Question

Is every rational number an Integer?? Give reason for your answer

Answer 1

Every integer is a rational number but a rational number need not be an integer.

We know that 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and so on ……. .

also, -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so on …….. .

In other words, any integer a can be written as a = a/1, which is a rational number.

Thus, every integer is a rational number.

Clearly, 3/2,-5/3, etc. are rational numbers but they are not integers.

Hence, every integer is a rational number but a rational number need not be an integer.

Answer 2

Answer:

No

Step-by-step explanation:

Every integer is a rational number.

Rational numbers include whole numbers,natural numbers & integers .

But integers only include positive and negative numbers.