What does the model represent?
−15+3+3+3+3+3=−15+5(3)=0
(1 point)
Responses
−15÷−5
negative 15 divided by negative 5
3⋅−5
3 times negative 5
15÷3
15 divided by 3
−15÷3
negative 15 divided by 3
To solve the equation −15 + 3 + 3 + 3 + 3 + 3 = −15 + 5(3) = 0, we can break it down step by step:
Step 1: Start with the given equation −15 + 3 + 3 + 3 + 3 + 3.
Step 2: Add the numbers from left to right: −15 + 3 = -12, -12 + 3 = -9, -9 + 3 = -6, -6 + 3 = -3, -3 + 3 = 0.
Step 3: Simplify the right side of the equation −15 + 5(3).
Step 4: Multiply 5 and 3: 5(3) = 15.
Step 5: Add -15 and 15: −15 + 15 = 0.
Step 6: Compare the results from Step 2 and Step 5, and we can see that both sides of the equation simplify to 0.
Therefore, the equation −15 + 3 + 3 + 3 + 3 + 3 = −15 + 5(3) = 0 represents the fact that the two sides of the equation are equal to each other.