6
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The distance between 1 and -5 on the number line is 6 units. This is calculated by taking the absolute difference between the two numbers, disregarding the sign. In this case, |1 - (-5)| = |1 + 5| = 6. Therefore, the distance between 1 and -5 on the number line is 6 units.
At the number 2, draw a vertical line (perpendicular to the number line) and mark a distance of 1 unit on this line. Call this point X The distance from 0 to X is sqrt(5). Put a compass with its point at 0 and the pencil at X, and then draw an arc to cut the number line. That will be sqrt(5) on the number line.
The distance between 1 and .5 is (1 - .5)/2 which is .25. Add that to .5 to get the number halfway between the points: .5 + .25 = .75.So the point halfway between is .75 or 3/4.
12
5 and 1/2 = 11/2
The fraction number line (its more sophisticated name is "Rational Number Line") looks like an ordinary straight line, but each submicroscopic point on the line represents a number which can be represented as a fraction of two integers. The number "zero" stands at the center of the line, and there are an infinite number of points in the line. No matter how close together two fractions are, there are an infinite number of fractions between them. A number line is a strictly theoretical concept. It really isn't possible to draw more than an extremely limited example of a number line, since there is no limit to the number of points on a number line. Here's a very primitive fraction number line, showing only halves: -7/2 ... -3 ... -5/2 ... -2 ... -3/2 ... -1 ... -1/2 ... 0 ... 1/2 ... 1 ... 3/2 ... 2 ... 5/2 ... 3 ... 7/2 And an only slightly more intricate line showing only sevenths: -6/7 ... -5/7 ... -4/7 ... -3/7 ... -2/7 ... -1/7 ... 0 ... 1/7 ... 2/7 ... 3/7 ... 4/7 ... 5/7 ... 6/7