State which of the following are rational numbers ?Give reasons? (a)3/...
**Rational Numbers**
Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, rational numbers are numbers that can be written in the form a/b, where a and b are integers and b is not equal to zero.
Let's analyze each option given and determine whether they are rational numbers or not.
**a) 3/5**
This is a rational number because it can be expressed as the fraction of two integers: 3 and 5. The numerator (3) and denominator (5) are both integers, and the denominator is not zero.
**b) 0/7**
This is also a rational number because the numerator is zero, and any integer divided by a non-zero integer is a rational number. In this case, 0 divided by 7 is 0.
**c) 1/8**
This is a rational number since it can be expressed as the fraction of two integers: 1 and 8. Both the numerator and the denominator are integers, and the denominator is not zero.
**d) 11/0**
This is not a rational number because the denominator is zero. Division by zero is undefined in mathematics, so this fraction cannot be evaluated.
**e) -5/19**
This is a rational number as it can be expressed as the fraction of two integers: -5 and 19. The numerator (-5) and denominator (19) are both integers, and the denominator is not zero.
**f) -18/0**
Similar to option (d), this is not a rational number because the denominator is zero. Division by zero is undefined, so this fraction cannot be evaluated.
In summary, the rational numbers among the given options are:
(a) 3/5
(b) 0/7
(c) 1/8
(e) -5/19
State which of the following are rational numbers ?Give reasons? (a)3/...
If m is any integer and n is a any non zero integer then m/n id called a rational number
so all are rational number on one is not that is -18/0
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