Answer key for a decimal comparison math worksheet.
Answer key for a math worksheet titled "Determining Greatest or Least w/ Decimals," showing multiple-choice questions with correct answers marked in red.
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Step-by-step solution for: comparing decimals Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: comparing decimals Worksheets
Let's solve each problem step by step and explain the reasoning behind the correct answers. The goal is to determine whether a number has the least or greatest value among the given choices in each question.
---
A. 0.23
B. 3.2
C. 20.3
D. 0.32
Analysis:
Compare decimal numbers:
- 0.23 vs. 0.32 → 0.23 < 0.32
- 0.23 is less than all others (since 3.2 and 20.3 are much larger)
✔ Answer: A. 0.23
---
A. 62.7
B. 27.6
C. 72.6
D. 26.7
Analysis:
Compare whole numbers first:
- 26.7 is smallest (26 < 27, 62, 72)
✔ Answer: D. 26.7
---
A. 4.3
B. 4.03
C. 34.0
D. 0.43
Analysis:
Look at the values:
- 0.43 is less than 4.03 and 4.3
- 34.0 is largest
So smallest is 0.43
✔ Answer: D. 0.43
---
A. 1.28
B. 12.8
C. 28.1
D. 2.81
Analysis:
Smallest whole number part: 1.28 → only 1 as whole number
- 1.28 < 2.81 < 12.8 < 28.1
✔ Answer: A. 1.28
---
A. 4.61
B. 6.14
C. 46.1
D. 14.6
Analysis:
Smallest whole number part: 4.61 and 6.14 → compare
- 4.61 < 6.14 < 14.6 < 46.1
✔ Answer: A. 4.61
---
A. 37.1
B. 17.3
C. 71.3
D. 31.7
Analysis:
Smallest whole number: 17.3 → only one with 10s place = 1
- 17.3 < 31.7 < 37.1 < 71.3
✔ Answer: B. 17.3
---
A. 5.81
B. 5.18
C. 18.5
D. 85.1
Analysis:
Compare 5.81 and 5.18:
- 5.18 < 5.81
- Then 18.5 and 85.1 are larger
✔ Answer: B. 5.18
---
A. 4.05
B. 54.0
C. 40.5
D. 0.54
Analysis:
0.54 is clearly smallest (less than 4.05)
- 0.54 < 4.05 < 40.5 < 54.0
✔ Answer: D. 0.54
---
A. 9.86
B. 8.96
C. 96.8
D. 6.89
Analysis:
Smallest whole number: 6.89
- 6.89 < 8.96 < 9.86 < 96.8
✔ Answer: D. 6.89
---
A. 2.38
B. 38.2
C. 3.28
D. 3.82
Analysis:
Largest whole number: 38.2 → clearly biggest
- 38.2 > 3.82 > 3.28 > 2.38
✔ Answer: B. 38.2
---
A. 7.31
B. 3.17
C. 31.7
D. 13.7
Analysis:
Whole numbers: 31.7 is largest
- 31.7 > 13.7 > 7.31 > 3.17
✔ Answer: C. 31.7
---
A. 3.21
B. 1.23
C. 21.3
D. 31.2
Analysis:
Compare whole parts: 31.2 > 21.3 > 3.21 > 1.23
✔ Answer: D. 31.2
---
A. 21.8
B. 8.12
C. 2.18
D. 2.81
Analysis:
21.8 is largest (whole number 21)
- 21.8 > 8.12 > 2.81 > 2.18
✔ Answer: A. 21.8
---
A. 72.8
B. 82.7
C. 2.87
D. 27.8
Analysis:
Compare whole numbers:
- 82.7 > 72.8 > 27.8 > 2.87
✔ Answer: B. 82.7
---
A. 5.13
B. 5.31
C. 1.35
D. 1.53
Analysis:
Compare 5.13 and 5.31:
- 5.31 > 5.13
- Both larger than 1.35 and 1.53
✔ Answer: B. 5.31
---
A. 9.52
B. 2.95
C. 52.9
D. 9.25
Analysis:
52.9 is largest (whole number 52)
- 52.9 > 9.52 > 9.25 > 2.95
✔ Answer: C. 52.9
---
A. 42.9
B. 24.9
C. 2.49
D. 29.4
Analysis:
Compare whole numbers:
- 42.9 > 29.4 > 24.9 > 2.49
✔ Answer: A. 42.9
---
A. 9.67
B. 76.9
C. 97.6
D. 67.9
Analysis:
Compare whole numbers:
- 97.6 > 76.9 > 67.9 > 9.67
✔ Answer: C. 97.6
---
| Q | Answer | Explanation |
|---|--------|-------------|
| 1 | A | 0.23 is smallest |
| 2 | D | 26.7 is smallest |
| 3 | D | 0.43 is smallest |
| 4 | A | 1.28 is smallest |
| 5 | A | 4.61 is smallest |
| 6 | B | 17.3 is smallest |
| 7 | B | 5.18 < 5.81 |
| 8 | D | 0.54 is smallest |
| 9 | D | 6.89 is smallest |
|10 | B | 38.2 is largest |
|11 | C | 31.7 is largest |
|12 | D | 31.2 is largest |
|13 | A | 21.8 is largest |
|14 | B | 82.7 is largest |
|15 | B | 5.31 > 5.13 |
|16 | C | 52.9 is largest |
|17 | A | 42.9 is largest |
|18 | C | 97.6 is largest |
This matches the provided answer key.
✔ All answers are correct.
---
Problem 1: Which number has the least value?
A. 0.23
B. 3.2
C. 20.3
D. 0.32
Analysis:
Compare decimal numbers:
- 0.23 vs. 0.32 → 0.23 < 0.32
- 0.23 is less than all others (since 3.2 and 20.3 are much larger)
✔ Answer: A. 0.23
---
Problem 2: Which number has the least value?
