Year 5 Maths: Multiplying by 10, 100 and 1000

Introduction to Multiplying by 10, 100, and 1000

Hello Year 5! Today, we’re going to learn how to multiply numbers by 10, 100, and 1000. This is an important skill that will help you with many maths problems in the future. Let’s break it down step by step!

Understanding the Concept

What Happens When We Multiply?

When we multiply a number by 10, 100, or 1000, we’re actually making that number bigger. Here’s how it works:

• Multiplying by 10: You shift the digits one place to the left. For example, if you have 5 and you multiply it by 10, you get 50. $$5 \times 10 = 50$$
• Multiplying by 100: You shift the digits two places to the left. For instance, 7 multiplied by 100 becomes 700. $$7 \times 100 = 700$$
• Multiplying by 1000: You shift the digits three places to the left. So, 3 multiplied by 1000 becomes 3000. $$3 \times 1000 = 3000$$

Key Rules to Remember

1. Shifting:
   • Multiply by 10: Shift the digits one space.
   • Multiply by 100: Shift the digits two spaces.
   • Multiply by 1000: Shift the digits three spaces.
2. Zeros: When you multiply by 10, 100, or 1000, you add zeros to the end of the number.

Tips and Tricks

• Use Place Value: Remember where each digit belongs. It helps to keep track of how many spaces to shift.
• Write it Down: If you’re unsure, write the number down and see how it changes when you multiply.
• Practice with Real-Life Examples: Think of prices in a shop. If something costs £5, what would it cost for 10 items?

Examples

Let’s look at some examples together!

• Example 1: Find 4 × 10. $$4 \times 10 = 40$$
• Example 2: Find 12 × 100. $$12 \times 100 = 1200$$
• Example 3: Find 25 × 1000. $$25 \times 1000 = 25000$$

Questions for Practice

Easy Level Questions

1. What is 6 × 10?
2. What is 8 × 10?
3. What is 9 × 100?
4. What is 3 × 100?
5. What is 7 × 1000?
6. What is 2 × 10?
7. What is 5 × 100?
8. What is 1 × 1000?
9. What is 4 × 10?
10. What is 0 × 100?
11. What is 10 × 10?
12. What is 11 × 100?
13. What is 12 × 1000?
14. What is 15 × 10?
15. What is 14 × 100?
16. What is 13 × 1000?
17. What is 20 × 10?
18. What is 25 × 10?
19. What is 30 × 100?
20. What is 40 × 1000?

Medium Level Questions

1. What is 25 × 10?
2. What is 32 × 100?
3. What is 45 × 1000?
4. What is 18 × 10?
5. What is 21 × 100?
6. What is 17 × 1000?
7. What is 29 × 10?
8. What is 54 × 100?
9. What is 33 × 1000?
10. What is 60 × 10?
11. What is 47 × 100?
12. What is 72 × 1000?
13. What is 85 × 10?
14. What is 90 × 100?
15. What is 78 × 1000?
16. What is 66 × 10?
17. What is 77 × 100?
18. What is 88 × 1000?
19. What is 99 × 10?
20. What is 100 × 1000?

Hard Level Questions

1. What is 125 × 10?
2. What is 256 × 100?
3. What is 347 × 1000?
4. What is 487 × 10?
5. What is 512 × 100?
6. What is 634 × 1000?
7. What is 723 × 10?
8. What is 849 × 100?
9. What is 910 × 1000?
10. What is 111 × 10?
11. What is 222 × 100?
12. What is 333 × 1000?
13. What is 444 × 10?
14. What is 555 × 100?
15. What is 666 × 1000?
16. What is 777 × 10?
17. What is 888 × 100?
18. What is 999 × 1000?
19. What is 1001 × 10?
20. What is 2002 × 1000?

Answers and Explanations

Easy Level Answers

1. 60
2. 80
3. 900
4. 300
5. 7000
6. 20
7. 500
8. 1000
9. 40
10. 0
11. 100
12. 1100
13. 12000
14. 150
15. 1400
16. 13000
17. 200
18. 250
19. 3000
20. 40000

Medium Level Answers

1. 250
2. 3200
3. 45000
4. 180
5. 2100
6. 17000
7. 290
8. 5400
9. 33000
10. 600
11. 4700
12. 72000
13. 850
14. 9000
15. 78000
16. 660
17. 7700
18. 88000
19. 990
20. 100000

Hard Level Answers

1. 1250
2. 25600
3. 347000
4. 4870
5. 51200
6. 634000
7. 7230
8. 84900
9. 910000
10. 1110
11. 22200
12. 333000
13. 4440
14. 55500
15. 666000
16. 7770
17. 88800
18. 999000
19. 10010
20. 2002000

Now, you are ready to practice multiplying by 10, 100, and 1000! Keep practicing, and soon you’ll be a pro at it!