Compare each pair of decimals. Write <, >, or = for the following pairs: 4.1 and 4.11, 3.02 and 3.2, 0.6 and 0.59, 5.87 and 5.7.
Understand the Problem
The question is asking to compare pairs of decimals by determining which is greater, lesser, or if they are equal, using the symbols <, >, or =.
Answer
15. $ 4.1 < 4.11 $ 16. $ 3.02 < 3.2 $ 17. $ 0.6 > 0.59 $ 18. $ 5.87 > 5.7 $
Answer for screen readers
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$ 4.1 < 4.11 $
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$ 3.02 < 3.2 $
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$ 0.6 > 0.59 $
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$ 5.87 > 5.7 $
Steps to Solve
- Compare the first pair: 4.1 and 4.11
First, rewrite 4.1 as 4.10 to have the same number of decimal places. Now compare:
- 4.10
- 4.11
Since 4.10 is less than 4.11, we write: $$ 4.1 < 4.11 $$
- Compare the second pair: 3.02 and 3.2
Rewrite 3.2 as 3.20 for consistency. Now compare:
- 3.02
- 3.20
Since 3.02 is less than 3.20, we write: $$ 3.02 < 3.2 $$
- Compare the third pair: 0.6 and 0.59
Rewrite 0.6 as 0.60 to have the same number of decimal places. Now compare:
- 0.60
- 0.59
Since 0.60 is greater than 0.59, we write: $$ 0.6 > 0.59 $$
- Compare the fourth pair: 5.87 and 5.7
Rewrite 5.7 as 5.70 for consistency. Now compare:
- 5.87
- 5.70
Since 5.87 is greater than 5.70, we write: $$ 5.87 > 5.7 $$
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$ 4.1 < 4.11 $
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$ 3.02 < 3.2 $
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$ 0.6 > 0.59 $
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$ 5.87 > 5.7 $
More Information
Comparing decimals requires aligning the numbers with the same number of decimal places, which makes it easier to identify which is larger or smaller.
Tips
- Not aligning decimals: Always ensure you have the same number of decimal places before comparing.
- Confusing the signs: Remember that a greater number should use the '>' symbol while a lesser number uses '<'.
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