**What is identity property of multiplication?**

According to the property, **if we multiply any given number with 1, we will get the same number**.

The property can be expressed as:

Where A can be any possible real number.

**Why the property is named as “Identity”?**

Because after multiplying the number A with 1, we get back the same number A.

The identity of number A is protected after the multiplication, that’s why the property is called identity property.

**Identity Property Explanation using Number line**

Let A = 5

Using identity property:

⟹ A x 1

⟹ 5 x 1

⟹ 5

**Example of Identity Property**

**Example 01**

Let A = 9

Calculate A x 1

⟹ A x 1

⟹ 9 x 1

⟹ 9

Hence, 9 x 1 = 9

**Example 02**

Let A = 1/3

Calculate A x 1

⟹ A x 1

⟹ 1/3 x 1

⟹ 1/3

Hence, 1/3 x 1 = 1/3

**Example 03**

Let A = -11

Calculate A x 1

⟹ A x 1

⟹ -11 x 1

⟹ -11

**Note:**

In all the above examples, **the value of number remains the same after multiplication with 1**.

**Frequently asked questions on Identity Property?**

**How is identity different from inverse property of multiplication?**

**Identity Property** says that if you **multiply any number with 1, you will get the same number**.

**Inverse Property** says that** multiplication of any number with its reciprocal results in number 1**.

**Difference between Identity Property and Zero property of multiplication**

**Identity Property**

Multiplication of any number with 1 results in same number

**Zero Property**

Multiplication of any number with 0 results in 0

**How is Commutative Property different from Identity Property of Multiplication?**

**Commutative Property:**While multiplying two or more numbers, changing the location of number will not affect the final result.

Identity Property is all about multiplication of number with 1.

**If we multiply number with 2, will it still be identity property?**

No!!!

When we multiply any number with 2, we get completely different number.

**For example**:

Let A = 5

Calculate A x 2

⟹ A x 2

⟹ 5 x 2

⟹ 10

Here 10 is completely different number.**The identity of number 5 is changed after multiplication**, hence this operation cannot be called Identity Property.

**Will the identity property works for division?**

Yes!!

If we divide any number with 1, we will get the same number.

**What is identity property of addition?**

According to the property, if we add any number with zero we will get the same number.

**Questions on Identity Property of Multiplication**

**(01) Identity property works on following math operation**

(a) Addition

(b) Multiplication

(c) Subtraction

(d) Division

(e) All of the above

**Option (e) is correct.**

The identity property is available for all the above math operation.

**(02) Fill in the blanks with suitable number**

5 x _______ = 5

(a) 5

(b) 2

(c) 1

(d) -1

**Option (c) is correct****Explanation:**

This math expression is an example of Identity Operation.

5 x 1 = 5

**(03) Below expression is representation of identity property, True or False?**5 x (1/5) = 1

(a) True

(b) False

**Option (b) is correct****Explanation:**

The expression represents inverse property of multiplication.

Inverse property is given by:

A x 1/A = 1

**(04) Fill in the blanks**

________ x 1 = 1/7

(a) 7

(b) -7

(c) 1/7

(d) 1/7

**Option (c) is correct****Explanation**

Using identity property of multiplication:

1/7 x 1 = 1/7

**(05) Dave x 1 = ___________**

(a) 1 + Dave

(b) 1/Dave

(c) Dave Ramsey

(d) Dave

**Option (d) is correct.**

**Explanation**:

Multiplication of any entity with 1 results in same entity