund. If each child collected the same amount, how much did each child collect?
Answer:
Total amount collected = Rs. 8,090
Number of children = 38
Amount collected by each child = \(8,090 \div 38 = 212\) with remainder \(34\), which is approximately Rs. 212.89 (or quotient 212, remainder 34).
In simple words: Divide the total fund amount by the number of children.
Question d. A man eats 450 gm of rice everyday. How much does he eat in a week?
Answer:
Rice eaten per day = 450 gm
Number of days in a week = 7
Total rice eaten in a week = \(450 \times 7 = 3,150\) gm (or 3 kg 150 gm)
In simple words: Multiply daily consumption by 7 days.
Question e. The school fees for a month is Rs. 1590. Find the fees for the year ?
Answer:
Monthly school fee = Rs. 1,590
Number of months in a year = 12
Total annual fees = \(1,590 \times 12 = 19,080\)
In simple words: Multiply the monthly fee by 12 months.
Question f. 4960 pencils are packed equally into boxes. In each box there are 48 bands (or rather pencils per box). How many boxes are there? How many pencils are left?
Answer:
Total pencils = 4,960
Pencils per box = 48
Number of boxes = \(4,960 \div 48 = 103\) boxes
Remainder (pencils left over) = \(4,960 - (103 \times 48) = 4,960 - 4,944 = 16\) pencils
In simple words: Divide total pencils by the capacity of each box to find the number of boxes and remainder.
Exam Tip: The quotient represents the number of boxes, and the remainder represents leftover pencils.
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