Question

Find the value of {0.23} + {-0.23} + {-1} + {0} + {2.4} + {-2.4}
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Answer 1

{x} represents the fractional part of a function.

It is defined as {x} = x - [x], where [x] is the greatest integer of x. This definition is useful when calculating the fractional part of negative numbers.

If x is a positive integer, to find the fractional part, we drop the number on the left of decimal point.

e.g. {6.7} = 0.7

But {-6.7} ≠ 0.7

{x} gives its distance between x and [x]

[-6.7]= -7

$\Rightarrow$ {x} = x - [x] = -6.7 - (-7)

= 0.3

Similarly, {0.23} = 0.23

{-0.23} = -0.23 - (-1)

= 0.77

{-1} = -1- (-1)

= 0

{0} = 0 - 0

= 0

{2.4} = 0.4

{-2.4} = -2.4 - (-3)

= 0.6

$\Rightarrow$ sum= 0.23 + 0.77 + 0 + 0 + 0.4 + 0.6

= 2