This Grade 5 easy worksheet introduces comparing decimals to the tenths place using the symbols greater than, less than, and equal to. Students work with number lines, identify which tenths value is larger, and explain why annexing a zero keeps a decimal the same. Short answers reinforce place value vocabulary and prepare learners for hundredths and thousandths comparisons in later sheets within this Grade 5 sequence.
Style:
Comparing and Ordering Decimals
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
0.4 is greater than 0.7 because 4 comes before 7.
Rewrite: 0.4 is less than 0.7 because 4 tenths is fewer than 7 tenths.
2. Fix the sentence:
On a number line 0.3 sits to the right of 0.8.
Rewrite: On a number line 0.3 sits to the left of 0.8.
3. Fix the sentence:
The symbol 0.5 < 0.5 shows the two decimals are equal.
Rewrite: The symbol 0.5 = 0.5 shows the two decimals are equal.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Compare using >, <, or =: 0.6 > 0.2.
2. Compare using >, <, or =: 0.3 < 0.9.
3. Compare using >, <, or =: 0.7 = 0.7.
4. On a number line from 0 to 1, the decimal that lies to the right of 0.5 is 0 .8.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how a Grade 5 student can use a number line to decide whether 0.4 or 0.7 is greater.
I plot both decimals between 0 and 1 by splitting the line into ten equal tenths. 0.4 lands at the fourth mark and 0.7 lands at the seventh mark. Since 0.7 is farther to the right, it is greater than 0.4.
2. Why is 0.5 equal to 0.50? Use Grade 5 place value language.
Both decimals have 5 in the tenths place. Annexing a zero in the hundredths place of 0.5 gives 0.50, but it adds zero hundredths, so the value does not change. That is why 0.5 = 0.50.
Comparing and Ordering Decimals
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
0.4 is greater than 0.7 because 4 comes before 7.
Rewrite: 0.4 is less than 0.7 because 4 tenths is fewer than 7 tenths.
2) Fix the sentence:
On a number line 0.3 sits to the right of 0.8.
Rewrite: On a number line 0.3 sits to the left of 0.8.
3) Fix the sentence:
The symbol 0.5 < 0.5 shows the two decimals are equal.
Rewrite: The symbol 0.5 = 0.5 shows the two decimals are equal.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Compare using >, <, or =: 0.6 > 0.2.
2) Compare using >, <, or =: 0.3 < 0.9.
3) Compare using >, <, or =: 0.7 = 0.7.
4) On a number line from 0 to 1, the decimal that lies to the right of 0.5 is 0 .8.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Explain how a Grade 5 student can use a number line to decide whether 0.4 or 0.7 is greater.
I plot both decimals between 0 and 1 by splitting the line into ten equal tenths. 0.4 lands at the fourth mark and 0.7 lands at the seventh mark. Since 0.7 is farther to the right, it is greater than 0.4.
2) Why is 0.5 equal to 0.50? Use Grade 5 place value language.
Both decimals have 5 in the tenths place. Annexing a zero in the hundredths place of 0.5 gives 0.50, but it adds zero hundredths, so the value does not change. That is why 0.5 = 0.50.
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15-20 minutes
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