Question 1: Compare the numbers 5,678,234 and 5,678,243. Which is larger? Show your working.

Answer: 5,678,243

Question 2: Arrange the following numbers in ascending order: 1,234,567; 1,234,576; 1,234,546.

Answer: 1,234,546; 1,234,567; 1,234,576

Question 3: Is 9,876,543 greater than or less than 9,876,534? Explain your reasoning.

Answer: greater than

Question 4: Calculate whether 3,245,678 is greater than 3,245,687. Show your comparison steps.

Answer: 3,245,687 is greater

Question 5: The numbers 7,654,321 and 7,654,312 are compared. Write an inequality to show which is larger.

Answer: 7,654,321 > 7,654,312

Question 6: Construct a comparison between 8,901,234 and 8,901,243 using the correct inequality symbol.

Answer: 8,901,234 < 8,901,243

Question 7: Compare the values of 2,345,678 and 2,345,679 and explain why one is greater than the other.

Answer: 2,345,679 is greater because it has a larger units digit in the million's place.

Question 8: Identify the mistake: students compare 4,567,890 and 4,567,89 and conclude the latter is larger.

Answer: The mistake is misreading the number 4,567,89 as 4,567,890 or 45,678,9; correct comparison shows 4,567,890 is larger.

Question 9: Compare 6,789,012 and 6,789,210. Which is larger and why?

Answer: 6,789,210 is larger because the hundred's digit is greater.

Question 10: A real-world scenario: Two bank accounts have balances of $3,456,789 and $3,456,798. Which has the greater amount? Justify your answer.

Answer: $3,456,798 has the greater amount because the units digit is larger.

Question 11: Challenge: Construct two 8-digit numbers that differ by exactly 1,000,000 and compare them.

Answer: Example: 5,432,100 and 6,432,100; 6,432,100 > 5,432,100