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03 - Decimal Form Of Rational Numbers - Class 10 - Maths Video Lecture
FAQs on 03 - Decimal Form Of Rational Numbers - Class 10 - Maths Video Lecture
| 1. What is the decimal form of a rational number? |  |
Ans. The decimal form of a rational number is a representation of the number using decimal notation. It can be either a terminating decimal, where the digits end after a certain point, or a repeating decimal, where a pattern of digits repeats indefinitely.
| 2. How do you convert a rational number into decimal form? | |
Ans. To convert a rational number into decimal form, divide the numerator by the denominator using long division. Keep dividing until the division either terminates or a pattern starts repeating. The quotient obtained will be the decimal form of the rational number.
| 3. What is a terminating decimal? | |
Ans. A terminating decimal is a decimal number that ends or terminates after a certain number of decimal places. In the decimal representation, there are no digits that repeat or continue indefinitely. For example, 0.25 is a terminating decimal as it ends after two decimal places.
| 4. What is a repeating decimal? | |
Ans. A repeating decimal is a decimal number that has a pattern of digits that repeats indefinitely. In the decimal representation, there is a group of digits that repeats after a certain point. For example, 0.333... is a repeating decimal as the digit 3 repeats infinitely.
| 5. How can you identify if a rational number will have a terminating or repeating decimal form? | |
Ans. To determine if a rational number will have a terminating or repeating decimal form, examine its denominator. If the prime factorization of the denominator contains only 2's and/or 5's, the decimal form will be terminating. If the prime factorization contains any prime factors other than 2 or 5, the decimal form will be repeating.
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