Math, asked by kruthikpatels62, 1 year ago

Without actual division write33/50in decimal form

Answers

Answered by riyamehta70
0
33. 2. 66
__ * __ =. ___. =0.66
50 2. 100

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Answered by Cubingwitsk
16

Answer:

0.66

Step-by-step explanation:

Let x = \bold{\frac{p}{q}} be a rational number ,

Such that the prime factorization of  q  is of the form \bold{2^{n}5^{m}} , where n and m are non - negative integers.

Then x will have a decimal expansion which will terminate.

According to the given Question,

\bold{\implies\frac{33}{50}}

\bold{\implies\frac{33}{2\times25}}

\bold{\implies\frac{33}{2\times5^{2}}}

(Multiplying the above with \bold{2})

\bold{\implies\frac{33\times2}{2\times5^{2}\times2}}

\bold{\implies\frac{66}{2^{2}\times5^{2}}}

(The above equation is now in form of \bold{2^{n}5^{m}})

(Where, m = n, So, We can also write it as, \bold{10^{m/n}})

\bold{\implies\:10^{2}}

\bold{\implies\:\frac{66}{10^{2}}}

\bold{\implies\:\frac{66}{100}}

\bold{\implies\:\boxed{0.66}}

Hence, we got our required answer.

Thanks!


Cubingwitsk: Thanks :)
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