Question

Name the property under multiplication used in each of the following:

(i) -4/5 x 1 = 1 x (-4/5) = -4/5
(ii) -13/17 x -2/7 = -2/7 x -13/17
(iii) -19/29 x 29/-19 = 1

Answer 1

Answer:

(i)Property of multiplicative identity .

(ii)Commutative property

(iii)Property of multiplicative inverse .

Answer 2

Answer:

(i) Property of multiplicative identity

(ii) Commutative property of multiplication

(iii) Inverse Property of Multiplication

Step-by-step explanation:

(i) Property of multiplicative identity states that when a number is multiplied by one then the result is the original number itself.

Example:  5 X 1= 5.

(ii) Commutative property of multiplication states that two numbers can be multiplied in either order that is the first number multiplied by the second number is equal to the second number multiplied by the first number.

Example:  5 X 3 = 3 X 5 = 15.

(iii) Inverse Property of Multiplication states that when a number is multiplied by it's reciprocal then the product equals one.

Example: 5 X 1/5 = 1.