Starting at 12 on the number line, you must move 17 units in the negative direction to get to −5.
This explanation is incorrect. The correct explanation is: Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
Miki is trying to help her younger brother understand why 12−(−5) is equal to 17. She draws a number line to help. Explain how a number line could help to show that 12−(−5) is equal to 17. (1 point)
Responses
Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
Starting at −5 on the number line, you must move 17 units in the positive direction to get to 12.
Starting at negative 5 on the number line, you must move 17 units in the positive direction to get to 12.
Starting at −5 on a number line, you must move 12 units in the positive direction to get to 17.
Starting at negative 5 on a number line, you must move 12 units in the positive direction to get to 17.
Starting at 12 on the number line, you must move 17 units in the negative direction to get to −5.
5 answers
Connect the model −(7+7+7+7+7+7) to the algorithm for solving the multiplication problem it models.(1 point)
Responses
The model represents 7⋅(−6), which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents 7 times left parenthesis negative 6 right parenthesis , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents 6⋅(−7), which is solved by multiplying 6 times 7 and changing the sign to get −42.
The model represents 6 times left parenthesis negative 7 right parenthesis , which is solved by multiplying 6 times 7 and changing the sign to get negative 42 .
The model represents −7⋅6, which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents negative 7 times 6 , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents −6⋅7, which is solved by multiplying 6 times 7 and changing the sign to get −42.
Responses
The model represents 7⋅(−6), which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents 7 times left parenthesis negative 6 right parenthesis , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents 6⋅(−7), which is solved by multiplying 6 times 7 and changing the sign to get −42.
The model represents 6 times left parenthesis negative 7 right parenthesis , which is solved by multiplying 6 times 7 and changing the sign to get negative 42 .
The model represents −7⋅6, which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents negative 7 times 6 , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents −6⋅7, which is solved by multiplying 6 times 7 and changing the sign to get −42.
The model represents 7⋅(−6), which is solved by multiplying 7 times 6 and changing the sign to get −42.
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
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
(−6)+(−6)+(−6)+(−6)+(−6)=5(−6)=−30