Question 1: Arrange the following decimals in ascending order: 0.56, 0.065, 0.506, 0.605.

Answer: 0.065, 0.506, 0.56, 0.605

Question 2: Order these decimals from largest to smallest: 0.9, 0.89, 0.908, 0.9008.

Answer: 0.908, 0.9, 0.9008, 0.89

Question 3: Compare 0.75 and 0.7503. Which is greater?

Answer: 0.7503

Question 4: Place the decimals 0.1234, 0.12345, 0.123, and 0.124 in order from smallest to largest.

Answer: 0.123, 0.1234, 0.124, 0.12345

Question 1: A student claims that 0.7 is less than 0.65. Is this correct? Justify your answer.

Answer: No, 0.7 is greater than 0.65 because 0.7 is equivalent to 0.700 which is larger than 0.650.

Question 2: A race car travels 0.245 km in one lap, and another car travels 0.254 km. Which car traveled farther? Explain how you determined this.

Answer: The second car traveled farther because 0.254 is greater than 0.245. I compared the digits from left to right after the decimal.

Question 3: A decimal mistake involves ordering 0.3, 0.30, and 0.300 incorrectly. Describe the common misconception and correct it.

Answer: Some think 0.3, 0.30, and 0.300 are different, but they are all equal. The misconception is thinking more zeros mean a larger number.

Question 1: A store has prices: $4.99, $4.909, $5.09, and $4.990. Arrange these prices from lowest to highest.

Answer: $4.909, $4.990, $4.99, $5.09

Question 2: A student scores: 87.6%, 87.60%, 87.600%. Which is the highest score and why?

Answer: All are equal; adding zeros after the decimal does not change the value.

Question 1: Construct a set of three decimals between 0.4 and 0.5 that are ordered correctly from smallest to largest.

Answer: e.g., 0.401, 0.45, 0.499

Question 2: Identify the mistake in the following ordering: 0.56, 0.565, 0.561, 0.58. Correct the order.

Answer: The mistake is placing 0.561 before 0.565. Correct order: 0.56, 0.561, 0.565, 0.58.

Question 1: A student ordered 0.85, 0.8, 0.88, 0.83 as 0.8, 0.83, 0.85, 0.88. What mistake did they make? How would you correct it?

Answer: They compared the first digit after the decimal without considering the second digit. Correct order considers all decimal digits: 0.8, 0.83, 0.85, 0.88.

Question 2: Identify and correct the mistake: Comparing 0.9 and 0.99, a student says 0.9 is greater. Is this correct? Explain.

Answer: Incorrect; 0.99 is greater than 0.9 because 0.99 equals 0.990 which is larger than 0.900.