What is Multiplication by Partition?

Multiplication by partition is a clever way to solve multiplication problems by breaking numbers into smaller, easier parts. This helps us to make bigger calculations simpler!

How Does It Work?

Let’s take an example. If we want to calculate (23 \times 4), we can break the number 23 into two parts: 20 and 3.

  1. Partition the first number:
    • (23 = 20 + 3)
  2. Multiply each part by the second number:
    • (20 \times 4 = 80)
    • (3 \times 4 = 12)
  3. Add the results together:
    • (80 + 12 = 92)

So, (23 \times 4 = 92)!

Key Rules

  1. Break the number into parts: You can split it into tens and units or any other way that makes sense.
  2. Multiply each part separately: Always multiply each part by the other number.
  3. Add the results: Finally, add all the results together to get your answer.

Tips and Tricks

  • Use friendly numbers: Choose parts that are easy to multiply.
  • Check your work: After you finish, you can check by doing the multiplication the traditional way.
  • Practice!: The more you practice, the easier it will become.

Example Problems

Easy Level Questions

  1. (14 \times 3)
  2. (25 \times 2)
  3. (11 \times 5)
  4. (30 \times 4)
  5. (22 \times 2)
  6. (15 \times 3)
  7. (42 \times 1)
  8. (33 \times 2)
  9. (20 \times 5)
  10. (24 \times 3)
  11. (10 \times 6)
  12. (18 \times 2)
  13. (21 \times 4)
  14. (17 \times 3)
  15. (12 \times 5)
  16. (40 \times 2)
  17. (27 \times 3)
  18. (13 \times 4)
  19. (31 \times 2)
  20. (16 \times 2)

Medium Level Questions

  1. (45 \times 3)
  2. (36 \times 4)
  3. (52 \times 5)
  4. (62 \times 2)
  5. (74 \times 3)
  6. (29 \times 6)
  7. (58 \times 4)
  8. (73 \times 5)
  9. (81 \times 2)
  10. (90 \times 3)
  11. (34 \times 7)
  12. (47 \times 5)
  13. (66 \times 3)
  14. (39 \times 8)
  15. (28 \times 4)
  16. (60 \times 2)
  17. (75 \times 4)
  18. (83 \times 3)
  19. (99 \times 2)
  20. (44 \times 6)

Hard Level Questions

  1. (67 \times 5)
  2. (84 \times 6)
  3. (95 \times 7)
  4. (72 \times 8)
  5. (58 \times 9)
  6. (100 \times 3)
  7. (56 \times 12)
  8. (81 \times 11)
  9. (47 \times 14)
  10. (63 \times 15)
  11. (92 \times 8)
  12. (48 \times 13)
  13. (75 \times 10)
  14. (89 \times 9)
  15. (39 \times 16)
  16. (95 \times 5)
  17. (84 \times 11)
  18. (72 \times 9)
  19. (100 \times 6)
  20. (63 \times 18)

Answers and Explanations

Easy Level Answers

  1. (14 \times 3 = 42)
  2. (25 \times 2 = 50)
  3. (11 \times 5 = 55)
  4. (30 \times 4 = 120)
  5. (22 \times 2 = 44)
  6. (15 \times 3 = 45)
  7. (42 \times 1 = 42)
  8. (33 \times 2 = 66)
  9. (20 \times 5 = 100)
  10. (24 \times 3 = 72)
  11. (10 \times 6 = 60)
  12. (18 \times 2 = 36)
  13. (21 \times 4 = 84)
  14. (17 \times 3 = 51)
  15. (12 \times 5 = 60)
  16. (40 \times 2 = 80)
  17. (27 \times 3 = 81)
  18. (13 \times 4 = 52)
  19. (31 \times 2 = 62)
  20. (16 \times 2 = 32)

Medium Level Answers

  1. (45 \times 3 = 135)
  2. (36 \times 4 = 144)
  3. (52 \times 5 = 260)
  4. (62 \times 2 = 124)
  5. (74 \times 3 = 222)
  6. (29 \times 6 = 174)
  7. (58 \times 4 = 232)
  8. (73 \times 5 = 365)
  9. (81 \times 2 = 162)
  10. (90 \times 3 = 270)
  11. (34 \times 7 = 238)
  12. (47 \times 5 = 235)
  13. (66 \times 3 = 198)
  14. (39 \times 8 = 312)
  15. (28 \times 4 = 112)
  16. (60 \times 2 = 120)
  17. (75 \times 4 = 300)
  18. (83 \times 3 = 249)
  19. (99 \times 2 = 198)
  20. (44 \times 6 = 264)

Hard Level Answers

  1. (67 \times 5 = 335)
  2. (84 \times 6 = 504)
  3. (95 \times 7 = 665)
  4. (72 \times 8 = 576)
  5. (58 \times 9 = 522)
  6. (100 \times 3 = 300)
  7. (56 \times 12 = 672)
  8. (81 \times 11 = 891)
  9. (47 \times 14 = 658)
  10. (63 \times 15 = 945)
  11. (92 \times 8 = 736)
  12. (48 \times 13 = 624)
  13. (75 \times 10 = 750)
  14. (89 \times 9 = 801)
  15. (39 \times 16 = 624)
  16. (95 \times 5 = 475)
  17. (84 \times 11 = 924)
  18. (72 \times 9 = 648)
  19. (100 \times 6 = 600)
  20. (63 \times 18 = 1134)

Now you have a clear understanding of multiplication by partition. Remember, practice makes perfect! Happy multiplying!