Which of the following is an example of the Commutative Property of Multiplication?
(1 point)
a.6 × 1 = 6 6 × 1 = 6
b.2 × (6 + 3) = (2 × 6) + (2 × 3) 2 × 6 + 3 = c.2 × 6 + 2 × 3
d.2 + 6 = 6 + 2 2 + 6 = 6 + 2
e.6 × 2 = 2 × 6 6 × 2 = 2 ×6
e. 6 × 2 = 2 × 6
The correct example of the Commutative Property of Multiplication is:
e. 6 × 2 = 2 × 6
The Commutative Property of Multiplication states that the order of the factors does not affect the product. In other words, when multiplying two numbers, you can switch the order of the numbers and still get the same result.
To determine which example demonstrates the Commutative Property of Multiplication, we need to look for an equation where the order of the factors is switched.
Let's examine the options:
a. 6 × 1 = 6 and 6 × 1 = 6. This equation does not involve switching the order of the factors.
b. 2 × (6 + 3) = (2 × 6) + (2 × 3) and 2 × 6 + 3 = 2 × 6 + 2 × 3. This equation shows the Distributive Property of Multiplication, not the Commutative Property.
c. 2 × 6 + 2 × 3. This equation involves addition and multiplication, not just multiplication.
d. 2 + 6 = 6 + 2 and 2 + 6 = 6 + 2. This equation shows the Commutative Property of Addition, not the Commutative Property of Multiplication.
e. 6 × 2 = 2 × 6 and 6 × 2 = 2 × 6. This equation involves the switching of factors, so it demonstrates the Commutative Property of Multiplication.
Therefore, option e. 6 × 2 = 2 × 6 is an example of the Commutative Property of Multiplication.