math

Which set of numbers is ordered correctly from least to greatest?
A. 0,-3,-[4],[-5],8
B. 8,[-5],-[4],-3,0
C. -[4],-3,0,[-5],8
D, [-5],-[4],-3,0,8
Is the answer A?

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asked by gwen
  1. The usual notation for [x] is the greatest integer that is equal to or less than x.
    For example, [2.5]=2, [-3.4]=-4, but -[3.4]=-3 because the [ ] function applies to a positive number. The greatest integer not exceeding 3.4 is 3. On the other hand, for [-3.4], the greatest integer not exceeding -3.4 is -4.

    However, having said all that, all numbers inside the [] sign are integers, so the greatest integer function has no effect.

    The best way to solve this problem is to first remove the greatest integer function [], for example for (A),
    0, -3, -4, -5, 8
    We can see that -3, -4, -5 are all less than zero, so it is not ordered correctly from least to greatest.
    If you draw a number line, you will find that they fall in this order:
    -5...-4...-3...0...8

    So use the number line and figure out the remainder, and you will eventually find one answer that is ordered from least to greatest.

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    posted by MathMate
  2. Which group of numbers is ordered co4rectly from least to greatest select all that apply. 2, -4, 6,-8
    -1/3,-1/6,1/2,1
    -1/10,0.2,3/10,1/4
    11/2,-0.75,-0.25,11/2
    -8,-3/4,-3,1/4

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    posted by Kathi

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