The commutative property of addition states that the order of the addends does not change the sum. Therefore, if you have two numbers \(a\) and \(b\), the commutative property can be written as:
\[ a + b = b + a \]
Looking at the options you provided:
A) \(4 * 6 * 5 = 4 * 5 * 6\) — This demonstrates the commutative property of multiplication, not addition.
B) \((4 * 5) * 6 = 4 * (5 * 6)\) — This demonstrates the associative property of multiplication, not the commutative property.
C) \(6 + 4 + 5 = 4 + 6 + 5\) — This demonstrates the commutative property of addition, as it shows that changing the order of the first two addends (6 and 4) does not affect the sum.
D) \(5(4 + 6) = 50\) — This is an expression involving multiplication and addition but does not demonstrate the commutative property.
Therefore, the correct answer is:
C) \(6 + 4 + 5 = 4 + 6 + 5\)
1 answer