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State true or false. The rational numbers $38, − 7 3$ and $22 − 6$ and will be represented on the number line as,

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True

False

answer is A.

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Detailed Solution

Here, we are given the representation of three rational numbers viz.,

38, − 7 3

and

22 − 6

on a number line as shown above.
So, we have the decimal representations as follows,

38 = 0.375 − 7 3 = − 2.3 − 22 6 = − 3.67

Based on the decimal representations as above, we can say that

38

will lie between 0 and 1, and will be closer to 0.
Next,

− 7 3

will lie between –2 and –3, and will be closer to –2.
And,

22 − 6

− 22 6

will lie between –3 and –4, and will be closer to –4.
So, we can observe that the representation is the same as per our analysis, which is,
Question Image

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

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