If (0.92b>0.927), how many values of digit (b) are possible?
Answer and explanation
Correct answer: 2
The first two digits after the decimal point, 9 and 2, are the same in both numbers. Therefore, the comparison depends on the thousandths digit. For the inequality to hold, b must be greater than 7. Since b is a digit, it can only be 8 or 9, so there are 2 possible values. A common mistake is to include 7, but b = 7 makes the two decimals equal, not greater. Exam tip: when initial decimal digits are the same, the first differing digit from the left determines the comparison.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The first two digits after the decimal point, 9 and 2, are the same in both numbers. Therefore, the comparison depends on the thousandths digit. For the inequality to hold, b must be greater than 7. Since b is a digit, it can only be 8 or 9, so there are 2 possible values. A common mistake is to include 7, but b = 7 makes the two decimals equal, not greater. Exam tip: when initial decimal digits are the same, the first differing digit from the left determines the comparison.
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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