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State true/false.

The given number line represents the rational number $− 7 8$ on it.

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True

False

answer is A.

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Detailed Solution

Given rational number is

− 7 8

.
Consider the number line where 1 division represents 1 unit length.
Question Image

We know,

- 8 < - 7 < 0

\Rightarrow \frac{- 8}{8} < \frac{- 7}{8} < \frac{0}{8}

\Rightarrow - 1 < \frac{- 7}{8} < 0

Here,

− 7 8

is greater than -1 and less than 0.
Therefore, by dividing the unit length between -1 and 0 into 8 small subdivisions, we can represent the rational number

− 7 8

as shown below:
Question Image

Thus, the given statement is true.
Hence, option (1) is correct.

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