A. 62.7
B. 27.6
C. 72.6
D. 26.7
Analysis:
Compare whole numbers first:
- 26.7 is smallest (26 < 27, 62, 72)
✔ Answer: D. 26.7
---
Problem 3: Which number has the least value?
A. 4.3
B. 4.03
C. 34.0
D. 0.43
Analysis:
Look at the values:
- 0.43 is less than 4.03 and 4.3
- 34.0 is largest
So smallest is 0.43
✔ Answer: D. 0.43
---
Problem 4: Which number has the least value?
A. 1.28
B. 12.8
C. 28.1
D. 2.81
Analysis:
Smallest whole number part: 1.28 → only 1 as whole number
- 1.28 < 2.81 < 12.8 < 28.1
✔ Answer: A. 1.28
---
Problem 5: Which number has the least value?
A. 4.61
B. 6.14
C. 46.1
D. 14.6
Analysis:
Smallest whole number part: 4.61 and 6.14 → compare
- 4.61 < 6.14 < 14.6 < 46.1
✔ Answer: A. 4.61
---
Problem 6: Which number has the least value?
A. 37.1
B. 17.3
C. 71.3
D. 31.7
Analysis:
Smallest whole number: 17.3 → only one with 10s place = 1
- 17.3 < 31.7 < 37.1 < 71.3
✔ Answer: B. 17.3
---
Problem 7: Which number has the least value?
A. 5.81
B. 5.18
C. 18.5
D. 85.1
Analysis:
Compare 5.81 and 5.18:
- 5.18 < 5.81
- Then 18.5 and 85.1 are larger
✔ Answer: B. 5.18
---
Problem 8: Which number has the least value?
A. 4.05
B. 54.0
C. 40.5
D. 0.54
Analysis:
0.54 is clearly smallest (less than 4.05)
- 0.54 < 4.05 < 40.5 < 54.0
✔ Answer: D. 0.54
---
Problem 9: Which number has the least value?
A. 9.86
B. 8.96
C. 96.8
D. 6.89
Analysis:
Smallest whole number: 6.89
- 6.89 < 8.96 < 9.86 < 96.8
✔ Answer: D. 6.89
---
Problem 10: Which number has the greatest value?
A. 2.38
B. 38.2
C. 3.28
D. 3.82
Analysis:
Largest whole number: 38.2 → clearly biggest
- 38.2 > 3.82 > 3.28 > 2.38
✔ Answer: B. 38.2
---
Problem 11: Which number has the greatest value?
A. 7.31
B. 3.17
C. 31.7
D. 13.7
Analysis:
Whole numbers: 31.7 is largest
- 31.7 > 13.7 > 7.31 > 3.17
✔ Answer: C. 31.7
---
Problem 12: Which number has the greatest value?
A. 3.21
B. 1.23
C. 21.3
D. 31.2
Analysis:
Compare whole parts: 31.2 > 21.3 > 3.21 > 1.23
✔ Answer: D. 31.2
---
Problem 13: Which number has the greatest value?
A. 21.8
B. 8.12
C. 2.18
D. 2.81
Analysis:
21.8 is largest (whole number 21)
- 21.8 > 8.12 > 2.81 > 2.18
✔ Answer: A. 21.8
---
Problem 14: Which number has the greatest value?
A. 72.8
B. 82.7
C. 2.87
D. 27.8
Analysis:
Compare whole numbers:
- 82.7 > 72.8 > 27.8 > 2.87
✔ Answer: B. 82.7
---
Problem 15: Which number has the greatest value?
A. 5.13
B. 5.31
C. 1.35
D. 1.53
Analysis:
Compare 5.13 and 5.31:
- 5.31 > 5.13
- Both larger than 1.35 and 1.53
✔ Answer: B. 5.31
---
Problem 16: Which number has the greatest value?
A. 9.52
B. 2.95
C. 52.9
D. 9.25
Analysis:
52.9 is largest (whole number 52)
- 52.9 > 9.52 > 9.25 > 2.95
✔ Answer: C. 52.9
---
Problem 17: Which number has the greatest value?
A. 42.9
B. 24.9
C. 2.49
D. 29.4
Analysis:
Compare whole numbers:
- 42.9 > 29.4 > 24.9 > 2.49
✔ Answer: A. 42.9
---
Problem 18: Which number has the greatest value?
A. 9.67
B. 76.9
C. 97.6
D. 67.9
Analysis:
Compare whole numbers:
- 97.6 > 76.9 > 67.9 > 9.67
✔ Answer: C. 97.6
---
✔ Final Answer Key:
| Q | Answer | Explanation |
|---|--------|-------------|
| 1 | A | 0.23 is smallest |
| 2 | D | 26.7 is smallest |
| 3 | D | 0.43 is smallest |
| 4 | A | 1.28 is smallest |
| 5 | A | 4.61 is smallest |
| 6 | B | 17.3 is smallest |
| 7 | B | 5.18 < 5.81 |
| 8 | D | 0.54 is smallest |
| 9 | D | 6.89 is smallest |
|10 | B | 38.2 is largest |
|11 | C | 31.7 is largest |
|12 | D | 31.2 is largest |
|13 | A | 21.8 is largest |
|14 | B | 82.7 is largest |
|15 | B | 5.31 > 5.13 |
|16 | C | 52.9 is largest |
|17 | A | 42.9 is largest |
|18 | C | 97.6 is largest |
This matches the provided answer key.
✔ All answers are correct.
Parent Tip: Review the logic above to help your child master the concept of equivalent decimals worksheet 5th grade.
