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Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.

Identify the expression that uses adding the additive inverse to rewrite the expression.

(1 point)
Responses

–16 + 7 + (–22) + 12
–16 + 7 + (–22) + 12

16 + (–7) + 22 + (–12)
16 + (–7) + 22 + (–12)

–16 + (–7) + (–22) + (–12)
–16 + (–7) + (–22) + (–12)

16 + (–7) + 22 + 12

1 answer

To rewrite the expression \( 16 - 7 + 22 - 12 \) using the additive inverse, we can express the subtractions as additions of negative numbers.

This means we can rewrite:

  • \( 16 \) as \( 16 \)
  • \( -7 \) as \( + (-7) \)
  • \( 22 \) as \( 22 \)
  • \( -12 \) as \( + (-12) \)

Combining these, the expression becomes:

\[ 16 + (-7) + 22 + (-12) \]

Thus, the correct response is:

16 + (–7) + 22 + (–12)