Find the value of [2.3] + [0.23] + [-5.1] + [6]
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Solution

Greatest integer of a number gives the nearest integer on the left of it on the number line. If x is an integer it gives the same value x.

$\Rightarrow$ [2.3] = 2

[0.23] = 0

[-5.1] = -6

[6] = 6

$\Rightarrow$ sum = 2 + 0 + (-6) + 6 = 2

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(2.3)^{x} = (0.23)^{y} = 1000,

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(2.3)^{x} = (0.23)^{y} = 1000

\frac{1}{x} - \frac{1}{y}

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