Year 4 Maths: Multiplying with Large Numbers

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!