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