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Name the property under multiplication used in each of the following?
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Name the property under multiplication used in each of the following?
Multiplicative identity:

When we multiply any rational number with 1, we get back that rational number as the product.

a x 1 = 1 x a = a for any rational number a. We say that 1 is the multiplicative identity for rational numbers.

 Commutative:

Two rational numbers can be multiplied in any order. Multiplication is commutative for rational numbers. In general, a x b = b x a for any two rational numbers a and b.

Multiplicative inverse:
A rational number c /d is called the reciprocal or multiplicative inverse of another rational number a / b if a/b x c / d x = c/d x a/b=1

The reciprocal of a non zero rational number p/q is q/p…

Zero has no reciprocal .

The reciprocal or the multiplicative inverse of a nonzero rational number p/q is written as (p/q)^-1

Solution:

(i) -4/5 x 1 = 1 x (-4/5) = -4/5

1 is the multiplicative identity.

(ii) -13/17 x -2/7 = -2/7 x -13/17 
 
Commutative property

(iii) -19/29 x 29/-19 = 1

Multiplicative Inverse property.

This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
Name the property under multiplication used in each of the following?
 1 is the identity for multiplication.
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