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A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called
- a)an integer
- b)a rational number
- c)an irrational number
- d)a whole number
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A number which can neither be expressed as a terminating decimal nor a...
If a number has terminating decimal expansion(Ex: 1.447) or non terminating and recurring decimal expansion(Ex: 1.46777...) then it's a rational number.
And if it is neither of them then it is non terminating and non recurring decimal expansion(Ex: 1.540345689902820....) which is a irrational number.
Hope It Helps U!
And if it is neither of them then it is non terminating and non recurring decimal expansion(Ex: 1.540345689902820....) which is a irrational number.
Hope It Helps U!
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A number which can neither be expressed as a terminating decimal nor a...
Irrational Numbers: Numbers that cannot be expressed as a terminating decimal or as a repeating decimal are called irrational numbers.
Terminating Decimals: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, the number 0.25 is a terminating decimal because it can be written as 1/4, which is a fraction with a denominator of 4, a power of 10.
Repeating Decimals: A repeating decimal is a decimal number in which one or more digits repeat indefinitely. For example, the number 0.333... is a repeating decimal because the digit 3 repeats indefinitely. It can be written as the fraction 1/3, which is a rational number.
Irrational Numbers: Irrational numbers cannot be expressed as fractions or ratios of integers. They cannot be written in the form of a/b, where a and b are integers and b is not equal to zero.
Examples of Irrational Numbers: Some well-known irrational numbers include π (pi), √2 (square root of 2), and e (Euler's number). These numbers have non-terminating and non-repeating decimal representations.
Explanation of the Correct Answer: The correct answer is option 'C' - an irrational number. This is because numbers that cannot be expressed as terminating decimals or repeating decimals are considered irrational. Irrational numbers have infinite and non-repeating decimal representations, making them different from rational numbers, which can be expressed as fractions.
Terminating Decimals: A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, the number 0.25 is a terminating decimal because it can be written as 1/4, which is a fraction with a denominator of 4, a power of 10.
Repeating Decimals: A repeating decimal is a decimal number in which one or more digits repeat indefinitely. For example, the number 0.333... is a repeating decimal because the digit 3 repeats indefinitely. It can be written as the fraction 1/3, which is a rational number.
Irrational Numbers: Irrational numbers cannot be expressed as fractions or ratios of integers. They cannot be written in the form of a/b, where a and b are integers and b is not equal to zero.
Examples of Irrational Numbers: Some well-known irrational numbers include π (pi), √2 (square root of 2), and e (Euler's number). These numbers have non-terminating and non-repeating decimal representations.
Explanation of the Correct Answer: The correct answer is option 'C' - an irrational number. This is because numbers that cannot be expressed as terminating decimals or repeating decimals are considered irrational. Irrational numbers have infinite and non-repeating decimal representations, making them different from rational numbers, which can be expressed as fractions.
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A number which can neither be expressed as a terminating decimal nor as a repeating decimal is calleda) an integerb) a rational numberc) an irrational numberd) a whole numberCorrect answer is option 'C'. Can you explain this answer?
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A number which can neither be expressed as a terminating decimal nor as a repeating decimal is calleda) an integerb) a rational numberc) an irrational numberd) a whole numberCorrect answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A number which can neither be expressed as a terminating decimal nor as a repeating decimal is calleda) an integerb) a rational numberc) an irrational numberd) a whole numberCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number which can neither be expressed as a terminating decimal nor as a repeating decimal is calleda) an integerb) a rational numberc) an irrational numberd) a whole numberCorrect answer is option 'C'. Can you explain this answer?.
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