The rational numbers -12/5 and 7/5 are on the opposite sides of zero on the number line . Which of the following is not true for the rational number (-6)/5 on same number line *
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Since the given rational number
−17
−12
can be multiplied by −1 on both numerator and denominator so it becomes positive number
−17×−1
−12×−1
=
17
12
Since
17
12
Is a positive number, all the positive numbers are >0 and so all the positive number lie to the right of 0 on the number line.
Since
7
−7
is a negative number, all the negative numbers are <0 and so all the negative numbers lie to the left of 0 on the number line.
∴ The above statement is true both the rational numbers lie on opposite sides.
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