Name the property that the following statement illustrates.
38 x π = π x 38
Choose the correct property below.
A.
Associative property of addition
B.
Commutative property of addition
C.
Identity property of addition
D.
Associative property of multiplication
E.
Commutative property of multiplication
F.
Identity property of multiplication
E.
Commutative property of multiplication
E. Commutative property of multiplication
The property that the statement "38 x π = π x 38" illustrates is the Commutative property of multiplication.
To determine this, we need to understand what each option represents:
A. Associative property of addition: This property states that the grouping of numbers in an addition operation doesn't affect the result, e.g., (a + b) + c = a + (b + c).
B. Commutative property of addition: This property states that the order of the numbers in an addition operation doesn't affect the result, e.g., a + b = b + a.
C. Identity property of addition: This property states that the number 0 when added to any number leaves the number unchanged, e.g., a + 0 = a.
D. Associative property of multiplication: This property states that the grouping of numbers in a multiplication operation doesn't affect the result, e.g., (a x b) x c = a x (b x c).
E. Commutative property of multiplication: This property states that the order of the numbers in a multiplication operation doesn't affect the result, e.g., a x b = b x a.
F. Identity property of multiplication: This property states that the number 1 when multiplied by any number leaves the number unchanged, e.g., a x 1 = a.
Given that the statement "38 x π = π x 38" demonstrates the switching of the order of factors without affecting the result, it aligns with the definition of the Commutative property of multiplication. Therefore, the correct answer is E. Commutative property of multiplication.