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State true/false.

The rational number $2 − 3$ equal to is $− 6 9$ .

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True

False

answer is A.

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Detailed Solution

Given rational number is

2 − 3

.
The standard form of a rational number is one where the denominator of the rational number is a positive integer and the numerator and denominator share no factors other than 1.

2 − 3 = 2 × (− 1) − 3 × (− 1) = − 2 3

The standard form of

2 − 3 is − 2 3

.
Considering the rational number

− 6 9

.
So, the HCF of 6 and 9 = 3.
Dividing the numerator and denominator of

− 6 9 by 3

− 6 9 = − 6 ÷ 3 9 ÷ 3 = − 2 3

Thus, the standard form of

− 6 9

− 2 3

.
If two rational numbers have the same standard form, they are equal.
Therefore, the rational number equal to

2 − 3

− 6 9

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

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