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Question

Mark the correct alternative in each of the following:

Which of the following pairs of rational numbers are on the opposite side of the zero on the number line?

(a) 37 and 512 (b) -37 and -512 (c) 37 and -512 (d) None of these

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Solution


The rational numbers 37 and 512 are positive rational numbers. We know that every positive rational number is greater than 0, so both the rational numbers 37 and 512 are represented by points on the right of the zero on the number line.

The rational numbers -37 and -512 are negative rational numbers. We know that every negative rational number is less than 0, so both the rational numbers 37 and 512 are represented by points on the left of the zero on the number line.

The rational numbers 37 is a positive rational number whereas the rational number -512 is a negative rational numbers. We know that every negative rational number is less than 0 and every positive rational number is greater than 0, so the rational number 37 is represented by point on the right of the zero and -512 is represented by point on the left of the zero on the number line.
Thus, the rational numbers 37 and -512 are on the opposite side of the zero on the number line.

Hence, the correct answer is option (c).

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