Among 0.125, 0.152, and 0.1025, which number is the greatest?
Answer and explanation
Correct answer: 0.152
The governing concept is comparison of decimal numbers by aligning place values. Write the numbers with four decimal places: 0.1250, 0.1520, and 0.1025. Their whole-number parts and tenths digits are the same, so compare the hundredths digits. The hundredths digits are 2, 5, and 0 respectively; the largest is 5, belonging to 0.1520. Thus 0.152 > 0.125 and 0.152 > 0.1025, so option B is correct. The numbers are not equal because their digits differ at the hundredths place. Adding a trailing zero to 0.125 does not change its value; it only makes the lengths equal for comparison. Option C is actually the smallest of the three, while option A is between the other two. The digit-by-digit comparison confirms the answer without requiring conversion to fractions.
Frequently asked questions
What is the correct answer to this question?
0.152
Why is this the correct answer?
The governing concept is comparison of decimal numbers by aligning place values. Write the numbers with four decimal places: 0.1250, 0.1520, and 0.1025. Their whole-number parts and tenths digits are the same, so compare the hundredths digits. The hundredths digits are 2, 5, and 0 respectively; the largest is 5, belonging to 0.1520. Thus 0.152 > 0.125 and 0.152 > 0.1025, so option B is correct. The numbers are not equal because their digits differ at the hundredths place. Adding a trailing zero to 0.125 does not change its value; it only makes the lengths equal for comparison. Option C is actually the smallest of the three, while option A is between the other two. The digit-by-digit comparison confirms the answer without requiring conversion to fractions.
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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