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Let us consider a fraction 3/5 and a rational number = −4/7 By definition, 3/5 is a rational number.
So, p is true. By definition, −4/7 is not a fraction, since, −4 is not a natural number. So, q is false.
Which of the following is not a rational number(s)?
A rational number is defined as the number which can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
√2 is not an integer.
Hence, √2/3 is not a rational number.
p: All integers are rational numbers.
q: Every rational number is an integer.
Which of the following statements is correct?
Since, every integer having a denominator 1 can be expressed in P/q form, p is true.
Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5 ), q is false.
Since, denominator is 0, it is not a rational number.
Which among the following is a rational number equivalent to 5/3?
Which of the following statements is true?
Since we know , greater the denominator smaller is the number, but since all numbers are negative, the number nearer to zero will be greatest ,so 5/17 is the greatest number.
Which is the correct descending order of
L.C.M. of 5, 4 and 20 is 20.
or
is the required descending order. Rewrite equivalent fractions of the given fractions and then compare then. Arrange them in descending order.
What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?
The ascending order of
The two middle numbers are 2/5 and 5/9
∴ Average
=
What is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 7/5 ?
The given numbers can be arranged in ascending order as
The greatest number = 9/5; The least number = 1/5
We have
What is the difference between the greatest and least numbers of 5/9,1/9 and 11/9 ?
The ascending order of given numbers is 1/9,5/9,11/9.
∴ Required difference 11/9−1/9 = 10/9
Which of the following pairs represent the same rational number?
−24/15 is the equivalent rational number of −8/5.
P: The quotient of two integers is always a rational number.
Q : 1/0 is not rational. Which of the following statements is true?
Since, 1/0 is not rational, the quotient of two integers is not always rational.
Which of the following statements is correct?
All the given statements are correct. Consider 4/5 [a]
Since is the additive identity of rational numbers. [b]
Since is the multiplicative identity of rational numbers. [c]
Since 0+0 = 0,0 is the additive inverse of 0.
The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.
Let x be the required number. So,
x+ =−3+ 7/5
=
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