Grade 5 learners order four decimals from least to greatest and visualize results on a number line. They pad decimals to a common place — tenths, hundredths, or thousandths — then compare digits in sequence to determine ascending order. Activities include sentence correction, fill-in, and short answer prompts that reinforce magnitude reasoning, equivalent decimals, and number line placement aligned to the 5.NBT.3b standard.
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Comparing and Ordering Decimals
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The decimals 0.4, 0.04, 0.44, and 0.404 in ascending order are 0.04, 0.4, 0.44, 0.404.
Rewrite: The decimals 0.4, 0.04, 0.44, and 0.404 in ascending order are 0.04, 0.4, 0.404, 0.44.
2. Fix the sentence:
When ordering 0.7, 0.17, 0.71, 0.07 from least to greatest, the sequence is 0.07, 0.7, 0.17, 0.71.
Rewrite: When ordering 0.7, 0.17, 0.71, 0.07 from least to greatest, the sequence is 0.07, 0.17, 0.7, 0.71.
3. Fix the sentence:
The smallest decimal among 0.5, 0.55, 0.05, 0.505 is 0.505 because it has the most digits.
Rewrite: The smallest decimal among 0.5, 0.55, 0.05, 0.505 is 0.05 because it has the smallest tenths place.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Order 0.3, 0.31, 0.13, 0.03 from least to greatest. The smallest decimal is 0.03.
2. Place 0.6, 0.06, 0.66, 0.606 on a number line. The greatest decimal is 0.66.
3. Arrange 1.2, 1.02, 1.22, 1.202 in ascending order. The decimal that comes second is 1.2.
4. On a number line from 0 to 1, between 0.4 and 0.5 you would place 0.45.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Order 0.8, 0.08, 0.88, 0.808 from least to greatest. Show how you used place value to decide.
The ascending order is 0.08, 0.808, 0.88, 0.8 padded equals 0.800, so the full sequence is 0.080, 0.800, 0.808, 0.880. I padded each decimal to thousandths and compared the tenths, hundredths, then thousandths places.
2. Plot 0.2, 0.25, 0.5, 0.05 on a number line from 0 to 1. Which decimal is closest to 0, and which is closest to 1?
0.05 is closest to 0 because it has 0 tenths and only 5 hundredths. 0.5 is closest to 1 because it has 5 tenths, the largest tenths value in the group, giving it the greatest magnitude.
Comparing and Ordering Decimals
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
The decimals 0.4, 0.04, 0.44, and 0.404 in ascending order are 0.04, 0.4, 0.44, 0.404.
Rewrite: The decimals 0.4, 0.04, 0.44, and 0.404 in ascending order are 0.04, 0.4, 0.404, 0.44.
2) Fix the sentence:
When ordering 0.7, 0.17, 0.71, 0.07 from least to greatest, the sequence is 0.07, 0.7, 0.17, 0.71.
Rewrite: When ordering 0.7, 0.17, 0.71, 0.07 from least to greatest, the sequence is 0.07, 0.17, 0.7, 0.71.
3) Fix the sentence:
The smallest decimal among 0.5, 0.55, 0.05, 0.505 is 0.505 because it has the most digits.
Rewrite: The smallest decimal among 0.5, 0.55, 0.05, 0.505 is 0.05 because it has the smallest tenths place.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Order 0.3, 0.31, 0.13, 0.03 from least to greatest. The smallest decimal is 0.03.
2) Place 0.6, 0.06, 0.66, 0.606 on a number line. The greatest decimal is 0.66.
3) Arrange 1.2, 1.02, 1.22, 1.202 in ascending order. The decimal that comes second is 1.2.
4) On a number line from 0 to 1, between 0.4 and 0.5 you would place 0.45.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Order 0.8, 0.08, 0.88, 0.808 from least to greatest. Show how you used place value to decide.
The ascending order is 0.08, 0.808, 0.88, 0.8 padded equals 0.800, so the full sequence is 0.080, 0.800, 0.808, 0.880. I padded each decimal to thousandths and compared the tenths, hundredths, then thousandths places.
2) Plot 0.2, 0.25, 0.5, 0.05 on a number line from 0 to 1. Which decimal is closest to 0, and which is closest to 1?
0.05 is closest to 0 because it has 0 tenths and only 5 hundredths. 0.5 is closest to 1 because it has 5 tenths, the largest tenths value in the group, giving it the greatest magnitude.
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