Identify the property illustrated by the statement
-2(5+9)=-2•5+(-2)•9
A) associative property of addition
B) associative property of multiplication
C) distributive property
D) commutative property of multiplication
25+73+456+37
65296
The property illustrated by the statement -2(5+9)=-2•5+(-2)•9 is the distributive property.
To identify the property illustrated by the statement -2(5+9)=-2•5+(-2)•9, we need to analyze the mathematical operations used in the statement.
The distributive property states that for any three numbers a, b, and c:
a • (b + c) = a • b + a • c
In the given statement, we have:
-2(5+9)
We can apply the distributive property by multiplying -2 with both 5 and 9 individually:
= -2•5 + (-2)•9
Thus, the property illustrated by the statement is the distributive property (C).