Question

Name the property the equation illustrates.

Answer 1

Multiplication Property of –1

Answer 2

Solution: The correct option is option first, i.e., $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.

Explanation:

The correct option is first option : Identity Property of Multiplication.

Reason for correct option:

According to the identity property of multiplication, the product of a number and the identity element is equal to that number. The identity element for multiplication is 1.

Let x be any real number, then by identity property of multiplication $x\cdot1=x$.

Therefore, $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.

Reason for incorrect option:

According to the inverse property of multiplication, the product of number and inverse is equal to 1. In the given equation the result is not 1.

In the given equation the number is multiplied by 1  instead of -1. So, multiplication property of -1 is not the correct answer.

In the given equation multiplication property is used and there is no need of any addition property.

Hence, only first option is correct and $-2.1\cdot 1=-2.1$ by the Identity Property of Multiplication.