Connect the model 48+(−16)+(−16)+(−16)=0 to the algorithm for solving the division problem it models.(1 point) Responses The model represents 48÷(−16), which is solved by dividing 48 by 16 to get 3. The model represents 48 divided by left parenthesis negative 16 right parenthesis , which is solved by dividing 48 by 16 to get 3. The model represents 48÷(−16), which is solved by dividing 48 by 16 and changing the sign to get −3. The model represents 48 divided by left parenthesis negative 16 right parenthesis , which is solved by dividing 48 by 16 and changing the sign to get negative 3 . The model represents 48÷16, which is solved by dividing 48 by 16 and changing the sign to get −3. The model represents 48 divided by 16 , which is solved by dividing 48 by 16 and changing the sign to get negative 3 . The model represents 48÷16, which is solved by dividing 48 by 16 to get 3.

Answer 1

The correct response is: The model represents 48÷(−16), which is solved by dividing 48 by 16 and changing the sign to get −3.

This is accurate because 48 divided by -16 results in -3. The model's set-up consists of adding three negative 16s, which is equivalent to dividing 48 by -16.

Answer 2

Connect the model −135+27+27+27+27+27=0 to the algorithm for solving the division problem it models.(1 point) Responses The model represents −135÷(−27), which is solved by dividing 135 by 27 and changing the sign to get −5. The model represents negative 135 divided by left parenthesis negative 27 right parenthesis , which is solved by dividing 135 by 27 and changing the sign to get negative 5 . The model represents −135÷27, which is solved by dividing 135 by 27 to get 5. The model represents negative 135 divided by 27 , which is solved by dividing 135 by 27 to get 5. The model represents −135÷(−27), which is solved by dividing 135 by 27 to get 5. The model represents negative 135 divided by left parenthesis negative 27 right parenthesis , which is solved by dividing 135 by 27 to get 5. The model represents −135÷27, which is solved by dividing 135 by 27 and changing the sign to get −5.

Answer 3

The correct response is: The model represents −135÷(−27), which is solved by dividing 135 by 27 and changing the sign to get −5.

This accurately reflects the division of -135 by -27, where the signs are both negative, leading to a positive result. Dividing 135 by 27 gives 5, but since both numbers are negative, the final answer is -5.

Answer 4

Connect the model −5−(−1)−(−1)−(−1)−(−1)−(−1)=0 to the algorithm for solving the division problem it models.(1 point) Responses The model represents −5÷1, which is solved by dividing 5 by 1 to get 5. The model represents negative 5 divided by 1 , which is solved by dividing 5 by 1 to get 5. The model represents −5÷(−1), which is solved by dividing 5 by 1 to get 5. The model represents negative 5 divided by left parenthesis negative 1 right parenthesis , which is solved by dividing 5 by 1 to get 5. The model represents −5÷1, which is solved by dividing 5 by 1 and changing the sign to get −5. The model represents negative 5 divided by 1 , which is solved by dividing 5 by 1 and changing the sign to get negative 5 . The model represents−5÷(−1), which is solved by dividing 5 by 1 and changing the sign to get −5.

Answer 5

The correct response is: The model represents −5÷(−1), which is solved by dividing 5 by 1 and changing the sign to get −5.

This accurately reflects the division of -5 by -1. When you divide -5 by -1, the result is positive 5. Thus, the model illustrates this division operation correctly.