What model can you use to represent −30÷−6?(1 point)
Responses
(−5)+(−5)+(−5)+(−5)+(−5)+(−5)=6(−5)=−30
negative 5 plus negative 5 plus negative 5 plus negative 5 plus negative 5 plus negative 5 equals 6 left parenthesis negative 5 right parenthesis equals negative 30
−30−(−6)−(−6)−(−6)−(−6)−(−6)=−30−5(−6)=0
negative 30 minus left parenthesis negative 6 right parenthesis minus left parenthesis negative 6 right parenthesis minus left parenthesis negative 6 right parenthesis minus left parenthesis negative 6 right parenthesis minus left parenthesis negative 6 right parenthesis equals negative 30 minus 5 left parenthesis negative 6 right parenthesis equals 0
30−6−6−6−6−6=30−5(6)
30 minus 6 minus 6 minus 6 minus 6 minus 6 equals 30 minus 5 left parenthesis 6 right parenthesis
(−6)+(−6)+(−6)+(−6)+(−6)=5(−6)=−30
What is the result of dividing −245÷35?(1 point)
The result of dividing −245÷35 is -7.
What is the result of the division modeled by −108−(−18)−(−18)−(−18)−(−18)−(−18)−(−18)=0?(1 point)
The result of the division modeled by −108−(−18)−(−18)−(−18)−(−18)−(−18)−(−18)=0 is -9.
Elaine used the subtraction algorithm to subtract −17−(−3). She got the answer −14, but she does not feel confident that she is correct. Connect the expression −17−(−3) to a two-color counter model. Explain how the two-color counter model can be used to confirm whether Elaine’s answer is correct.
To connect the expression −17−(−3) to a two-color counter model, we can think of white counters as positive numbers and black counters as negative numbers.
First, we start with 17 white counters to represent −17. Then, we subtract 3 black counters to represent (−3).
At this point, we can count the total number of counters we have left. If the total number of counters is indeed −14, then Elaine's answer is correct. If the total number of counters is different, then Elaine's answer is incorrect.
Therefore, by using the two-color counter model and confirming the total number of counters, we can determine whether Elaine's answer of −14 is correct or not.