Which decimal is equal to 11/100?
Answer and explanation
Correct answer: 0.11
The governing concept is place value in decimal representation. A denominator of 100 means that the numerator is measured in hundredths, so two digits must be placed to the right of the decimal point. Therefore 11/100 = 0.11. Option B is correct. The value 1.1 is eleven tenths, or 110/100, so it is ten times too large. The value 0.011 represents eleven thousandths, or 11/1000, so it is ten times too small. The number 11.00 is simply 11, which is much larger than 0.11. Another useful check is multiplication: 0.11 × 100 = 11, confirming the fraction exactly. Zeros may be added at the left when needed, but changing the number of decimal places changes the denominator and therefore the value.
Frequently asked questions
What is the correct answer to this question?
0.11
Why is this the correct answer?
The governing concept is place value in decimal representation. A denominator of 100 means that the numerator is measured in hundredths, so two digits must be placed to the right of the decimal point. Therefore 11/100 = 0.11. Option B is correct. The value 1.1 is eleven tenths, or 110/100, so it is ten times too large. The value 0.011 represents eleven thousandths, or 11/1000, so it is ten times too small. The number 11.00 is simply 11, which is much larger than 0.11. Another useful check is multiplication: 0.11 × 100 = 11, confirming the fraction exactly. Zeros may be added at the left when needed, but changing the number of decimal places changes the denominator and therefore the 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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