If (a=0.306), (b=0.360), (c=0.3006), which is the correct descending order?
Answer and explanation
Correct answer: \(b>a>c\)
Write all the numbers to four decimal places: \(b=0.3600\), \(a=0.3060\), and \(c=0.3006\). Thus, \(b\) is the greatest. Also, \(a=0.3060\) is greater than \(c=0.3006\) because at the hundredths place, \(a\) has 6 while \(c\) has 0. Therefore, the descending order is \(b>a>c\). Option \(b>c>a\) is wrong because \(0.3006<0.3060\). Exam tip: Add trailing zeros to make the decimal places equal before comparing decimals.
Frequently asked questions
What is the correct answer to this question?
\(b>a>c\)
Why is this the correct answer?
Write all the numbers to four decimal places: \(b=0.3600\), \(a=0.3060\), and \(c=0.3006\). Thus, \(b\) is the greatest. Also, \(a=0.3060\) is greater than \(c=0.3006\) because at the hundredths place, \(a\) has 6 while \(c\) has 0. Therefore, the descending order is \(b>a>c\). Option \(b>c>a\) is wrong because \(0.3006<0.3060\). Exam tip: Add trailing zeros to make the decimal places equal before comparing decimals.
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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