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If [x] is the greatest integer less than or equal to x , what is the value of
[-1.6] + [3.4] + [2.7] ?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Draw a number line:
--------------------------------------------------------------------------
-4 -3 -2 -1 0 1 2 3 4
Mark all those numbers approximately as points on the number line:
----------------------@--------------------------------------@-----@------
-4 -3 -2 -1 0 1 2 3 4
The first integer to the LEFT of -1.6 is -2, so [-1.6] = -2
The first integer to the LEFT of 3.4 is 3, so [3.4] = 3
The first integer to the LEFT of 2.7 is 2, so [2.7] = 2
So [-1.6] + [3.4] + [2.7] = (-2) + (3) + (2) = 3
Choice (A)
Edwin