Introduction to Multiplication by Two-Digit Numbers

Hello Year 6! Today we’re going to learn how to multiply by two-digit numbers. This might seem tricky at first, but with practice, you will get the hang of it. Let’s break it down into simple steps.

Understanding the Basics

When we multiply, we are adding a number to itself a certain number of times. For example, if we multiply 3 by 4 (written as 3 \times 4), it’s the same as saying “3 added together 4 times”:

3 + 3 + 3 + 3 = 12

What is a Two-Digit Number?

A two-digit number is any number that has two digits, like 12, 34, or 57.

How to Multiply by a Two-Digit Number

Let’s use an example to make it clearer. We will multiply 23 by 15.

Step 1: Break It Down

  1. Break down the two-digit number into tens and units.
    • 15 is the same as 10 + 5.
  2. Use the distributive property.
    • We can think of our problem as:
    23 \times (10 + 5)
  3. Multiply 23 by each part.
    • First, multiply 23 by 10:
    23 \times 10 = 230
    • Then multiply 23 by 5:
    23 \times 5 = 115

Step 2: Add the Results

Now, we add the two results together:

230 + 115 = 345

So, 23 \times 15 = 345 .

Key Rules and Tips

  1. Break it down into smaller parts: Always split the two-digit number into tens and units.
  2. Keep your work neat: Write down each step clearly to avoid confusion.
  3. Double-check your addition: After multiplying, make sure to add correctly.
  4. Practice makes perfect: The more you practice, the easier it gets!

Questions

Easy Level Questions

  1. What is 12 \times 10?
  2. What is 14 \times 2?
  3. What is 23 \times 1?
  4. What is 20 \times 3?
  5. What is 15 \times 0?
  6. What is 11 \times 5?
  7. What is 30 \times 2?
  8. What is 25 \times 1?
  9. What is 40 \times 3?
  10. What is 13 \times 2?
  11. What is 12 \times 5?
  12. What is 10 \times 9?
  13. What is 14 \times 3?
  14. What is 16 \times 1?
  15. What is 22 \times 2?
  16. What is 18 \times 2?
  17. What is 20 \times 1?
  18. What is 17 \times 3?
  19. What is 15 \times 1?
  20. What is 19 \times 0?

Medium Level Questions

  1. What is 24 \times 12?
  2. What is 33 \times 21?
  3. What is 15 \times 14?
  4. What is 42 \times 23?
  5. What is 36 \times 15?
  6. What is 27 \times 13?
  7. What is 31 \times 22?
  8. What is 18 \times 11?
  9. What is 29 \times 14?
  10. What is 25 \times 19?
  11. What is 30 \times 34?
  12. What is 13 \times 25?
  13. What is 16 \times 29?
  14. What is 22 \times 15?
  15. What is 11 \times 34?
  16. What is 12 \times 23?
  17. What is 17 \times 22?
  18. What is 25 \times 33?
  19. What is 14 \times 27?
  20. What is 19 \times 24?

Hard Level Questions

  1. What is 56 \times 27?
  2. What is 48 \times 36?
  3. What is 63 \times 14?
  4. What is 72 \times 59?
  5. What is 85 \times 32?
  6. What is 91 \times 48?
  7. What is 77 \times 25?
  8. What is 64 \times 42?
  9. What is 39 \times 89?
  10. What is 52 \times 76?
  11. What is 27 \times 58?
  12. What is 34 \times 63?
  13. What is 29 \times 47?
  14. What is 73 \times 38?
  15. What is 81 \times 14?
  16. What is 56 \times 28?
  17. What is 66 \times 33?
  18. What is 44 \times 77?
  19. What is 38 \times 29?
  20. What is 90 \times 14?

Answers

Easy Level Answers

  1. 120
  2. 28
  3. 23
  4. 60
  5. 0
  6. 55
  7. 60
  8. 25
  9. 120
  10. 26
  11. 60
  12. 90
  13. 42
  14. 16
  15. 44
  16. 36
  17. 20
  18. 51
  19. 15
  20. 0

Medium Level Answers

  1. 288
  2. 693
  3. 210
  4. 966
  5. 540
  6. 351
  7. 682
  8. 198
  9. 406
  10. 475
  11. 1020
  12. 325
  13. 464
  14. 330
  15. 374
  16. 276
  17. 374
  18. 825
  19. 378
  20. 456

Hard Level Answers

  1. 1512
  2. 1728
  3. 882
  4. 4248
  5. 2720
  6. 4368
  7. 1925
  8. 2688
  9. 3471
  10. 3952
  11. 1566
  12. 2142
  13. 1363
  14. 2774
  15. 1134
  16. 1568
  17. 2178
  18. 3388
  19. 1102
  20. 1260

I hope this helps you understand multiplication by two-digit numbers better! Keep practicing, and you’ll become a multiplication pro in no time!