Place Value Mastery Answers

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📊 Part 1: Place Value Identification

1. In the number 547,382, what is the value of the digit 4?

Answer: 40,000 (forty thousand)

2. Which digit is in the ten thousands place in 629,451?

Answer: 2

3. Write 356,742 in expanded form.

Answer: 300,000 + 50,000 + 6,000 + 700 + 40 + 2

4. What number is represented by: 4 × 100,000 + 7 × 10,000 + 2 × 1,000 + 8 × 100 + 5 × 10 + 3?

Answer: 472,853

🔢 Part 2: Reasoning and Problem Solving

5. Compare these numbers using <, > or =: 456,789 _____ 456,798

Answer: 456,789 < 456,798

6. Round 347,625 to the nearest ten thousand.

Answer: 350,000
Explanation: Look at the thousands digit (7). Since 7 ≥ 5, round up.

7. A library has 284,567 books. If they buy 15,000 more books, how many will they have in total?

Answer: 299,567 books
Working: 284,567 + 15,000 = 299,567

8. What is the smallest 6-digit number you can make using the digits 3, 7, 1, 9, 5, 2 (each digit used once)?

Answer: 123,579
Strategy: Arrange digits in ascending order from left to right.

🎯 Part 3: Challenge Questions

9. The population of Manchester is 547,000 (rounded to the nearest thousand). What is the smallest possible actual population?

Answer: 546,500
Reasoning: When rounding to the nearest thousand, any number from 546,500 to 547,499 would round to 547,000. The smallest is 546,500.

10. A mystery number has 6 digits. The digit in the hundreds place is 3 times the digit in the units place. The ten thousands digit is half the hundreds digit. If the units digit is 2, the thousands digit is 7, and the remaining digits are both 5, what is the mystery number?

Answer: 553,762
Working:
• Units digit = 2
• Hundreds digit = 3 × 2 = 6
• Ten thousands digit = 6 ÷ 2 = 3
• Thousands digit = 7 (given)
• Remaining digits = 5 each
• Number: 553,762

11. Extension: If you increase each digit in 234,561 by 2 (treating 8+2=0 and 9+2=1), what number do you get?

Answer: 456,783
Working: 2→4, 3→5, 4→6, 5→7, 6→8, 1→3
Challenge concept: Modular arithmetic (base 10)