What model can you use to represent 2⋅(−4)?(1 point)
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The model that can be used to represent 2⋅(−4) is a number line.
What model can you use to represent 2⋅(−4)
?(1 point)
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Art can serve many purposes. Here, an artist created bowls and plates that are used every day. What other artistic creations are used on a daily basis?
(1 point)
Responses
clothing
clothing
sculptures
sculptures
paintings
paintings
drawings
drawings
To represent 2⋅(−4), you can use the model of multiplication. In this case, the model represents 2 times the value of -4.
To represent 2⋅(−4), you can use the additive inverse property or the distributive property.
Option 1: Additive Inverse Property
The additive inverse property states that multiplying a number by its additive inverse (or opposite) will result in the additive identity, which is 0. The additive inverse of any number is the number that, when added to it, gives a sum of 0.
So, for 2⋅(−4), you can use the additive inverse property to find the solution:
2⋅(−4) = 0.
Option 2: Distributive Property
The distributive property states that you can distribute a factor to each term inside parentheses.
For 2⋅(−4), you can apply the distributive property as follows:
2⋅(−4) = 2⋅(−1)⋅4.
Now, you can multiply each factor separately:
2⋅(−1)⋅4 = −2⋅4.
Finally, you can multiply the two numbers:
−2⋅4 = −8.
So, 2⋅(−4) can be represented as −8.