Comparing Decimals Worksheets - Free Printable
Educational worksheet: Comparing Decimals Worksheets. Download and print for classroom or home learning activities.
PNG
200×260
7.1 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1305033
⭐
Show Answer Key & Explanations
Step-by-step solution for: Comparing Decimals Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Comparing Decimals Worksheets
To solve the problem of comparing each pair of decimals using the symbols \( > \), \( < \), or \( = \), we need to carefully compare the numbers digit by digit, starting from the leftmost digit. Here's a step-by-step explanation and solution for each pair:
---
- Both numbers start with 43.
- Moving to the next digit: 43.52 vs. 43.512.
- The tenths place is the same (5).
- Moving to the hundredths place: 43.52 vs. 43.512.
- Since 2 > 1, 43.52 > 43.512.
Answer: \( > \)
---
- Both numbers are identical up to the thousandths place.
- Adding zeros after a decimal does not change its value.
- Therefore, 18.69 = 18.690.
Answer: \( = \)
---
- Both numbers start with 43.
- Moving to the next digit: 43.1 vs. 43.09.
- Since 1 > 0, 43.1 > 43.09.
Answer: \( > \)
---
- Both numbers start with 21.7.
- Moving to the next digit: 21.7 vs. 21.75.
- Since there are no digits in 21.7 after the tenths place, it is less than 21.75.
- Therefore, 21.7 < 21.75.
Answer: \( < \)
---
- Both numbers start with 5.
- Moving to the next digit: 5.17 vs. 5.4.
- Since 1 < 4, 5.17 < 5.4.
Answer: \( < \)
---
- The whole number part of 61.10 is greater than the whole number part of 59.35.
- Therefore, 61.10 > 59.35.
Answer: \( > \)
---
- The whole number part of 42.31 is greater than the whole number part of 38.73.
- Therefore, 42.31 > 38.73.
Answer: \( > \)
---
- Both numbers start with 25.
- Moving to the next digit: 25.6 vs. 25.9.
- Since 6 < 9, 25.6 < 25.9.
Answer: \( < \)
---
- Both numbers are identical.
- Therefore, 24.5 = 24.5.
Answer: \( = \)
---
- The whole number part of 7.7 is less than the whole number part of 9.5.
- Therefore, 7.7 < 9.5.
Answer: \( < \)
---
- Both numbers start with 36.
- Moving to the next digit: 36.62 vs. 36.4.
- Since 6 > 4, 36.62 > 36.4.
Answer: \( > \)
---
- Both numbers start with 29.
- Moving to the next digit: 29.3 vs. 29.72.
- Since 3 < 7, 29.3 < 29.72.
Answer: \( < \)
---
- Both numbers start with 12.
- Moving to the next digit: 12.7 vs. 12.8.
- Since 7 < 8, 12.7 < 12.8.
Answer: \( < \)
---
- The whole number part of 6.1 is greater than the whole number part of 0.1.
- Therefore, 6.1 > 0.1.
Answer: \( > \)
---
- Both numbers are identical.
- Therefore, 63.24 = 63.24.
Answer: \( = \)
---
- Both numbers are identical.
- Therefore, 162 = 162.
Answer: \( = \)
---
- Both numbers start with 283.
- Moving to the next digit: 283.5 vs. 283.3.
- Since 5 > 3, 283.5 > 283.3.
Answer: \( > \)
---
\[
\boxed{
\begin{array}{ll}
1. & > \\
2. & = \\
3. & > \\
4. & < \\
5. & < \\
6. & > \\
7. & > \\
8. & < \\
9. & = \\
10. & < \\
11. & > \\
12. & < \\
13. & < \\
14. & > \\
15. & = \\
16. & = \\
17. & >
\end{array}
}
\]
---
1. Compare 43.52 and 43.512
- Both numbers start with 43.
- Moving to the next digit: 43.52 vs. 43.512.
- The tenths place is the same (5).
- Moving to the hundredths place: 43.52 vs. 43.512.
- Since 2 > 1, 43.52 > 43.512.
Answer: \( > \)
---
2. Compare 18.69 and 18.690
- Both numbers are identical up to the thousandths place.
- Adding zeros after a decimal does not change its value.
- Therefore, 18.69 = 18.690.
Answer: \( = \)
---
3. Compare 43.1 and 43.09
- Both numbers start with 43.
- Moving to the next digit: 43.1 vs. 43.09.
- Since 1 > 0, 43.1 > 43.09.
Answer: \( > \)
---
4. Compare 21.7 and 21.75
- Both numbers start with 21.7.
- Moving to the next digit: 21.7 vs. 21.75.
- Since there are no digits in 21.7 after the tenths place, it is less than 21.75.
- Therefore, 21.7 < 21.75.
Answer: \( < \)
---
5. Compare 5.17 and 5.4
- Both numbers start with 5.
- Moving to the next digit: 5.17 vs. 5.4.
- Since 1 < 4, 5.17 < 5.4.
Answer: \( < \)
---
6. Compare 61.10 and 59.35
- The whole number part of 61.10 is greater than the whole number part of 59.35.
- Therefore, 61.10 > 59.35.
Answer: \( > \)
---
7. Compare 42.31 and 38.73
- The whole number part of 42.31 is greater than the whole number part of 38.73.
- Therefore, 42.31 > 38.73.
Answer: \( > \)
---
8. Compare 25.6 and 25.9
- Both numbers start with 25.
- Moving to the next digit: 25.6 vs. 25.9.
- Since 6 < 9, 25.6 < 25.9.
Answer: \( < \)
---
9. Compare 24.5 and 24.5
- Both numbers are identical.
- Therefore, 24.5 = 24.5.
Answer: \( = \)
---
10. Compare 7.7 and 9.5
- The whole number part of 7.7 is less than the whole number part of 9.5.
- Therefore, 7.7 < 9.5.
Answer: \( < \)
---
11. Compare 36.62 and 36.4
- Both numbers start with 36.
- Moving to the next digit: 36.62 vs. 36.4.
- Since 6 > 4, 36.62 > 36.4.
Answer: \( > \)
---
12. Compare 29.3 and 29.72
- Both numbers start with 29.
- Moving to the next digit: 29.3 vs. 29.72.
- Since 3 < 7, 29.3 < 29.72.
Answer: \( < \)
---
13. Compare 12.7 and 12.8
- Both numbers start with 12.
- Moving to the next digit: 12.7 vs. 12.8.
- Since 7 < 8, 12.7 < 12.8.
Answer: \( < \)
---
14. Compare 6.1 and 0.1
- The whole number part of 6.1 is greater than the whole number part of 0.1.
- Therefore, 6.1 > 0.1.
Answer: \( > \)
---
15. Compare 63.24 and 63.24
- Both numbers are identical.
- Therefore, 63.24 = 63.24.
Answer: \( = \)
---
16. Compare 162 and 162
- Both numbers are identical.
- Therefore, 162 = 162.
Answer: \( = \)
---
17. Compare 283.5 and 283.3
- Both numbers start with 283.
- Moving to the next digit: 283.5 vs. 283.3.
- Since 5 > 3, 283.5 > 283.3.
Answer: \( > \)
---
Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & > \\
2. & = \\
3. & > \\
4. & < \\
5. & < \\
6. & > \\
7. & > \\
8. & < \\
9. & = \\
10. & < \\
11. & > \\
12. & < \\
13. & < \\
14. & > \\
15. & = \\
16. & = \\
17. & >
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet.
