🔢 Part 1: Place Value Warm-Up

1. Write the number four hundred and sixty-two thousand, three hundred and eight in digits.

2. What is the value of the digit 7 in the number 573,841?

7

700

7,000

70,000

3. Order these numbers from smallest to largest:

209,450 920,045 290,054 29,540

4. Fill in the place value table for the number 384,607:

5. Write 605,070 in expanded form (base 10 structure).

Example: 12,345 = 10,000 + 2,000 + 300 + 40 + 5

✖️ Part 2: Factor Pair Challenges

6. List all factor pairs for 36. The first one is done for you.

1 × 36 = 36 _______ × _______ = 36 _______ × _______ = 36 _______ × _______ = 36 _______ × _______ = 36

7. Circle all the numbers below that are factors of 48:

3

7

8

9

12

16

8. Find a number between 20 and 30 that has exactly 6 factors. Show your working.

9. True or False? Every even number has 2 as a factor.

True

False

Explain your thinking: _____________________________________________

💬 Part 3: Mathematical Thinking

10. Tāne says: "The number 999,999 is one less than one million." Do you agree? Explain using place value language.

11. A school fundraiser collected $248,500 over five years. Round this amount to the nearest ten thousand dollars and explain how you decided.

12. Challenge 🌟 — A number has these clues: it is between 100,000 and 200,000; the tens digit is 4; the thousands digit is 7; all other digits are 0. Write the number and then list all its factor pairs.