Q: How Many unit segments Aré there from 2 to 7 no the Number line?

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2

11 and -7

a number of things

from the question on the sheet.

Many right angled triangles can be used. The simplest would be one with legs of unit length.

Related questions

2

11 and -7

There are infinitely many segments. Consider any number x such that 1 < x < 4 then the segment from x to x+1 is a unit segment and, by definition, it will be wholly within the interval to 5. Since there are infinitely many possible choices for x, then there are infinitely many intervals.

a number of things

from the question on the sheet.

They can be parts of lines. They have one unit of measure. They connect two endpoints. They can "grow" to become two-dimensional objects.

unit line number

It goes 825 unit to the right of the number 0.

Somewhere on the line, at a distance that is A times the unit distance from the origin.

Many right angled triangles can be used. The simplest would be one with legs of unit length.

segments

At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).Rationale:You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).Rationale:You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).Rationale:You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.At the point 1, draw a perpendicular to the number line. Mark of a length of 1 unit on this line: call that point A.From the 0 on the number line, using a pair of compasses, measure the arc OA and use that length to mark the number line at sqrt(2).Rationale:You have a right angled triangle, with its right angle at the point 1. The base is 1 unit and the vertical height is 1 unit. So, by Pythagoras, the line from 0 to A is sqrt(2) units.