Which number will be placed first in the ascending order of (0.2), (0.02), and (0.002)?
Answer and explanation
Correct answer: 0.002
In ascending order, the smallest number comes first. Here, 0.2 = 2/10, 0.02 = 2/100, and 0.002 = 2/1000. With the same numerator 2, the fraction with denominator 1000 is the smallest, so 0.002 comes first. Although 0.02 is the closest option, it is 10 times greater than 0.002. Exam tip: for decimals with the same non-zero digit, shifting that digit further right makes the number smaller.
Frequently asked questions
What is the correct answer to this question?
0.002
Why is this the correct answer?
In ascending order, the smallest number comes first. Here, 0.2 = 2/10, 0.02 = 2/100, and 0.002 = 2/1000. With the same numerator 2, the fraction with denominator 1000 is the smallest, so 0.002 comes first. Although 0.02 is the closest option, it is 10 times greater than 0.002. Exam tip: for decimals with the same non-zero digit, shifting that digit further right makes the number smaller.
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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