Printable worksheet for comparing decimal numbers, featuring multiple pairs of decimals with blank spaces for selecting the correct comparison symbol.
Comparing Decimals Worksheet with pairs of decimal numbers to compare using >, <, or = signs.
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Show Answer Key & Explanations
Step-by-step solution for: Comparing and Ordering Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Comparing and Ordering Decimals Worksheets - Math Monks
To solve the problem of comparing decimals and choosing the correct sign (`>`, `<`, or `=`), we need to compare each pair of numbers step by step. Here's the detailed solution:
#### Row 1:
1. 4.2 □ 3.9
- Compare the whole numbers first: 4 > 3.
- Therefore, \( 4.2 > 3.9 \).
2. 0.04 □ 0.8
- Compare the tenths place: 0 < 8.
- Therefore, \( 0.04 < 0.8 \).
3. 0.17 □ 0.9
- Compare the tenths place: 1 < 9.
- Therefore, \( 0.17 < 0.9 \).
#### Row 2:
4. 6.72 □ 6.69
- Compare the whole numbers: 6 = 6.
- Compare the tenths place: 7 > 6.
- Therefore, \( 6.72 > 6.69 \).
5. 1.19 □ 1.21
- Compare the whole numbers: 1 = 1.
- Compare the tenths place: 1 < 2.
- Therefore, \( 1.19 < 1.21 \).
6. 2.22 □ 2.02
- Compare the whole numbers: 2 = 2.
- Compare the tenths place: 2 > 0.
- Therefore, \( 2.22 > 2.02 \).
#### Row 3:
7. 3.67 □ 3.68
- Compare the whole numbers: 3 = 3.
- Compare the tenths place: 6 = 6.
- Compare the hundredths place: 7 < 8.
- Therefore, \( 3.67 < 3.68 \).
8. 9.99 □ 9.99
- Compare the whole numbers: 9 = 9.
- Compare the tenths place: 9 = 9.
- Compare the hundredths place: 9 = 9.
- Therefore, \( 9.99 = 9.99 \).
9. 0.02 □ 0.20
- Compare the tenths place: 0 < 2.
- Therefore, \( 0.02 < 0.20 \).
#### Row 4:
10. 8.21 □ 0.821
- Compare the whole numbers: 8 > 0.
- Therefore, \( 8.21 > 0.821 \).
11. 4.4 □ 0.44
- Compare the whole numbers: 4 > 0.
- Therefore, \( 4.4 > 0.44 \).
12. 8.39 □ 8.31
- Compare the whole numbers: 8 = 8.
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 9 > 1.
- Therefore, \( 8.39 > 8.31 \).
#### Row 5:
13. 15.66 □ 14.97
- Compare the whole numbers: 15 > 14.
- Therefore, \( 15.66 > 14.97 \).
14. 7.1 □ 75.1
- Compare the whole numbers: 7 < 75.
- Therefore, \( 7.1 < 75.1 \).
15. 0.3 □ 0.39
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 0 < 9.
- Therefore, \( 0.3 < 0.39 \).
#### Row 6:
16. 6.389 □ 6.379
- Compare the whole numbers: 6 = 6.
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 8 > 7.
- Therefore, \( 6.389 > 6.379 \).
17. 9.576 □ 9.50
- Compare the whole numbers: 9 = 9.
- Compare the tenths place: 5 = 5.
- Compare the hundredths place: 7 > 0.
- Therefore, \( 9.576 > 9.50 \).
18. 8.476 □ 8.806
- Compare the whole numbers: 8 = 8.
- Compare the tenths place: 4 < 8.
- Therefore, \( 8.476 < 8.806 \).
#### Row 7:
19. 6.66 □ 66.6
- Compare the whole numbers: 6 < 66.
- Therefore, \( 6.66 < 66.6 \).
20. 0.05 □ 0.005
- Compare the tenths place: 0 = 0.
- Compare the hundredths place: 5 > 0.
- Therefore, \( 0.05 > 0.005 \).
21. 0.001 □ 0.02
- Compare the tenths place: 0 = 0.
- Compare the hundredths place: 0 < 2.
- Therefore, \( 0.001 < 0.02 \).
\[
\boxed{
\begin{array}{ccc}
4.2 > 3.9 & 0.04 < 0.8 & 0.17 < 0.9 \\
6.72 > 6.69 & 1.19 < 1.21 & 2.22 > 2.02 \\
3.67 < 3.68 & 9.99 = 9.99 & 0.02 < 0.20 \\
8.21 > 0.821 & 4.4 > 0.44 & 8.39 > 8.31 \\
15.66 > 14.97 & 7.1 < 75.1 & 0.3 < 0.39 \\
6.389 > 6.379 & 9.576 > 9.50 & 8.476 < 8.806 \\
6.66 < 66.6 & 0.05 > 0.005 & 0.001 < 0.02 \\
\end{array}
}
\]
Step-by-Step Solution:
#### Row 1:
1. 4.2 □ 3.9
- Compare the whole numbers first: 4 > 3.
