Visualise 2.665 on the number line, using successive magnification.

The following steps for successive magnification to visualise 2.665 are:

(1) We observe that 2.665 is located somewhere between 2 and 3 on the number line. So, let us look at the portion of the number line between 2 and 3.



(2) We divide this portion into 10 equal parts and mark each point of division. The first mark to the right of 2 will represent 2.1, the next 2.2 and soon. Again we observe that 2.665 lies between 2.6 And 2.7.



(3) We mark these points A1 and A2 respectively. The first mark on the right side of A1, will represent 2.61, the number 2.62, and soon. We observe 2.665 lies between 2.66 and 2.67.



(4) Let us mark 2.66 as B1 and 2.67 as B2. Again divide the B1B2 into ten equal parts. The first mark on the right side of B1 will represent 2.661, then next 2.662, and so on.


Clearly, fifth point will represent 2.665.



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