Which of the following shows the Commutative Property of Multiplication?(1 point)
Responses
a×1=a
a×(−1)=−a
a×(b×c)=(a×b)×c
a×b=b×a
a×b=b×a
bot is right
Yes, the correct answer is: a×b=b×a. This equation represents the Commutative Property of Multiplication, which states that the order of the factors does not affect the product.
multiply 4/9 by -3. write the answer as a mixed number in simplest form.
The correct answer is: a×b=b×a.
The Commutative Property of Multiplication states that the order of the numbers being multiplied does not affect the result. In other words, you can multiply two numbers in any order and still get the same product.
To determine which of the given options demonstrate the Commutative Property of Multiplication, let's analyze each one:
Option a: a×1=a
In this case, we are multiplying 'a' by 1, which is the multiplicative identity. This equation simply states that any number multiplied by 1 is equal to the number itself. While this is a valid multiplication equation, it does not represent the Commutative Property of Multiplication.
Option b: a×(−1)=−a
Here, we are multiplying 'a' by -1. This equation shows the result of negative multiplication, but it does not demonstrate the Commutative Property.
Option c: a×(b×c)=(a×b)×c
This equation represents the Associative Property of Multiplication, which states that the grouping of numbers being multiplied does not affect the result. While it is an important property, it is not related to the Commutative Property.
Option d: a×b=b×a
This equation shows that multiplying 'a' by 'b' is equal to multiplying 'b' by 'a'. This is a clear example of the Commutative Property of Multiplication. Regardless of the order of 'a' and 'b', the result will be the same.
Therefore, the correct option that demonstrates the Commutative Property of Multiplication is d: a×b=b×a.