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State true or false: The number zero is a rational number.

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True

False

answer is A.

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Detailed Solution

Given a statement, the number zero is a rational number.
We need to check whether the given statement is true or false.
Conditions for a number to be rational:

The number can be written in the form of

m n

⇒

The number

0

can be written as

01, 020, 0100 .....

which is in the form of

m n

m

and

n

are integers

In case of

01

, 0 and 1 are integers.
In case of

020

, 0 and 20 are integers.
In case of

0100

, 0 and 100 are integers and so on.

n ≠ 0

⇒

From the above examples, the denominator

0, 20, 100 ≠ 0

.
The number zero satisfies all the above conditions. So, we can say that zero is a rational number.
Hence, 1 is the correct option.

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