**What is Zero property of Multiplication?**

According to the property, **if we multiply any number with zero, we will get zero as a result**.

The property is expressed as:

Where A can be any real number possible.

**Why the property is called “Zero Property”?**

Because here we multiply the number with 0 and get 0 as end result.

The property is very easy to learn if you can interpret its name.

**Zero property of multiplication Examples**

Given below are some examples for your conceptual understanding..

\mathtt{( a) \ 5\ \times \ 0\ =\ 0}\\\ \\ \mathtt{( b) \ \frac{2}{3} \times \ 0\ =\ 0}\\\ \\ \mathtt{( c) \ 0\ \times \ 0\ =\ 0}\\\ \\ \mathtt{( d) \ \frac{-11}{2} \times \ 0\ =\ 0}\\\ \\ \mathtt{( e) \ \frac{99}{63} \ \times \ 0\ =\ 0} \\\ \\

**Note**: No matter how big the number is, if you multiply it with zero you will get zero.

**Explaining zero property using number line**

Let A = 7

Calculate A x 0

⟹ A x 0

⟹ 7 x 0

⟹ 0

**Frequently asked Question – Zero Property of Multiplication**

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

In Zero Property we multiply the number with zero & we get zero as final result.

While in identity property we multiply the number with 1 to get the same number as final result.

**How Zero property and Inverse Property different from each other?**

In Inverse property we multiply number with its reciprocal to get 1 as final result.

While in zero property we multiply the number with 0 to get 0 as end result.

**Is there any zero property of addition?**

Yes!!

According to zero property of addition, if we add 0 to any number we get the same number.

This property is also called **identity property of addition**.

**Explain about zero property of division.**

There are two points to be noted:

(a) If you divide zero with any number you will get zero

(b) if you divide any number with 0 the result will be indefinite

**Mention three other important property of multiplication**

Three important properties of multiplication are:**(a) Commutative Property**

Changing location of digits in multiplication will not affect the outcome

A x B = B x A**(b) Associative Property**

Forming different groups in multiplication will not change the final result

(A x B) x C = A x (B x C)**(c) Distributive property**

Its a property to simplify equation containing multiplication and addition

A x ( B + C ) = A.B + A.C

**Mention zero property of all math operation**

**(a) Addition**

A + 0 = A

**(b) Subtraction**

A – 0 = A

**(c) Multiplication**

A x 0 = 0**(d) Division**

0 / A = 0 and;

A / 0 = Not defined

**Solved Problems – Zero Property of Multiplication**

**(01) Fill in the blanks with right option**

21 x 0 = ________

(a) 21

(b) 11

(c) 0

(d) 1

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

Multiplying any number with 0 results in 0

**(02) Fill in the blanks**

16 x _______ = 0

(a) 0

(b) 16

(c) 1

(d) 8

**Option (a) is correct****Explanation**

We get number 0 on multiplication with 0

16 x 0 = 0

**(03) Name the property given below:**

A x ( B + C ) = A.B + A.C

(a) Associative Property

(b) Inverse Property

(c) Zero Property

(d) Distributive Property

**Option (d) is correct.**

**Explanation**

There are two distributive property of multiplication

(i) A x ( B + C ) = A.B + A.C

(ii) A x ( B – C ) = A.B – A.C

**(04) Find the solution of below expression**

( 3 + 7 ) x 0 = ?

(a) 10

(b) 11

(c) 0

(d) 5

**Option (c) is correct**

**Explanation:**

Solving the above expression . . .

⟹ ( 3 + 7 ) x 0

⟹ 10 x 0

⟹ 0