Eight rational numbers are plotted on a number line.

A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.

Which of the following is true about opposite numbers?

Point D and Point A are opposite rational numbers because they are the reciprocal of each other.
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
Point D and Point H are opposite rational numbers because they are the opposite reciprocals of each other.
Point D and Point F are opposite rational numbers because Point F is farther away from zero than Point D.

Question

09-09-2022
Mathematics

contestada

Eight rational numbers are plotted on a number line.

A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.

Which of the following is true about opposite numbers?

Point D and Point A are opposite rational numbers because they are the reciprocal of each other.
Point D and Point E are opposite rational numbers because they are the same distance away from zero.
Point D and Point H are opposite rational numbers because they are the opposite reciprocals of each other.
Point D and Point F are opposite rational numbers because Point F is farther away from zero than Point D.

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joaobezerra joaobezerra · Answer 1 · 2022-09-16T20:27:08+02:00

The correct option regarding opposite rational numbers is given as follows:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

What are opposite rational numbers?

Rational numbers are all the numbers that can be represented by fractions. The opposite of a rational number is the number with the exchanged signal, for example, -2 is the opposite of 2 and vice-versa.

For this problem, we have that:

D = -2/3.

E = 2/3.

Same absolute value(distance from 0), different signals, hence the correct option is given by:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

More can be learned about rational numbers at https://brainly.com/question/12088221

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