What is the ascending order of (7.007), (7.0707), (7.0077), and (7.700)?
Answer and explanation
Correct answer: \(7.007<7.0077<7.0707<7.700\)
Write all the numbers up to four decimal places for comparison: \(7.0070, 7.0707, 7.0077, 7.7000\). Comparing digits after the decimal point from left to right gives \(7.0070<7.0077<7.0707<7.7000\). Hence, option A is correct. In option D, \(7.0707\) and \(7.0077\) are placed in the wrong order because, at the tenths place, \(0<7\). Exam tip: Add trailing zeros when needed to make the decimal places equal before comparing decimals.
Frequently asked questions
What is the correct answer to this question?
\(7.007<7.0077<7.0707<7.700\)
Why is this the correct answer?
Write all the numbers up to four decimal places for comparison: \(7.0070, 7.0707, 7.0077, 7.7000\). Comparing digits after the decimal point from left to right gives \(7.0070<7.0077<7.0707<7.7000\). Hence, option A is correct. In option D, \(7.0707\) and \(7.0077\) are placed in the wrong order because, at the tenths place, \(0<7\). Exam tip: Add trailing zeros when needed 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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