Question

the decimal expansion of number 46/2^2*5*3 is
Also tell which kind of decimal expansion is ​

Answer 1

Answer:

$\frac{46}{2^{2}\times 5^{3}}= 0.092$

Step-by-step explanation:

$\frac{46}{2^{2}\times 5^{3}}$

$Denominator \: is \:of \:form \:2^{n}\times 5^{m}.\\It \:is \: a \: terminating \: decimal$

$\frac{46}{2^{2}\times 5^{3}}=\frac{46\times 2}{2^{3}\times 5^{3}}$

$=\frac{92}{(2\times 5)^{3}}$

$=\frac{92}{(10)^{3}}$

$=\frac{92}{1000}$

$=0.092$

/* Terminating decimal */

Therefore,

$\frac{46}{2^{2}\times 5^{3}}= 0.092$

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Answer 2

The decimal expansion is 0.766666666... which is a non-terminating repeating decimal or recurring decimal .

Step-by-step explanation:

We have to evaluate the following expression:

$\displaystyle\frac{46}{2^2\times 5\times 3}$

Evaluating the given fraction, we get a value of 0.766666666...

That is the last digit of the fraction is repeating itself.

Thus, it is a non-terminating repeating decimal or recurring decimal because the digit 6 is repeating itself infinitely and does not end.

#Learnmore

The decimal expansion of the rational number 46 / 24.5 will terminate after how many places of  decimal?

https://brainly.in/question/363717