Which of the following statements are true and which are false? (i) lies to the left of 0 on the number line. (ii) lies to the right of 0 on the number line. (iii) The rational numbers and are on opposite sides of 0 on the number line. (iv) The rational number lies to the left of 0 on the number line.

Question

Philoid · Accepted Answer

(i) True

is a negative number.

All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.

Hence, lies to the left of 0 on the number line.

(iii) False

is a negative number.

All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.

Hence, lies to the left of 0 on the number line.

(iii)True

is a positive number.

All positive numbers are greater than 0 and therefore, lie to the right of 0 on the number line.

Hence, lies to the right of 0 on the number line.

is a negative number.

All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.

Hence, lies to the left of 0 on the number line.

Therefore, the rational numbers, and are on opposite sides of 0 on the number line.

(iv) False

is a positive number.

All positive numbers are greater than 0 and therefore, lie to the right of 0 on the number line.

Hence, lies to the right of 0 on the number line.

Which of the following statements are true and which are false?(i) lies to the left of 0 on the number line.(ii)lies to the right of 0 on the number line.(iii) The rational numbersandare on opposite sides of 0 on the number line.(iv) The rational numberlies to the left of 0 on the number line.