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Place Value Mastery

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Place Value Mastery

Place value chart with numbers

📊 Part 1: Partitioning and Place Value

1. Partition the number 5,847 into thousands, hundreds, tens and ones.

5,847 = _______ + _______ + _______ + _______

Explain: What does the digit 8 represent in this number?

2. Compare these two numbers: 6,394 and 6,349

6,394 is greater because it has more digits

6,349 is greater because 9 > 4

6,394 is greater because 90 > 40 in the tens place

They are equal

Explain your reasoning:

3. Write the number that is made from:

3 thousands + 0 hundreds + 7 tens + 2 ones = _________

What would happen to this number if you swapped the thousands and tens digits?

New number: _________

🎯 Part 2: Rounding Numbers

4. Round 4,673 to the nearest:

10: _________

100: _________

1000: _________

Explain: Which digit did you look at when rounding to the nearest 100? Why?

5. Circle the numbers that round to 3,000 when rounded to the nearest thousand:

2,499

2,500

3,200

3,499

3,500

6. A cinema has 2,847 seats. The manager needs to give an approximate number for advertising.

Rounded to nearest 10: _________ seats

Rounded to nearest 100: _________ seats

Rounded to nearest 1000: _________ seats

Which rounding would be most useful for the cinema manager? Explain why.

🧮 Part 3: Problem Solving

7. A school is planning a sports day. They expect 3,785 people to attend (pupils, families and staff).

a) They need to order programmes. Should they round up or down to the nearest 100? _________

Number of programmes to order: _________

Explain your reasoning:

8. Look at this number: 7,□52

What digit could go in the box (□) to make the number round to 8,000 when rounded to the nearest thousand?

Possible digits: _________

Explain how you worked this out:

9. Challenge: Create your own 4-digit number that rounds to 5,000 when rounded to the nearest thousand, but rounds to 4,600 when rounded to the nearest hundred.

My number: _________

Show your working and explain why your number works:

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