State true or false: Every terminating decimal is a rational number.

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True

False

answer is A.

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Detailed Solution

Given is the statement that every terminating decimal is a rational number.
A terminating decimal is a decimal number which has finite number of digits on the right of the decimal point.
All these numbers can be expressed in the form of

p q

by shifting the decimal point towards the right by as many places as the number of digits, and writing corresponding powers of 10 in the denominator.
So, all these are terminating decimals as well as rational numbers as they are expressed in the form of

p q

, where p and q are both integers and q is non-zero.
Thus, we can conclude that every terminating decimal is a rational number.
Hence the given statement is true.
So, the correct option is 1.

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