Class 8 Exam > Class 8 Questions > A Which of the following statements is true?a...
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A Which of the following statements is true?
- a)Every fraction is a rational number.
- b)Every rational number is a fraction.
- c)Every integer is a rational number.
- d)Both (a) and (c).
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A Which of the following statements is true?a)Every fraction is a rati...
Every rational number is not a fraction.
In rational numbers, we use integers and in fractions, we use only natural numbers.
In rational numbers, we use integers and in fractions, we use only natural numbers.
Most Upvoted Answer
A Which of the following statements is true?a)Every fraction is a rati...
True Statement: Every rational number is a fraction.
Explanation:
• A rational number is a number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.
• A fraction is also a number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.
• Therefore, every rational number can be written as a fraction.
• However, every fraction may not be a rational number. For example, √2/2 is a fraction but it is not a rational number.
• Therefore, option (b) is the correct statement.
Incorrect Statements:
• Option (a) - Every fraction is a rational number - is incorrect because, as discussed above, some fractions may not be rational numbers.
• Option (c) - Every integer is a rational number - is also incorrect. While every integer can be expressed as a fraction (by putting the denominator as 1), not every fraction is an integer.
Explanation:
• A rational number is a number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.
• A fraction is also a number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.
• Therefore, every rational number can be written as a fraction.
• However, every fraction may not be a rational number. For example, √2/2 is a fraction but it is not a rational number.
• Therefore, option (b) is the correct statement.
Incorrect Statements:
• Option (a) - Every fraction is a rational number - is incorrect because, as discussed above, some fractions may not be rational numbers.
• Option (c) - Every integer is a rational number - is also incorrect. While every integer can be expressed as a fraction (by putting the denominator as 1), not every fraction is an integer.
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Community Answer
A Which of the following statements is true?a)Every fraction is a rati...
Every fraction is a rational number as well as every integer is a rational number. E.G. An integer 2 can be written as 2/2 which is a rational number.
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A Which of the following statements is true?a)Every fraction is a rational number.b)Every rational number is a fraction.c)Every integer is a rational number.d)Both (a) and (c).Correct answer is option 'D'. Can you explain this answer?
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