Express 0-6666- in pq form is-

The correct option is B 23 Let x=0.6666...... #160; #160; #160; #160; 10x=6.666 #160; #160; #160; #160; ...

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Byju's Answer

Standard VII

Mathematics

Writing Rational Numbers as Decimals

Express 0.6...

Question

Express $0.6666$ ...... in $\frac{p}{q}$ form is:

\frac{6}{99}

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\frac{2}{3}

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\frac{3}{5}

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\frac{1}{66}

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Solution

The correct option is B $\frac{2}{3}$
Let $x = 0.6666......$

$10 x = 6.666 - - - ----------- -$

$- 9 x = - 6$

$\Rightarrow x = \frac{6}{9} = \frac{2}{3} .$
Hence, the answer is $\frac{2}{3} .$

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Similar questions

Q. What is the remainder when p - q is divided by 100, if

p = 2^{99} + 4^{99} + 6^{99} + 8^{99} + . . . . . . . . . + 100^{99}

and

q = 1^{99} + 3^{99} + 5^{99} + 7^{99} + . . . . . . . . . . + 99^{99} ?

$ω$ is a cube root of unity, $ω \neq 1$ .

Match the following.

(1) $ω^{99}$ (p) - 1

(2) 1 + $ω^{33}$ + $ω^{66}$ (q) 0

(3) 1 + $ω^{14}$ + $ω^{28}$ (r) 3

(4) $ω^{4}$ + $ω^{5}$ + $ω^{6}$ (s) 1

Express each of the following as a rational number in the form $\frac{p}{q} :$

$(i) 6^{- 1} (i i) (- 7)^{- 1} (i i i) {(\frac{1}{4})}^{- 1} (i v) (- 4)^{- 1} \times {(\frac{- 3}{2})}^{- 1} (v) {(\frac{3}{5})}^{- 1} \times {(\frac{5}{2})}^{- 1}$

Q. What is the degree of the algebraic expression,

p^{3} q^{2} - 6 p^{2} q^{5} + p^{4} q^{4} - 8 p q^{6} + 5 p^{3} q

$ω$ is a cube root of unity, $ω \neq 1$ .

Match the following.

(1) $ω^{99}$ (p) - 1

(2) 1 + $ω^{33}$ + $ω^{66}$ (q) 0

(3) 1 + $ω^{14}$ + $ω^{28}$ (r) 3

(4) $ω^{4}$ + $ω^{5}$ + $ω^{6}$ (s) 1

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Express 0.6666...... in pq form is:

The correct option is B 23Let x=0.6666...... 10x=6.666−−––––––––––––– −9x=−6⇒x=69=23.Hence, the answer is 23.

Express $0.6666$ ...... in $\frac{p}{q}$ form is:

The correct option is B $\frac{2}{3}$
Let $x = 0.6666......$

$10 x = 6.666 - - - ----------- -$

$- 9 x = - 6$

$\Rightarrow x = \frac{6}{9} = \frac{2}{3} .$
Hence, the answer is $\frac{2}{3} .$