Question

represent on number line 0.5 , 1.9 , 4.7​

Answer 1

Answer:

I am assuming your question here is about the accuracy since approximations can be done by anyone.

Well I can tell you a method to mark it with best accuracy you can imagine. It was fun to think about the method though:)

Make a note for this you would require a geometric compass. First let us plot root(9.5) on number line. I want to use concept of Pythagorean theorem. We can represent root(9.5) as the hypotenuse of a right triangle with base and height length 3 and root(0.5) respectively.

Step 1:

Root(9.5) = root(9+ 0.5) 9 is 3 squared. Make the base length AB be 3 easily drawn with a ruler and then draw a line perpendicular to our number line from point B.

Now from B we have to mark point C on the dotted line which will be root(0.5) away from B.

Step 2:

Using same concept root(0.5) can be considered as the hypotenuse of a right triangle with other two sides of length 0.5.

I.e root(0.5) = root(0.25+0.25). Since a right triangle having equal lengths will be having both the remaining angles equal to 45degrees (isoceles right triangle) make a straight line inclined at 45degrees from point B and mark a point D at a distance of 0.5 from B on it.

Step 3:

From the point D mark a line perpendicular to the new dotted line joining the original dotted line as shown. The point so obtained will be C which is root(0.5) away from B.

Step-by-step explanation:

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