Explain why 3-1416 is a rational number-1 mark-RS Aggarwal-Rational Numbers and Their Decimal Expansions-

Solution: 3.1416 nbsp; is a rational number because we can write it in the form of p/q, where q ≠ 0. Apart from this the given decimal number nbsp;has recur ...

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Standard X

Mathematics

Factorisation of Quadratic Polynomials

Explain why 3...

Question

Explain why $3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ is a rational number.
[1 mark]
[  RS Aggarwal]
[Rational Numbers and Their Decimal Expansions]

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Solution

Solution:
$3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ is a rational number because we can write it in the form of $\frac{p}{q}$ , where q $\neq$ 0. Apart from this the given decimal number has recurring number 1416, hence it is a rational number.
[1 mark]

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Similar questions

Find 10 rational numbers between $\frac{- 2}{5}$ and $\frac{1}{2}$ .

Q. The decimal expansion of the rational number

\frac{14587}{1250}

is terminating after___.

Q. Among the given rational numbers, find the second largest number.

\frac{- 4}{3}

,

\frac{- 7}{8}

,

\frac{- 9}{12}

,

\frac{- 19}{24}

Two rational numbers between - $\frac{2}{5}$ and $\frac{1}{2}$ are ____ and ____ .

A.  - $\frac{1}{10}$ and $\frac{7}{10}$

B.  - $\frac{9}{10}$ and $\frac{7}{10}$

C.  - $\frac{3}{10}$ and $\frac{3}{10}$

D.  - $\frac{7}{10}$ and $\frac{3}{10}$

Which of the following rational numbers does not lie between $\frac{14}{20}$ and $\frac{37}{40}$ .

A.  $\frac{3}{4}$ 

B.  $\frac{7}{8}$ 

C.  $\frac{9}{10}$ 

D.  $\frac{3}{5}$

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Explain why 3.¯¯¯¯¯¯¯¯¯¯¯1416 is a rational number. [1 mark] [  RS Aggarwal] [Rational Numbers and Their Decimal Expansions]

Solution: 3.¯¯¯¯¯¯¯¯¯¯¯1416 is a rational number because we can write it in the form of pq, where q ≠ 0. Apart from this the given decimal number has recurring number 1416, hence it is a rational number. [1 mark]

Explain why $3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ is a rational number.
[1 mark]
[  RS Aggarwal]
[Rational Numbers and Their Decimal Expansions]

Solution:
$3. ¯ ¯¯¯¯¯¯¯¯¯ ¯ 1416$ is a rational number because we can write it in the form of $\frac{p}{q}$ , where q $\neq$ 0. Apart from this the given decimal number has recurring number 1416, hence it is a rational number.
[1 mark]