# Zero Property of Multiplication

## 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.

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 + 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