true or false, Distributive property says that you can give out a factor to both numbers in a sum then add them together afterward
I believe the answer is yes (assuming I read the question correctly).
For example:
3*(4+5) = 3*(9) = 27
or
3*(4+5) = 3*(4)+3*(5) = 12+15 = 27
True.
The distributive property is a fundamental property in mathematics that applies to operations like addition and multiplication. Specifically, when dealing with addition and multiplication together, the distributive property allows you to distribute a factor to both numbers in a sum and then add them together afterward.
In mathematical notation, the distributive property states:
a * (b + c) = (a * b) + (a * c)
Let's break it down with an example:
Suppose we have the expression 2 * (3 + 4). According to the distributive property, we can distribute the factor 2 to both 3 and 4, then add the results together afterward.
First, distribute the 2:
2 * (3 + 4) = (2 * 3) + (2 * 4)
Then, perform the multiplications:
(2 * 3) + (2 * 4) = 6 + 8
Finally, add the results together:
6 + 8 = 14
So, using the distributive property, we can simplify the expression 2 * (3 + 4) to 14. This property is extremely useful when dealing with algebraic expressions and simplifying equations.