Question

Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.

1. Daniella overdraws her account by $70 and then deposits $100 in the account.
2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.
3. A lithium ion has 3 positively charged protons and 2 negatively charged electrons.
4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.

Answer 1

There are two statements here, showing quantities in real world which are additive inverse of each other :

2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.

here, we can depict going up as +2 miles and going down the trail as -2

4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.

And here we can assume going up the ground aa + 2000 ft and going down aa - 2000 ft .

Answer 2

The options are (2) and (4).

Explanation:

2. Noa hiked 2 mi up a mountain trail and then hiked 2 mi down the trail.

→ Up 2 mi (+2) and down 2 mi (-2).

4. A hot-air balloon ascends 2000 ft from the ground and then descends 2000 ft.

→ Here they are, ascends 2000 ft (+2000) and descends 2000 ft (-2000).