Question

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left. (16 – 5) + (12 – 11) Which expression correctly uses the additive inverse and properties of operations to show the same value? (–16 + –12) + (–5 + –11) 16 + (–5 ) – 12 + (–11) 16 + 12 + (11 – 5) (16 + 12) + (–5 + –11)

Answer 1

D : (16 + 12) + (–5 + –11)

Explanation:

Just did the question.

Answer 2

Answer: Last Option

`(16 + 12) + (- 5-11)`

Explanation:

The associative property states that no matter the order in which you add the number groups, the result will always be the same.

The original expression is as follows:

`(16 - 5) + (12 - 11) = 12`

Now if we apply the associative property we can rewrite the expression as shown:

`(16 + 12) + (- 5 + (- 11))`

Now notice that the result remains the same:

`(16 + 12) + (- 5-11) = 12`

Therefore the correct answer is the last option