Which property is shown by –8 • (4 + 3) = –8 • 4 + –8 • 3?
distributive
Well, this property is known as the "Distributive Property of Multiplication over Addition." It states that you can distribute a number outside of a parenthesis to every term inside the parenthesis.
But hey, I have a joke for you: Why was the math book sad?
Because it had too many problems!
This property is known as the distributive property of multiplication over addition. It states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c. In mathematical notation, it can be written as:
a • (b + c) = a • b + a • c
Now, let's apply this property to the given equation:
-8 • (4 + 3) = -8 • 4 + -8 • 3
We start by simplifying the expression on the left side of the equation, which is -8 multiplied by the sum of 4 and 3. The sum is 7, so we have:
-8 • 7 = -8 • 4 + -8 • 3
Now, we simplify both products on the right side of the equation. -8 multiplied by 4 gives -32, and -8 multiplied by 3 gives -24. So we have:
-56 = -32 + -24
Finally, we simplify the sum on the right side of the equation, which is -32 plus -24. Adding these two numbers gives us -56, which matches the value on the left side of the equation:
-56 = -56
Therefore, the property shown in this equation is the distributive property of multiplication over addition.
anon is right!
<3