PLZZZ HELPPPPP
Which property is shown by –2 • (7 + 5) = –2 • 7 + –2 • 5?
Identity Property of Addition
Commutative Property of Addition
Associative Property of Addition
Distributive Property
@oobleck the last one which is distributive property right?
some one helpp
you mean, out of only four properties, you can't pick the one which applies?
They are
a+0 = a
a+b = b+a
a+(b+c) = (a+b)+c
a(b+c) = ab + ac
which one matches the pattern of your problem?
anyone got an answer?
To determine which property is shown in the equation –2 • (7 + 5) = –2 • 7 + –2 • 5, let's understand what each property means and apply them to the equation:
1. Identity Property of Addition:
This property states that when you add 0 to any number, the result remains the same. It does not appear to apply in this equation because there is no addition of 0.
2. Commutative Property of Addition:
This property states that the order of numbers can be changed without affecting the result of addition. For example, a + b = b + a. However, this property does not apply to the equation because the addition is inside the parentheses.
3. Associative Property of Addition:
This property states that when adding three or more numbers, it does not matter how you group them. For example, (a + b) + c = a + (b + c). However, this property also does not apply to the equation because there is no addition of three or more numbers.
4. Distributive Property:
This property states that when multiplying a number by the sum or difference of two numbers, you can distribute the multiplication to each term separately. It is represented as a(b + c) = ab + ac. This property applies to the equation because there is multiplication and a sum involved.
Using the distributive property, let's solve the equation step by step:
-2 • (7 + 5) = -2 • 7 + -2 • 5
Applying the distributive property:
-2 • 7 + -2 • 5 = -14 + -10
Combining like terms:
-14 + -10 = -24
Therefore, the property shown in the equation is the Distributive Property.