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State true or false.

The $3. 35 ¯$ upto 3 places of decimals on the number line is,

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True

False

answer is A.

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Detailed Solution

It is given,

3. 35 ¯

on number line is
Question Image

3. 35 ¯ = 3.353535 … …

=3.353 (upto 3 place of decimals)
Understand that the number

3.353

will lie between

3

and

4

on the number line and look at the portion of the number line between

3

and

4

Then divide the portion between

3

and

4

into

10

equal parts and mark each point of the division.
Observe that the

5 t h

and

6 t h

mark of the sub-division corresponds to

3.35

and

3.36

respectively.
Question Image

Divide the portion between

3.35

and

3.36

again into

10

equal parts.
Therefore, the

3 r d

marks of this subdivision represents

3.353

So, the given statement is true.
Hence, the correct option is 1.

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