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Visualise 2. 665 on the number line, usi...

Visualise `2. 665` on the number line, using successive magnification.

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We know that `2.665` lies between `2` and `3`.
So, we divide the number line into `10` equal parts and mark each point of division.
The first mark on the right of `2` will be `2.1` followed by `2.2` and so on.
The point left of `3` will be `2.9`.
Now, the magnified view of this will show that `2.665` lies between `2.6` and `2.7`. So, our focus will be now 2.6 and `2.7`. We divide this again into `10` equal parts.
The first part will be `2.61` followed by `2.62` and so on.
We now magnify this again and find that `2.665` lies between `2.66` and `2.67`.
So, we magnify this portion and divide it again into `10` equal parts.
The first part will represent `2.661`, next will be `2.662` and so on.
So, `2.665` will be `5th` mark in this subdivision.
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RD SHARMA-NUMBER SYSTEM-All Questions
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  2. Find whether the following statements are true or false. Every real...

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  3. Visualise 2. 665 on the number line, using successive magnification.

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  4. Visualise the representation of 5.3bar7on the number line upto 5 decim...

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  5. Which one of the following is a correct statement? </br>Decimal expan...

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  7. Which of the following is a correct statement? (A)Sum of two irratio...

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  9. Which of the following is irrational? A.sqrt(4/9) B. 4/5 C. sqrt(...

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  11. Which of the following is rational? sqrt(3) (b) pi (c) 4/0 ...

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  13. If n is a natural number, then sqrt(n) is: (a) always a natural number...

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  14. Which of the following numbers can be represented as non-terminating, ...

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  15. Every point on a number line represents as: (a) a unique real number ...

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  16. An irrational number between 2\ a n d\ 2. 5 is sqrt(11)\ (b) sqrt...

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  17. Which of the following is irrational? 0. 15\ (b) 0. 01516 (c) 0. 1...

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