# Which equation illustrates the identity property of multiplication

Question 1

Question 2

Which Property Is Illustrated In Each Of The Following:

Question 3

1. Write an equation to illustrate the Commutative Property of Multiplication. Choose from the numbers 2, 5, and 8.

2. Write an equation to illustrate the Multiplicative Identity Property. Choose from the numbers 2, 5, and 8.

3. Write an equation to illustrate the Additive Inverse Property. Choose from the numbers 2, 5, and 8.

4. Write an equation to illustrate the Associative Property of Addition. Choose from the variables w, x, and y.

5. Write an equation to illustrate the Distributive Property. Choose from the variables w, x, and y.

General Guidance

The answer provided below has been developed in a clear step by step manner.
Step: 1

The objective is to determine the property illustrated in each of the following

(a) 3 * (5 * 4) = (3 * 5) * 4

(b) 3 *(5 * 4) = 3 * (4 * 5)

(c) 3 *(5 * 4) = (5 * 4) * 3

(d) 1* (5 * 4) = (5 * 4)

(e) (2+1)* 0 = 0

(f) (3+5)(2+4) = (3+5)2 + (3+5)4

Explanation:Please refer to solution in this step.
Step: 2

(a) 3 * (5 * 4) = (3 * 5) * 4

The property illustrated here is associativity property of multiplication operation.

Explanation:

Multiplication is associative that is (a * b) *c =a*(b * c).Step: 3

(b) 3 *(5 * 4) = 3 * (4 * 5)

The property illustrated here is comutativity property of multiplication operation.

Explanation:

Multiplication is comutative that is (a * b) = (b * a).Step: 4

(c) 3 *(5 * 4) = (5 * 4) * 3

The property illustrated here is comutativity property of multiplication operation.

Explanation:

Multiplication is comutative that is (a * b) = (b * a).Step: 5

(d) 1* (5 * 4) = (5 * 4)

The property illustrated here is the identity property of multiplication operation.

Explanation:

The identity element for multiplication is 1 such that a * 1 = 1 * a = a.Step: 6

(e) (2+1)* 0 = 0

The property illustrated here is the zero multiplication property.

Explanation:

According to the zero multiplication property, 0 * a = 0Step: 7

(f) (3+5)(2+4) = (3+5)2 + (3+5)4

The property illustrated here is the distributive property of multiplication over addition.

Explanation:

The distributive property of multiplication over addition is a * (b + c)= (a * b) + (a * c)

The properties used in the given expressions can be determined using the properties of multiplication operation.

The answer provided below has been developed in a clear step by step manner.
Step: 1

Each real number is said to be the additive inverse of the other when the sum of two real numbers are zero. As a result, R + (-R) = 0, with R being a real number. The additive inverses of each other are R and –R.

Explanation:Please refer to solution in this step.
Step: 2

(1)

The given numbers are 2, 5 and 8.

The equation of commutative property of multiplication can be written as follows:

Explanation:Please refer to solution in this step.

Step: 3
(2)

The given numbers are 2, 5 and 8.

The equation of multiplicative identity property can be written as follows:

Explanation:Please refer to solution in this step.
Step: 4

(3)

The given numbers are 2, 5 and 8.

The equation of additive inverse property can be written as follows:

Explanation:Please refer to solution in this step.
Step: 5

(4)

The given variables are w, x, and y.

The equation of associative property of addition can be written as follows:

Explanation:Please refer to solution in this step.
Step: 6

(5)

The given variables are w, x, and y.

The equation of distributive property can be written as follows:

Explanation:Please refer to solution in this step.