Question

Exercise 1.1
1. State whether the following statements are True or False
(a) Every rational number is an integer.​

Answer 1

Answer:

Every rational number is an integer. false

Explanation:

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.

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Answer 2

Answer:

false because 1/6 is a rational no. but not an integer