Comparing and Ordering Decimals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Compare using >, <, or =: 0.34 = 0.340.
Grade 5 students see 0.34 = 0.340 because the extra digit is a zero in the thousandths place.
2. Compare using >, <, or =: 0.6 > 0.59.
Grade 5 learners compare 0.60 and 0.59. Six tenths is greater than five tenths, so 0.6 > 0.59.
3. Compare using >, <, or =: 0.205 < 0.25.
Grade 5 students rewrite 0.25 as 0.250, then see 0.205 < 0.250 because 0 hundredths is less than 5 hundredths.
4. Compare using >, <, or =: 0.111 > 0.110.
Grade 5: 1 thousandth is greater than 0 thousandths, so 0.111 > 0.110.
5. Compare using >, <, or =: 0.080 = 0.08.
Grade 5 students write 0.08 = 0.080 because annexing a zero leaves the value unchanged.
6. Compare using >, <, or =: 0.475 = 0.475.
Identical decimals are equal — 0.475 equals 0.475 by place value.
7. Compare using >, <, or =: 0.9 > 0.899.
Grade 5 students compare 0.900 and 0.899. Since 9 hundredths > 8 hundredths, 0.9 > 0.899.
8. Compare using >, <, or =: 0.034 < 0.043.
Grade 5: 3 hundredths is less than 4 hundredths, so 0.034 < 0.043.
9. Annex zeros: 0.7 = 0.7 0 0.
Grade 5 students write 0.700 to extend 0.7 to thousandths without changing its value.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Compare 0.7 and 0.700
→ 0.7 = 0.700
0.7 = 0.700
Compare 0.402 and 0.42
→ 0.402 < 0.42
0.402 < 0.42
Compare 0.156 and 0.165
→ 0.156 < 0.165
0.156 < 0.165
Compare 0.9 and 0.89
→ 0.9 > 0.89
0.9 > 0.89
Grade 5 students align decimals to the same place value to compare safely without misreading digit counts.