- Therefore, \( 4.2 > 3.9 \).
2. 0.04 □ 0.8
- Compare the tenths place: 0 < 8.
- Therefore, \( 0.04 < 0.8 \).
3. 0.17 □ 0.9
- Compare the tenths place: 1 < 9.
- Therefore, \( 0.17 < 0.9 \).
#### Row 2:
4. 6.72 □ 6.69
- Compare the whole numbers: 6 = 6.
- Compare the tenths place: 7 > 6.
- Therefore, \( 6.72 > 6.69 \).
5. 1.19 □ 1.21
- Compare the whole numbers: 1 = 1.
- Compare the tenths place: 1 < 2.
- Therefore, \( 1.19 < 1.21 \).
6. 2.22 □ 2.02
- Compare the whole numbers: 2 = 2.
- Compare the tenths place: 2 > 0.
- Therefore, \( 2.22 > 2.02 \).
#### Row 3:
7. 3.67 □ 3.68
- Compare the whole numbers: 3 = 3.
- Compare the tenths place: 6 = 6.
- Compare the hundredths place: 7 < 8.
- Therefore, \( 3.67 < 3.68 \).
8. 9.99 □ 9.99
- Compare the whole numbers: 9 = 9.
- Compare the tenths place: 9 = 9.
- Compare the hundredths place: 9 = 9.
- Therefore, \( 9.99 = 9.99 \).
9. 0.02 □ 0.20
- Compare the tenths place: 0 < 2.
- Therefore, \( 0.02 < 0.20 \).
#### Row 4:
10. 8.21 □ 0.821
- Compare the whole numbers: 8 > 0.
- Therefore, \( 8.21 > 0.821 \).
11. 4.4 □ 0.44
- Compare the whole numbers: 4 > 0.
- Therefore, \( 4.4 > 0.44 \).
12. 8.39 □ 8.31
- Compare the whole numbers: 8 = 8.
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 9 > 1.
- Therefore, \( 8.39 > 8.31 \).
#### Row 5:
13. 15.66 □ 14.97
- Compare the whole numbers: 15 > 14.
- Therefore, \( 15.66 > 14.97 \).
14. 7.1 □ 75.1
- Compare the whole numbers: 7 < 75.
- Therefore, \( 7.1 < 75.1 \).
15. 0.3 □ 0.39
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 0 < 9.
- Therefore, \( 0.3 < 0.39 \).
#### Row 6:
16. 6.389 □ 6.379
- Compare the whole numbers: 6 = 6.
- Compare the tenths place: 3 = 3.
- Compare the hundredths place: 8 > 7.
- Therefore, \( 6.389 > 6.379 \).
17. 9.576 □ 9.50
- Compare the whole numbers: 9 = 9.
- Compare the tenths place: 5 = 5.
- Compare the hundredths place: 7 > 0.
- Therefore, \( 9.576 > 9.50 \).
18. 8.476 □ 8.806
- Compare the whole numbers: 8 = 8.
- Compare the tenths place: 4 < 8.
- Therefore, \( 8.476 < 8.806 \).
#### Row 7:
19. 6.66 □ 66.6
- Compare the whole numbers: 6 < 66.
- Therefore, \( 6.66 < 66.6 \).
20. 0.05 □ 0.005
- Compare the tenths place: 0 = 0.
- Compare the hundredths place: 5 > 0.
- Therefore, \( 0.05 > 0.005 \).
21. 0.001 □ 0.02
- Compare the tenths place: 0 = 0.
- Compare the hundredths place: 0 < 2.
- Therefore, \( 0.001 < 0.02 \).
Final Answer:
\[
\boxed{
\begin{array}{ccc}
4.2 > 3.9 & 0.04 < 0.8 & 0.17 < 0.9 \\
6.72 > 6.69 & 1.19 < 1.21 & 2.22 > 2.02 \\
3.67 < 3.68 & 9.99 = 9.99 & 0.02 < 0.20 \\
8.21 > 0.821 & 4.4 > 0.44 & 8.39 > 8.31 \\
15.66 > 14.97 & 7.1 < 75.1 & 0.3 < 0.39 \\
6.389 > 6.379 & 9.576 > 9.50 & 8.476 < 8.806 \\
6.66 < 66.6 & 0.05 > 0.005 & 0.001 < 0.02 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet on decimal.