Question 1: Compare the numbers 4,356,789,123 and 4,356,789,321. Which is greater? Show your working.

Answer: 4,356,789,321

Question 2: Arrange the following numbers in ascending order: 987,654,321; 987,654,312; 987,654,231.

Answer: [Sorted list]

Question 3: A company’s revenue this year is 2,345,678,901 and last year was 2,345,678,910. Which year had higher revenue? Explain your reasoning.

Answer: Last year had higher revenue; the second number is greater by 9.

Question 4: Identify the mistake: Compare 5,678,901,234 and 5,678,901,243. A student claims they are equal because the first six digits are the same.

Answer: Mistake: The last three digits differ, so the numbers are not equal. 5,678,901,243 is greater.

Question 5: Compare 7,654,321,098 and 7,654,321,890. Write the comparison symbol (<, >, =) and justify your answer.

Answer: >

Question 6: Determine which of 123,456,789 and 123,456,798 is larger. Show your steps.

Answer: 123,456,798

Question 7: Plot on the grid: 2,345,678,901 and 2,345,678,890. Which is larger? Draw arrows to indicate comparison.

Answer: [Students plot and compare]

Question 8: Construct two numbers with the same number of digits where the first is greater than the second. Use the grid to illustrate your answer.

Answer: [Student constructs numbers]

Question 9: In a real-world context, a bank account has £1,234,567,890 and another has £1,234,567,899. Which account has more money? Explain your reasoning.

Answer: The second account has more money; it is larger by £9.

Question 10: Challenge: Which of the following pairs of numbers is equal? 8,765,432,109 and 8,765,432,109 or 8,765,432,119 and 8,765,432,119. Justify your answer.

Answer: The first pair is equal; the second pair differs in the last digit.

Question 11: Identify and correct the error: Comparing 9,876,543,210 and 9,876,543,201, a student says the first is smaller because it has more digits.

Answer: Mistake: Both numbers have the same number of digits; compare digit by digit. 9,876,543,210 is greater.