Among 0.505, 0.55, and 0.5005, which number is the smallest?
Answer and explanation
Correct answer: 0.5005
The governing concept is ordering decimals by equalizing their decimal places. Rewrite the relevant numbers as 0.5050, 0.5500, and 0.5005. All have the same whole-number part, 0, so compare digits from left to right after the decimal point. Their tenths digits are equal at 5; at the hundredths place, 0.5005 has 0, while 0.5050 has 0 and 0.5500 has 5. Comparing the next digits gives 0.5005 < 0.5050 < 0.5500. Thus option C is correct. Option A is larger by 0.0045, and option B is much larger because its hundredths digit is 5. Option D is not among the original three and is also larger than all of them. Trailing zeros do not change a decimal's value; they only make comparison clearer.
Frequently asked questions
What is the correct answer to this question?
0.5005
Why is this the correct answer?
The governing concept is ordering decimals by equalizing their decimal places. Rewrite the relevant numbers as 0.5050, 0.5500, and 0.5005. All have the same whole-number part, 0, so compare digits from left to right after the decimal point. Their tenths digits are equal at 5; at the hundredths place, 0.5005 has 0, while 0.5050 has 0 and 0.5500 has 5. Comparing the next digits gives 0.5005 < 0.5050 < 0.5500. Thus option C is correct. Option A is larger by 0.0045, and option B is much larger because its hundredths digit is 5. Option D is not among the original three and is also larger than all of them. Trailing zeros do not change a decimal's value; they only make comparison clearer.
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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