Question 1: Arrange the following decimals in ascending order: 3.456, 3.465, 3.546, 3.564.

Answer: 3.456, 3.465, 3.546, 3.564

Question 2: Compare 0.789 and 0.798. Which is greater? Explain your reasoning.

Answer: 0.798 is greater because at the hundredths place, 9 > 8

Question 3: Order these decimals from largest to smallest: 7.123, 7.132, 7.213, 7.231.

Answer: 7.231, 7.213, 7.132, 7.123

Question 4: On the number line, plot the decimal 2.479 and 2.497. Which is closer to 2.48? Show your work.

Answer: 2.479 is closer to 2.48 because it is only 0.001 away, while 2.497 is 0.017 away.

Question 5: Identify the mistake: Comparing 0.65 and 0.605, a student says 0.65 < 0.605. Is this correct? Why or why not?

Answer: Incorrect. 0.65 is greater than 0.605 because at the hundredths place, 5 > 0.

Question 6: Order the following decimals: 0.9, 0.99, 0.999, 0.9999.

Answer: 0.9, 0.99, 0.999, 0.9999

Question 7: If you have the decimals 4.56, 4.565, 4.556, and 4.651, order them from least to greatest.

Answer: 4.556, 4.56, 4.565, 4.651

Question 8: A student compares 5.04 and 5.4 and concludes that 5.04 > 5.4. Is this correct? Explain.

Answer: Incorrect. 5.04 is less than 5.4 because 4 hundredths is less than 4 tenths.

Question 9: Construct a number line and plot the decimals 0.123, 0.132, 0.213, 0.231. Then order them from smallest to largest.

Answer: 0.123, 0.132, 0.213, 0.231

Question 10: Order the following in ascending order: 9.01, 9.1, 9.001, 9.0001.

Answer: 9.0001, 9.001, 9.01, 9.1

Question 11: A common mistake is to compare only the first digit after the decimal. Example: students think 0.8 > 0.75 because 8 > 7. Why is this wrong? How should decimals be compared?

Answer: This is wrong because decimals need to be compared digit by digit from left to right, considering each decimal place. 0.75 > 0.8 is false; 0.8 > 0.75 is correct because 8 > 7 in the tenths place.