Question 1: Partition the number 4,583,921 into thousands, hundreds, tens, and units.

Answer: 4,000,000 + 500,000 + 80,000 + 3,000 + 900 + 20 + 1

Question 2: Write 3,276,459 as a sum of its place value components.

Answer: 3,000,000 + 200,000 + 70,000 + 6,000 + 400 + 50 + 9

Question 3: Using partitioning, express 1,045,678 as a sum of place value parts.

Answer: 1,000,000 + 40,000 + 5,000 + 600 + 70 + 8

Question 4: Calculate the sum of 2,345,678 and 1,234,567 by partitioning both numbers first.

Answer: Partitioned: (2,000,000 + 300,000 + 40,000 + 5,000 + 600 + 70 + 8) + (1,000,000 + 200,000 + 30,000 + 4,000 + 500 + 60 + 7) = 3,000,000 + 500,000 + 70,000 + 9,000 + 1,100 + 130 + 15 = 3,580,245

Question 5: Decompose 7,654,321 into its place value parts.

Answer: 7,000,000 + 600,000 + 50,000 + 4,000 + 300 + 20 + 1

Question 6: A bag contains 3,451,786 candies. Partition this number into its place value components.

Answer: 3,000,000 + 400,000 + 50,000 + 1,700 + 80 + 6

Question 7: A number is partitioned as 9,000,000 + 200,000 + 3,000 + 50 + 4. What is the original number?

Answer: 9,203,054

Question 8: Identify and correct the mistake in this partitioning: 5,432,109 = 5,000,000 + 400,000 + 3,000 + 200 + 10 + 9.

Answer: Incorrect: 200 is in the thousands place; it should be 200,000. Corrected: 5,000,000 + 400,000 + 30,000 + 2,000 + 100 + 9.

Question 9: Challenge: Express 8,765,432 as a sum of only place value components, with the largest first.

Answer: 8,000,000 + 700,000 + 60,000 + 5,000 + 400 + 30 + 2

Question 10: Plot the point representing 3,456,789 on the number line from 0 to 4,000,000.

Answer: Student plots at approximately 3,456,789.

Question 11: Construct a triangle on the grid with sides equal to 2cm, 3cm, and 4cm. Label the sides with their lengths.

Answer: Student constructs and labels the triangle accordingly.