Question

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

Select each correct answer.

Responses

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

A driver drives 40 miles north and 30 miles south.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

A plane ascends 500 yards and descends 100 yards.

Answer 1

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

Explanation:

Additive inverse is when you have a number, like 5 and you add or subtract that same number to get zero, for example 5-5=0, in this question, the answers would be

"A person deposits $100 in to her bank account and then withdraws $100 from the same account." is a CORRECT answer because the add 100 and remove 100.

"A driver drives 40 miles north and 30 miles south." is an INCORRECT answer because it has 2 different numbers.

"Twenty gallons of water leak from a pool and 20 gallons are put back into the pool." is a CORRECT answer because it shows how you have a pool and it loses 20, and you add 20.

"A plane ascends 500 yards and descends 100 yards." Is an INCORRECT answer because of the two different numbers.

Answer 2

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

Additive inverses are two numbers with the opposite signs:

100 and –100

–20 and 20