Integer Subtraction Quick Check

4 of 54 of 5 Items

Question
Use the images to answer the question.

Model #1:
An illustration shows a row of 4 solid circles with a negative sign in the middle of each circle. The last three circles are crossed out with diagonal lines.

Model #2:
An illustration shows a single solid circle with a negative sign in the middle. Next to it are 3 more negative circles, with 3 positive circles directly below. The 3 pairs of negative and positive circles are enclosed by vertical rectangles and are crossed out with diagonal lines.
Luca is connecting a subtraction problem to a two-color counter model. He models the same problem in two ways to show how the subtraction algorithm works. What problem is Luca modeling, and what is Luca showing?

(1 point)
Responses

Luca is modeling −4−3. He is showing that −4−3 is equivalent to −4+(−3).
Luca is modeling negative 4 minus 3 . He is showing that negative 4 minus 3 is equivalent to negative 4 plus left parenthesis negative 3 right parenthesis .

Luca is modeling 4−(−3). He is showing that 4−(−3) is equivalent to 4+3.
Luca is modeling 4 minus left parenthesis negative 3 right parenthesis . He is showing that 4 minus left parenthesis negative 3 right parenthesis is equivalent to 4 plus 3 .

Luca is modeling −4−(−3). He is showing that −4−(−3) is equivalent to −4+3.
Luca is modeling negative 4 minus left parenthesis negative 3 right parenthesis . He is showing that negative 4 minus left parenthesis negative 3 right parenthesis is equivalent to negative 4 plus 3 .

Luca is modeling 4−3. He is showing that 4−3 is equivalent to 4+3.
Luca is modeling 4 minus 3 . He is showing that 4 minus 3 is equivalent to 4 plus 3 .
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Luca is modeling −4−3. He is showing that −4−3 is equivalent to −4+(−3).

Luca is modeling −4−3. He is showing that −4−3 is equivalent to −4+(−3).