Question

7.
Which of the following is not a rational number?
(a) 4.325
(b) 7.26126112611 (c) 7.004000400004....
(d) 11.004004......​

Answer 1

Answer:

all are rational numbers.

hope its help you

Answer 2

Answer:

The correct answer is option(c)7.004000400004...

Step-by-step explanation:

Recall the concept:

A rational number is a number that can be expressed in the form $\frac{p}{q}$, where p and q are integers and q≠0

Every terminating decimal is a rational number.

Every non-terminating recurring decimals are rational numbers

(a) 4.325

This is a terminating decimal.

Since every terminating decimal can be represented in the form  $\frac{p}{q}$,

4.325 is a rational number

(b) 7.26126112611

Since every terminating decimal can be represented in the form   $\frac{p}{q}$,

7.26126112611 is a terminating decimal, we have

7.26126112611 is a rational number

(c) 7.004000400004...

This is non- terminating non-recurring decimals.

Since we cannot express non- terminating non-recurring decimals in the form  $\frac{p}{q}$,

7.004000400004...is not a rational number

(d)  11.004004......​

This is a non-terminating recurring decimal

Since we can express non-terminating recurring decimals in the form $\frac{p}{q}$11.004004......​ is a rational number

Hence from the options, option(c)7.004000400004.... is not a rational number

The correct answer is option(c)7.004000400004...

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