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If (a=0.708), (b=0.780), (c=0.7008), which is the correct descending order?

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Answer and explanation

Correct answer: \(b>a>c\)

Writing the numbers up to four decimal places gives \(b=0.7800\), \(a=0.7080\), and \(c=0.7008\). Thus, \(0.7800>0.7080>0.7008\), so the correct order is \(b>a>c\). Between \(a\) and \(c\), the thousandths digit of 0.7080 is 8, while that of 0.7008 is 0; hence \(a>c\). Exam tip: Append zeros to decimals when needed so that all numbers have the same number of decimal places before comparing them.

Related tags

Number SystemsDecimal RepresentationDecimal ComparisonDescending OrderClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(b>a>c\)

Why is this the correct answer?

Writing the numbers up to four decimal places gives \(b=0.7800\), \(a=0.7080\), and \(c=0.7008\). Thus, \(0.7800>0.7080>0.7008\), so the correct order is \(b>a>c\). Between \(a\) and \(c\), the thousandths digit of 0.7080 is 8, while that of 0.7008 is 0; hence \(a>c\). Exam tip: Append zeros to decimals when needed so that all numbers have the same number of decimal places before comparing them.

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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