Consider this set of fractions. 2/3 , negative 2/3, 1, -1, 1/3, negative 1/3 Explain the order and placement of these numbers on a number line.​

Respuesta :

Answer:

Summarizing, we place the fractions provided in this order from left to right:

-1 < -2/3 < - 1/3 < 1/3 < 2/3 < 1

or in order from right to left on the number line:

1 > 2/3 > 1/3 > -1/3 > -2/3 > -1

Step-by-step explanation:

1. Let's place the set of fraction numbers given on a number line. We'll place the lowest on the extreme left and we'll continue to place the rest until we place the highest on the extreme right, this way:

On the extreme left:

Negative 1 (It is the lowest number)

The next one from the left to right is:

Negative 2/3

- 2/3 > - 1

The next one, to the right of - 2/3 is:

Negative 1/3

- 1/3 > - 2/3

The fourth from left to right is:

1/3

Positive numbers are always bigger than negative numbers and 1/3 is the lowest positive number we have in this set.

The fifth from left to right is:

2/3

Finally, the highest number in this set and in the extreme right of the number lines is;

1

Summarizing, we place the fractions provided in this order from left to right:

-1 < -2/3 < - 1/3 < 1/3 < 2/3 < 1

or in order from right to left on the number line:

1 > 2/3 > 1/3 > -1/3 > -2/3 > -1

Answer:

Sample Response: The negative numbers go to the left of zero, and the positive ones go to the right. Numbers get larger as you move to the right.

The correct order is −1, −

2

3

, −

1

3

,

1

3

,

2

3

, 1.

Step-by-step explanation: