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Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.?
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Write the rational number whose denominator is the smallest 2 digit nu...
Understanding Rational Numbers
A rational number is defined as a number that can be expressed as a fraction \( \frac{p}{q} \), where \( p \) is an integer (numerator) and \( q \) is a non-zero integer (denominator). In this case, we are tasked with finding a specific rational number based on certain criteria.
Identifying the Smallest 2-Digit Number
- The smallest two-digit number is 10.
- This number serves as the denominator in our rational number.
Identifying the Greatest 3-Digit Number
- The greatest three-digit number is 999.
- This number serves as the numerator in our rational number.
Formulating the Rational Number
- The rational number we are looking for is thus expressed as:
\[
\frac{999}{10}
\]
Characteristics of the Rational Number
- Since both 999 (numerator) and 10 (denominator) are integers, \( \frac{999}{10} \) qualifies as a rational number.
- This fraction can also be written in decimal form as 99.9, showcasing that it can be represented in multiple formats.
Conclusion
- The rational number with the smallest two-digit denominator and the greatest three-digit numerator is:
\[
\frac{999}{10}
\]
- This highlights the relationship between numerators and denominators when defining rational numbers, an essential concept in mathematics.
A rational number is defined as a number that can be expressed as a fraction \( \frac{p}{q} \), where \( p \) is an integer (numerator) and \( q \) is a non-zero integer (denominator). In this case, we are tasked with finding a specific rational number based on certain criteria.
Identifying the Smallest 2-Digit Number
- The smallest two-digit number is 10.
- This number serves as the denominator in our rational number.
Identifying the Greatest 3-Digit Number
- The greatest three-digit number is 999.
- This number serves as the numerator in our rational number.
Formulating the Rational Number
- The rational number we are looking for is thus expressed as:
\[
\frac{999}{10}
\]
Characteristics of the Rational Number
- Since both 999 (numerator) and 10 (denominator) are integers, \( \frac{999}{10} \) qualifies as a rational number.
- This fraction can also be written in decimal form as 99.9, showcasing that it can be represented in multiple formats.
Conclusion
- The rational number with the smallest two-digit denominator and the greatest three-digit numerator is:
\[
\frac{999}{10}
\]
- This highlights the relationship between numerators and denominators when defining rational numbers, an essential concept in mathematics.
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Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.?
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Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.?.
Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the rational number whose denominator is the smallest 2 digit number and the numerator is the greatest 3 digit number.?.
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