# A number is divided by itself and the result is multiplied by its additive identity. Find the number

## Answers

**Step-by-step explanation:**

Additive identity of numbers, as the name suggests, is a property of numbers which is applied when carrying out addition operations. The property states that when a number is added to zero it will give the same number. “Zero” is called the identity element, (also known as additive identity) If we add any number with zero, the resulting number will be the same number. This is true for any real numbers, complex numbers and even for imaginary numbers.

Suppose, ‘a’ is any real number, then

a + 0 = a = 0 + a

For example, 120 + 0 = 120, illustrates identity property of addition, where 0 is the additive identity.

Example:

Which of the following illustrates the multiplicative identity and additive identity?

45 + 1 = 46

50 × 2 = 100

14 × 1 = 14

−54 + 0 = −54

Solution:

According to the identity property of multiplication, the product of any number multiplied by 1 is the number itself.

Here, only 14 × 1 = 14 satisfies the property.

Therefore, 14 × 1= 14 illustrates the Multiplicative identity.

According to the identity property of addition, the sum of any number added to 0 is the number itself.

Here, only −54 + 0 = −54 satisfied the property.

Therefore, −54 + 0 = −54 illustrates the additive identity.