Question

Given -3/4, which of the following shows the sum of the number indicated on the number line above and 3/4?

a. -3/4 + 3/4 = 0
b. -3/4 + 3/4 = -3/2
c. -3/4 + 3/4 = -1/2
d. -3/4 + 3/4 = -1

Answer 1

To find the sum of -3/4 and 3/4, we add a negative fraction to its positive counterpart, resulting in 0 because they cancel each other out.

Step-by-step explanation:

The question asks for the sum of -3/4 and 3/4. When we combine these two fractions, we are combining a number with its additive inverse.
Here's how:

1. -3/4 is a negative fraction representing three parts out of four taken away.
2. +3/4 is a positive fraction representing three parts out of four added.
3. Since we are adding equal parts but with opposite signs, they cancel each other out, resulting in 0.

Therefore, the correct answer is a. -3/4 + 3/4 = 0.