Question

Which statement about the locations of the rational numbers on the number line

Answer 1

Answer:

$\boxe{\boxed{\text{Option B. - 4/3 is farthest to the left and 7/8 is farthest to the right}}$

Explanation:

The number line represents the numbers in a line with marks evenly spaced. The negative numbers are to the left of the zero mark, the positive numbers are to the right of the zero mark. The more negative the number, the farther to the left of the zero it is; the greater the number (more positive), the farther to the right of the zero it is.

To compare fractions you can either convert to decimals or to convert to equivalent fractions with the same denominator. In the first case, many times you will have to round numbers (making approximations).

Since, you added the handwritten to convert to decimals, I will do it in that way:

• - 2/3 ≈ - 0.667

• 7/8 = 0.875

• - 4/5 = - 0.8

• 7/10 = 0.7

• -4/3 ≈ -1.333

Then, you can order them in increasing order, which is the same that from left to right on the number line:

• -1.333 < - 0.8 < - 0.667 < 0 < 0.7 < 0.875, which is:

• -4/3 < < - 4/ 5 < - 2/3 < 0 < 7/10 < 7/8

Hence, - 4/3 is farthest to the left and 7/8 is farthest to the right, which is the option B.