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