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Conversion to Rational Numbers Video Lecture | CSAT Preparation - UPSC
FAQs on Conversion to Rational Numbers Video Lecture - CSAT Preparation - UPSC
| 1. How do you convert a decimal to a rational number? |  |
Ans. To convert a decimal to a rational number, write the decimal as a fraction with a denominator of 1 followed by the same number of 0s as the number of decimal places. Simplify the fraction if possible. For example, 0.75 can be written as 75/100, which simplifies to 3/4.
| 2. Can all decimals be converted to rational numbers? | |
Ans. No, not all decimals can be converted to rational numbers. Decimals that terminate or repeat can be converted to rational numbers, but decimals that do not terminate or repeat, such as pi or the square root of 2, cannot be converted to rational numbers.
| 3. What is the difference between a rational number and an irrational number? | |
Ans. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers. An irrational number is a number that cannot be expressed as a fraction and has an infinite number of non-repeating decimal places.
| 4. Can a rational number be negative? | |
Ans. Yes, a rational number can be negative. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers, so it can be positive, negative, or zero.
| 5. What is the importance of converting decimals to rational numbers? | |
Ans. Converting decimals to rational numbers can be important in a variety of situations, such as in mathematics, engineering, or science. Rational numbers are easier to work with in many calculations because they can be expressed as fractions, which can be simplified and combined more easily than decimals. Additionally, converting decimals to rational numbers can provide a more accurate representation of a value, especially if the decimal has a repeating pattern.
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