What is the decimal form of (13/100)?
Answer and explanation
Correct answer: 0.13
The governing concept is place value in a fraction whose denominator is a power of 10. Since 100 has two zeros, write the numerator 13 with two places to the right of the decimal point: 13/100 = 0.13. Equivalently, dividing 13 by 100 moves the decimal point two places left. Therefore option A is correct. Option B, 1.3, represents 13/10, not 13/100. Option C, 13.00, is equal to 13, while option D, 0.013, represents 13/1000. The two decimal places are hundredths, exactly matching the denominator 100.
Frequently asked questions
What is the correct answer to this question?
0.13
Why is this the correct answer?
The governing concept is place value in a fraction whose denominator is a power of 10. Since 100 has two zeros, write the numerator 13 with two places to the right of the decimal point: 13/100 = 0.13. Equivalently, dividing 13 by 100 moves the decimal point two places left. Therefore option A is correct. Option B, 1.3, represents 13/10, not 13/100. Option C, 13.00, is equal to 13, while option D, 0.013, represents 13/1000. The two decimal places are hundredths, exactly matching the denominator 100.
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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