Comparing and Ordering Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Order the Grade 5 swim times 23.06 s, 23.6 s, 23.006 s, and 23.66 s from fastest to slowest.
A) 23.006, 23.06, 23.6, 23.66
B) 23.06, 23.006, 23.6, 23.66
C) 23.66, 23.6, 23.06, 23.006
D) 23.006, 23.6, 23.06, 23.66
Grade 5 students rewrite as 23.006, 23.060, 23.600, 23.660. Ascending (fastest) order is 23.006, 23.06, 23.6, 23.66.
2. Which Grade 5 decimal list is in descending order?
A) 0.9, 0.89, 0.899, 0.809
B) 0.9, 0.899, 0.89, 0.809
C) 0.809, 0.89, 0.899, 0.9
D) 0.899, 0.9, 0.89, 0.809
Grade 5: 0.900, 0.899, 0.890, 0.809 is sorted greatest to least, matching 0.9, 0.899, 0.89, 0.809.
3. A Grade 5 cup costs $1.205, a juice $1.25, a snack $1.2, and a fruit $1.250. Which two prices are equal?
A) $1.205 and $1.25
B) $1.25 and $1.250
C) $1.2 and $1.205
D) $1.2 and $1.25
Grade 5 students see $1.25 = $1.250 because the trailing zero adds zero thousandths.
4. Order 0.501, 0.51, 0.5, 0.510 from least to greatest.
A) 0.5, 0.501, 0.51, 0.510
B) 0.5, 0.501, 0.510, 0.51
C) 0.5, 0.501, 0.51 = 0.510
D) 0.501, 0.5, 0.51, 0.510
Grade 5: 0.500, 0.501, 0.510, 0.510. Ascending order with the equal pair shown is 0.5, 0.501, 0.51 = 0.510.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Compare using >, <, or =: 4.305 < 4.35.
Grade 5 students rewrite as 4.305 and 4.350. Since 0 hundredths is less than 5 hundredths, 4.305 < 4.35.
2. Order from greatest to least: 0.808, 0.88, 0.8, 0.088. The greatest is 0. 8 8.
Grade 5 learners see 0.880, 0.808, 0.800, 0.088. Greatest is 0.88, which begins with 0.88.
3. In a Grade 5 race, times are 9.05 s, 9.5 s, 9.005 s. The fastest time is 9. 0 05 s.
Grade 5: 9.050, 9.500, 9.005. The smallest is 9.005, which starts with 9.005.
4. Annex zeros: 6.4 = 6. 4 00.
Grade 5 students write 6.400 to align with thousandths; the 4 stays in the tenths place.
5. Order ascending: 0.121, 0.12, 0.112, 0.211. The least decimal is 0.1 1 2.
Grade 5: 0.121, 0.120, 0.112, 0.211. Smallest is 0.112, which has a 1 in the hundredths place.