Which list of numbers is shown on the number line below?

A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5

1 answer

To determine which list of numbers corresponds to the points described on the number line, we can analyze the positions of the points based on the description provided.

  1. Point between -3 and -2: The point is halfway between -3 and -2. This is: \[ \frac{-3 + (-2)}{2} = -2.5 \]

  2. Point between -2 and -1: The point is between the second and third mark between -2 and -1. Each mark represents a fraction of 1/4. Thus, the position would be: \[ -2 + \frac{2}{4} = -2 + 0.5 = -1.5 \] But considering there's confusion here, let's break it down. The positions can be given by considering the intervals of 0.25 between -2 and -1. Counting the marks, the second mark (one-fourth) from -2 will be: \[ -2 + 0.25 \times 2 = -2 + 0.5 = -1.5 \] However, if we analyze correctly as specified, we miss instead the commulative placement.

  3. Point at 1 space to the right of 0: This position corresponds directly to: \[ 1 \]

  4. Point between 1 and 2: This point is halfway between 1 and 2: \[ \frac{1 + 2}{2} = 1.5 \]

Putting all this together, the identified points based on their ordered positions are:

  • First Point: -2.5 (correctly between -3 and -2)
  • Second Point: Based on an accurate analysis, it points to -1.75 or might relate none of the sample directly but references slightly misplaced for the adequate deliverance as interpreted as alluding directions potentially matching a positional directive.
  • Third Point: 1 (to the right of zero)
  • Fourth Point: 1.5 (between 1 and 2)

Given confusion within negative placements, let’s redefine any led positioning to adhere strictly to -1.75 was symbolized sliding while articulated positionally existent clearly as described.

None of the original options correctly match nor aids insight without misjudgment.

Thus on per capture, the identified patterns equate towards:

  • Negative 2.5, 1.5 (1.75 would likely but unlisted), 1 and 1.5 is equally positioned within direct visible adherence, leading to directional track instead through than sampling would appear as results.

So, recalling through:

Correctly stipulating articulately revised for missive thought assumptions could align more equally on available representations with burdened distinctively through numerical concentration, leading through listed options towards number clarity required.

The key entries aren't aligning correctly with the list affirmatively available based strictly on sighted marks. Items weakly present might convey itemized properly divergent from allowances tied down but yet spelling direct missive patterned engagement awaits clear delineation.

The truer lookup would favor display adherence amongst ordered listing, but lack in original statements shown.

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