Comparing and Ordering Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Four runners finished a Grade 5 race in 12.4, 12.40, 12.04, and 12.44 seconds. Which list orders their times from fastest to slowest?
A) 12.04, 12.4, 12.40, 12.44
B) 12.04, 12.40, 12.4, 12.44
C) 12.44, 12.4, 12.40, 12.04
D) 12.4, 12.04, 12.40, 12.44
Grade 5 students rewrite as 12.04, 12.40, 12.40, 12.44. The smallest is 12.04 and the largest is 12.44, so the ascending order is 12.04, 12.4, 12.40, 12.44.
2. A Grade 5 store lists pencils at $0.45, $0.405, $0.5, and $0.45. Which decimal shows the highest price?
A) $0.405
B) $0.45
C) $0.450
D) $0.5
Grade 5 students rewrite the prices as 0.450, 0.405, 0.500, 0.450. The largest is 0.500, so $0.5 is the highest price.
3. Order the decimals 0.6, 0.06, 0.66, and 0.606 from least to greatest.
A) 0.06, 0.6, 0.606, 0.66
B) 0.06, 0.606, 0.6, 0.66
C) 0.66, 0.606, 0.6, 0.06
D) 0.06, 0.6, 0.66, 0.606
Grade 5: 0.060, 0.600, 0.660, 0.606. Sorted ascending gives 0.060, 0.600, 0.606, 0.660, which matches 0.06, 0.6, 0.606, 0.66.
4. Four Grade 5 long jumpers leaped 2.35 m, 2.305 m, 2.5 m, and 2.05 m. Who jumped the farthest?
A) 2.05 m
B) 2.305 m
C) 2.35 m
D) 2.5 m
Grade 5 learners rewrite as 2.350, 2.305, 2.500, 2.050. The largest tenths digit is 5 in 2.500, so 2.5 m is the farthest jump.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Order from least to greatest: 0.7, 0.07, 0.77 -> 0.07, 0.7, 0. 7 7.
Grade 5 students see ascending order is 0.07, 0.70, 0.77, so the last decimal is 0.77.
2. Three Grade 5 prices are $0.25, $0.205, and $0.5. The least price is $0. 2 05.
Grade 5: 0.250, 0.205, 0.500. The least is 0.205, so the missing tenths digit is 2.
3. In ascending order, 0.4, 0.44, 0.404 starts with 0. 4 04.
Grade 5 students annex zeros to get 0.400, 0.440, 0.404, then sort to 0.400, 0.404, 0.440. The first decimal is 0.400, which begins with 0.4, but with hundredths shown as 0.404, the smallest written form starts with 0.404 -> first digit after the point is 4.
4. In descending order, 0.85, 0.805, 0.85 0 ends with 0.805.
Grade 5 students see 0.850, 0.805, 0.850. Greatest to least is 0.850, 0.850, 0.805, so the last decimal ends in 0.805.
5. Order 0.3, 0.33, 0.303, 0.330 from greatest to least: 0.33 = 0.330, then 0.303, then 0. 3 .
Grade 5: 0.300, 0.330, 0.303, 0.330. Descending order is 0.330, 0.330, 0.303, 0.300, so the last decimal is 0.3.