Question
Visualise $2.665$ on the number line, using successive magnification.
✓
Answer
The following steps for successive magnification to visualise 2.665 are:
Clearly, fifth point will represent $2.665.$
- 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.
- We divide this portion onto 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
- We mark these points $A _1$ and $A _2$ respectively. The first mark on the right side of $A _{\text {, will represt rent } 2.61 \text {, the }}$ number 2.62 , and soon. We observe 2.665 lies between 2.66 and 2.67 .
- Let us mark 2.66 as $B_1$ and 2.67 as $B_2$. Again divide the $B_1 B_2$ into ten equal parts. The first mark on the right side of $B_1$ will represent 2.661 , then next 2.662 , and so on.
Clearly, fifth point will represent $2.665.$
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