Question

Explain with reason why the given statements are True or False: (i) The rational number (-12/-17) lies to the left of zero on the number line. (ii) The rational number (- 3/-5) is on the right of (- 4/7) on the number line. (iii) The rational number (-2/15) and (7/-31) are on the opposite side of zero on the number line​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

1 False 2 False 3 False

Step-by-step explanation:

(i) The rational number (-12/-17) lies to the left of zero on the number line.

-12/-17 = 12/17 when simplified.

So, it is false. It lies right of the zero in number line.

(ii) The rational number (- 3/-5) is on the right of (- 4/7) on the number line.

-3/-5 = 3/5 when simplified.

So, it is false. It does not lie in the right of -4/7, instead it lies on the right if zero.

(iii) The rational number (-2/15) and (7/-31) are on the opposite side of zero on the number line.

7/-31 = -7/31 when simplified.

So, as -2/15 and -7/31 are of same sign. They are not on the opposite side of zero on the number line. Hence, it is false.