Question

the decimal representation of 11/2^3×5​

Answer 1

Answer:

$Decimal \:represention \: of \\\frac{11}{2^{3}\times 5}\\=0.275$

Step-by-step explanation:

$\frac{11}{2^{3}\times 5}\\=\frac{11\times 5^{2}}{2^{3}\times 5\times 5^{2}}\\=\frac{11\times 25}{(2 \times 5)^{3}}\\=\frac{275}{(10)^{3}}\\=\frac{275}{1000}\\=0.275$

Therefore,

$Decimal \:represention \: of \\\frac{11}{2^{3}\times 5}\\=0.275$

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Answer 2

The decimal representation of $\dfrac{11}{2^3\times 5}$ is 0.275.

Step-by-step explanation:

We need to find the decimal representation of $\dfrac{11}{2^3\times 5}$. Firstly, we will solve denominator of the representation. For this divide both numerator and denominator by 5². So,

$\dfrac{5^2}{2^3\times 5\times 5^2}=\dfrac{25}{(2\times 5)^3}\\\\\dfrac{25}{2^3\times 5^3}=\dfrac{25}{10^3}\\\\\dfrac{25}{2^3\times 5^3}=\dfrac{25}{1000}$

So,

$\dfrac{11\times 25}{2^3\times 5^3}=\dfrac{11\times 25}{1000}=\dfrac{275}{1000}=0.275$

So, the decimal representation of $\dfrac{11}{2^3\times 5}$ is 0.275.

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