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Number Value Exploration

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Number Value Exploration worksheet preview

Number Value Exploration

Place value blocks and number charts

📊 Part 1: Expanded Form and Place Value

1. Write these numbers in expanded form:

Year 7:

a) 4,582 = _________ + _________ + _________ + _________

b) 7,039 = _________ + _________ + _________ + _________

Year 8:

c) 6.347 = _________ + _________ + _________ + _________

d) 12.085 = _________ + _________ + _________ + _________ + _________

2. What is the place value of the underlined digit?

a) 3,467 = _________

b) 8.294 = _________

c) 5,812 = _________

d) 14.573 = _________

🔢 Part 2: Comparing and Ordering Numbers

3. Use <, > or = to compare these numbers:

Year 7:

a) 4,567 _____ 4,576

b) 8,200 _____ 8,020

Year 8:

c) 3.45 _____ 3.450

d) 7.82 _____ 7.819

4. Order these numbers from smallest to largest:

Year 7: 6,543 | 6,453 | 6,534 | 6,345

Year 8: 2.67 | 2.076 | 2.607 | 2.6

5. Explain your reasoning for question 4 using place value vocabulary:

🎯 Part 3: Rounding and Real-Life Applications

6. Round these numbers:

Year 7:

a) 4,673 to the nearest hundred = _________

b) 8,549 to the nearest thousand = _________

Year 8:

c) 5.847 to the nearest tenth = _________

d) 12.356 to the nearest hundredth = _________

7. Auckland's population is approximately 1,695,000 people. Wellington's population is approximately 418,500 people.

a) Round Auckland's population to the nearest hundred thousand: _________

b) Round Wellington's population to the nearest ten thousand: _________

c) About how many more people live in Auckland than Wellington? _________

8. A runner completes a 10-kilometre race in 47.385 minutes.

a) Round the time to the nearest minute: _________ minutes

b) Round the time to the nearest tenth of a minute: _________ minutes

c) If the runner wants to improve by 2.5 minutes, what would their new target time be? _________ minutes

9. Challenge: Explain why 0.5 rounds up to 1 when rounding to the nearest whole number:

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