Question

What is the distance between -12/3 and 13/4 on a number line?

a) 2^5 units
b) 1^1/12 units
c) 2^1/12 units
d) 2^2/3 units

Answer 1

The distance on a number line between -12/3 and 13/4 is 29/4 or 7 1/4 units. The multiple-choice options given do not include the correct answer.

Step-by-step explanation:

The question asks for the distance between two numbers on a number line: -12/3 and 13/4. First, convert -12/3 to a decimal or simplified fraction to make it easier to work with. -12/3 simplifies to -4.

Next, converting 13/4 to a decimal gives us 3.25. To find the distance between these two points on a number line, we subtract the smaller number from the larger number: 3.25 - (-4) = 3.25 + 4 = 7.25.

Finally, we convert the decimal to a fraction, which is 29/4 or 7 1/4 units.

Therefore, none of the multiple-choice options (a, b, c, or d) provided in the question are correct.