85.6k views
3 votes
Which 2 of the following expressions represent the distance between −4/3 and 1/3?

a) 1/3 - (-4/3)
b) -4/3 - 1/3
c) 4/3 - 1/3
d) -1/3 - (-4/3)

User Igo
by
7.9k points

1 Answer

0 votes

Final answer:

The two expressions representing the positive distance between −4/3 and 1/3 are 1/3 - (−4/3) from option a) and −1/3 - (−4/3) from option d), both simplifying to positive fractions.

Step-by-step explanation:

The distance between two points on a number line is the absolute value of the difference between the coordinates of these points. To calculate the distance between −4/3 and 1/3, we need to find the positive difference between the two.

Option a) 1/3 - (−4/3) calculates this difference and simplifies to 1/3 + 4/3, which equals 5/3. This is the positive distance, as required.

Option d) −1/3 - (−4/3) also calculates the difference between the two numbers and simplifies to −1/3 + 4/3, which equals 3/3 or 1, another positive distance.

Options b) and c) both result in negative and lesser values respectively, which do not represent the actual distance between the points when considering distance as a positive value.

User Stephen Watkins
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories