Which is the correct ascending order of (0.9), (0.09), and (0.009)?
Answer and explanation
Correct answer: (0.009<0.09<0.9)
To arrange decimals in ascending order means to place them from the smallest value to the greatest value. Decimal places must be compared from left to right, and missing digits may be written as zeros. Thus 0.9 can be written as 0.900, 0.09 as 0.090, and 0.009 already has three decimal places. This makes comparison clear.
All numbers have the same whole part, 0. Compare the tenths digits first: 0.009 and 0.09 have tenths digit 0, while 0.9 has tenths digit 9, so 0.9 is greatest. Between the first two, compare hundredths: 0.009 has 0 hundredths, whereas 0.090 has 9 hundredths. Hence 0.009<0.09<0.9, which is choice B. Extra zeros do not change a decimal's value.
Frequently asked questions
What is the correct answer to this question?
(0.009<0.09<0.9)
Why is this the correct answer?
To arrange decimals in ascending order means to place them from the smallest value to the greatest value. Decimal places must be compared from left to right, and missing digits may be written as zeros. Thus 0.9 can be written as 0.900, 0.09 as 0.090, and 0.009 already has three decimal places. This makes comparison clear.
All numbers have the same whole part, 0. Compare the tenths digits first: 0.009 and 0.09 have tenths digit 0, while 0.9 has tenths digit 9, so 0.9 is greatest. Between the first two, compare hundredths: 0.009 has 0 hundredths, whereas 0.090 has 9 hundredths. Hence 0.009<0.09<0.9, which is choice B. Extra zeros do not change a decimal's value.
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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