Welcome, Year 4! Today, we’re going to learn how to multiply with large numbers. Don’t worry; we’ll break it down into simple steps so it’s easy to understand. Let’s get started!

What is Multiplication?

Multiplication is like adding the same number again and again. For example, if you have 3 groups of 4 apples, you can add them like this:

4 + 4 + 4 = 12

But it’s easier to say:

3 \times 4 = 12

Why Multiply Large Numbers?

Sometimes, we need to multiply larger numbers, like 23 or 456. Multiplying these numbers helps us solve bigger problems, like calculating money or counting items.

How to Multiply Large Numbers

Step 1: Break it Down

When multiplying larger numbers, we can break them down into smaller parts. For example, let’s multiply:

23 \times 4

Instead of multiplying straight away, we can break 23 down into 20 and 3:

(20 + 3) \times 4

Step 2: Distribute the 4

Now, we can use the distributive property. We’ll multiply 20 by 4 and then 3 by 4:

20 \times 4 + 3 \times 4

Calculating those gives us:

80 + 12

Step 3: Add the Results

Finally, we add the two results together:

80 + 12 = 92

So,

23 \times 4 = 92

Key Rules for Multiplying

  1. Order Doesn’t Matter: You can multiply numbers in any order. For example, 3 \times 4
    is the same as 4 \times 3
    .
  2. Zero Rule: Any number multiplied by 0 is always 0. For example, 5 \times 0 = 0
    .
  3. One Rule: Any number multiplied by 1 stays the same. For example, 7 \times 1 = 7
    .

Tips and Tricks

  • Use a Times Table: Knowing your times tables helps a lot! Practice them often.
  • Estimate First: You can round numbers to make them easier to multiply. For example, if you want to multiply 49 \times 6
    , you can round 49 to 50, and think 50 \times 6 = 300
    . Then adjust your answer.
  • Use Arrays: Draw an array or a grid to visualize multiplication. It makes it easier to see how numbers fit together.

Questions

Easy Level Questions

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

Medium Level Questions

  1. What is 12 \times 4
    ?
  2. What is 15 \times 3
    ?
  3. What is 25 \times 2
    ?
  4. What is 18 \times 5
    ?
  5. What is 23 \times 3
    ?
  6. What is 14 \times 6
    ?
  7. What is 32 \times 2
    ?
  8. What is 21 \times 4
    ?
  9. What is 27 \times 5
    ?
  10. What is 16 \times 3
    ?
  11. What is 11 \times 9
    ?
  12. What is 30 \times 2
    ?
  13. What is 20 \times 4
    ?
  14. What is 19 \times 3
    ?
  15. What is 10 \times 6
    ?
  16. What is 15 \times 5
    ?
  17. What is 24 \times 2
    ?
  18. What is 13 \times 4
    ?
  19. What is 17 \times 3
    ?
  20. What is 22 \times 2
    ?

Hard Level Questions

  1. What is 45 \times 6
    ?
  2. What is 32 \times 7
    ?
  3. What is 54 \times 4
    ?
  4. What is 36 \times 5
    ?
  5. What is 27 \times 8
    ?
  6. What is 49 \times 3
    ?
  7. What is 64 \times 2
    ?
  8. What is 81 \times 4
    ?
  9. What is 50 \times 9
    ?
  10. What is 72 \times 6
    ?
  11. What is 56 \times 8
    ?
  12. What is 63 \times 7
    ?
  13. What is 39 \times 5
    ?
  14. What is 28 \times 4
    ?
  15. What is 75 \times 2
    ?
  16. What is 88 \times 3
    ?
  17. What is 90 \times 7
    ?
  18. What is 42 \times 2
    ?
  19. What is 100 \times 8
    ?
  20. What is 36 \times 9
    ?

Answers

Easy Level Answers

  1. 15
  2. 14
  3. 24
  4. 16
  5. 50
  6. 27
  7. 24
  8. 8
  9. 0
  10. 21
  11. 18
  12. 25
  13. 12
  14. 21
  15. 20
  16. 18
  17. 9
  18. 8
  19. 20
  20. 4

Medium Level Answers

  1. 48
  2. 45
  3. 50
  4. 90
  5. 69
  6. 84
  7. 64
  8. 84
  9. 135
  10. 48
  11. 99
  12. 60
  13. 80
  14. 57
  15. 60
  16. 30
  17. 24
  18. 52
  19. 60
  20. 44

Hard Level Answers

  1. 270
  2. 224
  3. 216
  4. 180
  5. 216
  6. 147
  7. 128
  8. 324
  9. 450
  10. 432
  11. 448
  12. 441
  13. 195
  14. 112
  15. 150
  16. 264
  17. 630
  18. 84
  19. 800
  20. 324

I hope you enjoyed learning about multiplying large numbers! Keep practicing, and you’ll get even better!