What is the ascending order of (5.005), (5.0505), (5.0055), and (5.500)?
Answer and explanation
Correct answer: \(5.005<5.0055<5.0505<5.500\)
Write the numbers with equal decimal places: \(5.0050,\ 5.0055,\ 5.0505,\ 5.5000\). In \(5.0050\) and \(5.0055\), the thousandths digit is 5, but the next digit is 0 and 5 respectively; hence \(5.005<5.0055\). Also, \(5.0505\) is greater than \(5.0055\), while \(5.500\) is the greatest. Therefore, option A is correct. Exam tip: Add zeros to the right of decimals to make the number of decimal places equal before comparing.
Frequently asked questions
What is the correct answer to this question?
\(5.005<5.0055<5.0505<5.500\)
Why is this the correct answer?
Write the numbers with equal decimal places: \(5.0050,\ 5.0055,\ 5.0505,\ 5.5000\). In \(5.0050\) and \(5.0055\), the thousandths digit is 5, but the next digit is 0 and 5 respectively; hence \(5.005<5.0055\). Also, \(5.0505\) is greater than \(5.0055\), while \(5.500\) is the greatest. Therefore, option A is correct. Exam tip: Add zeros to the right of decimals to make the number of decimal places equal before comparing.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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