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Multiplying by 10 Shifts

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Multiplying by 10 Shifts

Place value chart showing digit shifts

📚 Part 1: Understanding Place Value Shifts

WALT: Understand how multiplying by 10 shifts digits one place to the left in place value.

Remember: When we multiply by 10, each digit moves one place to the left. The number becomes 10 times bigger!

1. Look at the number 47. When we multiply by 10, where do the digits move?

One place to the right

One place to the left

They stay in the same place

2. Complete this place value chart. Show 23 × 10 by drawing the digits in the correct columns:

Thousands | Hundreds | Tens | Ones

Original number 23: _____ | _____ | _____ | _____

After × 10: _____ | _____ | _____ | _____

3. Which of these show what happens when we multiply 56 by 10? (Tick all correct answers)

56 becomes 560

The 5 moves to the hundreds column

The 6 moves to the tens column

We add a zero to the end

✏️ Part 2: Practice Problems

4. Multiply these numbers by 10:

a) 34 × 10 = _____

b) 67 × 10 = _____

c) 125 × 10 = _____

d) 408 × 10 = _____

5. Multiply these numbers by 100:

a) 15 × 100 = _____

b) 73 × 100 = _____

c) 246 × 100 = _____

6. Word Problem: A box contains 24 pencils. If the school orders 10 boxes, how many pencils will they have in total?

Answer: _____ pencils

Explain your thinking: ________________________________

7. Explain in your own words what happens to the digits when you multiply a number by 10.

Sentence starter: When I multiply by 10, the digits _________________

🌟 Part 3: Extension Challenge

8. Challenge: What happens when you multiply by 1000? Try these:

a) 17 × 1000 = _____

b) 84 × 1000 = _____

How many places do the digits shift? _____

9. Problem Solving: A cinema has 45 seats in each row. If there are 10 rows, how many people can watch a movie? If they show the same movie 10 times in one day, how many people could see it in total?

Seats per showing: _____ people

Total for 10 showings: _____ people

Show your working:

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