If n is a natural number then \(\sqrt { n } \) is ________.

(a)

always a natural number

(b)

always an irrational number

(c)

always a rational number

(d)

may be rational or irrational

Which of the following is not true?

(a)

Every rational number is a real number

(b)

Every integer is a rational number

(c)

Every real number is an irrational number

(d)

Every natural number is a whole number

Which one of the following, regarding sum of two irrational numbers, is true?

(a)

always an irrational number

(b)

may be a rational or irrational number

(c)

always a rational number

(d)

always an integer.

Which one of the following has a terminating decimal expansion?

(a)

\(\frac { 5 }{ 64 } \)

(b)

\(\frac { 8 }{ 9 } \)

(c)

\(\frac { 14 }{ 15 } \)

(d)

\(\frac { 1 }{ 12 } \)

Find the odd one out of the following.

(a)

\(\sqrt { 32 } \times \sqrt { 2 } \)

(b)

\(\frac { \sqrt { 27 } }{ \sqrt { 3 } } \)

(c)

\(\sqrt { 72 } \times \sqrt { 8 } \)

(d)

\(\frac { \sqrt { 54 } }{ \sqrt { 18 } } \)

\(0.\overline { 34 } +0.3\bar { 4 } \) = ________.

(a)

\(0.6\overline { 87 } \)

(b)

\(0.\overline { 68 } \)

(c)

\(0.6\bar { 8 } \)

(d)

\(0.68\bar { 7 } \)

The decimal form of -\(\frac { 3 }{ 4 } \) is_______________

(a)

- 0.75

(b)

- 0.50

(c)

-0.25

(d)

- 0.125

If a number has a non-terminating and non-recurring decimal expansion, then it is______________ .

(a)

a rational number

(b)

a natural number

(c)

an irrational number

(d)

an integer

Irrational number has a________________ .

(a)

terminating decimal

(b)

no decimal part

(c)

non-terminating and recurring decimal

(d)

non-terminating and non-recurring decimal

If \(\frac { 1 }{ 7 } \)= 0.142857, then the value of is______________.

(a)

0.285741

(b)

0.428571

(c)

0.285714

(d)

0.574128

Express the following in the form \({p\over q},\) where p and q are integers and q \(\ne\) 0.
\(0.\overline {47}\)

Express the following decimal expression into rational numbers. \(0.\overline { 24 } \)

Express the following decimal expression into rational numbers. \(2.\overline { 327 } \)

Express the following decimal expression into rational numbers \(3.1\overline { 7 } \)

Express the following decimal expression into rational numbers \(17.2\overline { 15 } \)

Express the following decimal expression into rational numbers \(0.\overline { 0001 } \)

Find any  seven rational numbers between \(\frac { 5 }{ 8 } \) and \(\frac { 5 }{ 6 } \)

Find any three rational numbers between \(\frac { 1 }{ 2 } \) and \(\frac { 1 }{ 5 } \)