Question 1: Arrange the following decimals in increasing order: 4.382, 4.823, 4.238.

Answer: 4.238, 4.382, 4.823

Question 2: Compare 3.645 and 3.654. Which is larger? Show your working.

Answer: 3.654 is larger because 3.654 > 3.645

Question 3: Order these decimals from smallest to largest: 2.789, 2.798, 2.879.

Answer: 2.789, 2.798, 2.879

Question 4: Construct a comparison between 5.666 and 5.661, indicating which is greater and why.

Answer: 5.666 is greater because 5.666 > 5.661 due to the third decimal place.

Question 5: Order these decimals: 9.999, 9.9999, 9.99999. Which is the smallest? Which is the largest?

Answer: Smallest: 9.999; Largest: 9.99999

Question 6: A store stocks items priced at $12.34, $12.43, and $12.34. Order these prices from lowest to highest.

Answer: $12.34, $12.34, $12.43

Question 7: Identify the mistake in ordering these decimals: 6.789, 6.879, 6.987, and correct the order.

Answer: Incorrect order: 6.789, 6.879, 6.987 (correct order: 6.789, 6.879, 6.987). The mistake was in the arrangement; the original order was correct, so students should check the comparison of the third decimal digit.

Question 8: Order these decimals: 8.888, 8.881, 8.8888, 8.880. Which are equal in value? Which is greatest?

Answer: 8.888 and 8.8888 are not equal; 8.8888 is greatest.

Question 9: Using a calculator, verify whether 7.777 and 7.7777 are approximately equal in value. Show the calculation.

Answer: 7.777 ≈ 7.7777; 7.7777 is slightly larger.

Question 10: Order these decimals: 0.9999, 1.0000, 0.99999. Provide reasoning for the order.

Answer: Order: 0.99999, 0.9999, 1.0000. 0.99999 < 0.9999 < 1.0000 because 0.99999 is closest to 1 but less than it, and 1.0000 equals 1.

Question 11: Challenge: Construct three decimals with the same digit count that order from largest to smallest: 3.456, 3.465, 3.546.

Answer: 3.546, 3.465, 3.456