Identity Property Of Multiplication Example

Multiplicative Identity Property of 1

I'yard the number one.

The sums that involve me are easy and fun.

I am smart and bright.

Problems with me, you'll always become right!

What is Number 1?

It is a very simple number. Simply likewise very important. In mathematics, the number 1 represents a single entity. It is a quantity or value of 1. One is the starting time positive odd number in the number line.

Today, we will acquire almost the multiplicative identity property of one. It is unique and interesting. Let u.s. jump right in.

Definition of Identity Property of Multiplication?

Multiplicative identity property of the number 1. Sounds complicated, doesn't it? It is not. Information technology is easy to employ for a property with such a long name. It is also a fairly elementary math law.

The multiplicative identity formula is expressed as a ✕ ane = a. Here, "a" can exist whatever real number.

Identity property of multiplication formula

What does the Multiplicative Identity Property of ane State?

It states that any number multiplied by ane gives the same result every bit the number itself. It is besides called the identity holding of multiplication. This is because the identity of the number remains the same.

Here are some examples of the identity belongings of multiplication.

Identity property of multiplication examples

What do yous observe in the nautical chart above? What happens when one is multiplied by whatsoever number? Naught, information technology does not alter the number. We get the same number as the result when nosotros multiply it by 1. The number does not change, which means it keeps its identity, which is the reason for the name of the property. And, we can say that 1 is the multiplicative identity.

Fun Facts!

The Egyptians were the showtime civilisation to invent different symbols. They did this for different numbers. They had a symbol for ane. Information technology was just a line.
1 is a natural number.
1 is neither a prime number nor a composite number.
1 is the only factor of ane.
What happens when a number is divided by 1? It gives the same caliber as the number itself. This is called the identity property of division.
ane is too referred to equally "unit" or "unity".

Solved Examples

Case 1: If 35 ✕ northward = 35, what is the value of n? Country the belongings being used.

Solution:

35 ✕ n = 35 (given)

n = 35 ÷ 35 = 1

northward = one

So, 35 ✕ 1 = 35

The belongings used is identity property of multiplication. The result is the original number when you multiply a number by ane.

Example 2: Use the identity property of multiplication to find the correct value of "z" if z ✕ 1 = ix/17.

Solution:

z ✕ 1 = ix/17 (given)

Allow us use multiplicative identity. If ane is multiplied past a number, it returns the original number.

Therefore, z = 9/17

Example three: Which of the 2 equations illustrates the identity holding of multiplication?

a) 54 ✕ 1 = 54 b ) -54 ✕ -ane = 54

Solution:

a) 54 ✕ one = 54. Yes, this equation illustrates identity property of multiplication. The number 54, when multiplied by 1, gives the same result every bit the number itself, 54.

b) -54 ✕ -1 = 54: No, this equation does not illustrate identity property of multiplication. The number -54, when multiplied by -1, gives a different result from the original number.

Practice Bug

Multiplicative Identity Holding of I - Definition with Examples

Attend this Quiz & Test your knowledge.

-1

The number itself

Right answer is: 1
The multiplicative identity of a existent number is 1. When nosotros multiply 1 by any existent number, we get the same number.
For case, 59 ✕ i= 59.

-27

Correct answer is: -27
n ✕ 1 = -27 (given). By multiplicative identity, if one is multiplied past a number, the production is the original number. So, since the product is -27, due north is also -27.
-27 ✕ 1 = -27

-101 ✕ 0 = 0

-101 ✕ ane = - 101

-101 ✕ -1 = 101

101 ✕ -1 = - 101

Correct respond is: -101 ✕ ane = - 101
Any number multiplied by ane gives the aforementioned result equally the number itself.
This property is illustrated in Selection b. -101 ✕ i = - 101.

Often Asked Questions

Why is the number i called a unique number?

one (one, as well chosen unit of measurement and unity) is a number. A numerical digit is used to represent that number in numerals. The number 1 is chosen a unique number due to the post-obit reasons:

It is neither a prime nor a composite number.
It has only ane factor, that is, the number itself.

Does the identity property of multiplication apply to -1?

No, the multiplicative identity does not utilize when any number is multiplied past -1. This is considering the issue volition not exist the same number. For example, 31 ✕ -1 = -31.

Which numbers can the identity property of multiplication be applied to?

The identity property of multiplication can be applied to all real numbers. This includes natural numbers, integers, likewise as rational numbers.