Q. 1 Match the following:- AB (1) 1 and (a) Reciprocal inverse (2) (-1) + 1 0 (b) Inverse of the inverse (3) x x1 = x (c) Additive inverse 1 ( 4) x x- =1 (d) Multiplicative identity
Answers
Given:
A B
(1) 1/7 and 1/7 (a) Reciprocal Inverse
(2) (-1) +1 = 0 (b) Inverse of the inverse
(3) x × 1 = x (c) Additive Inverse
(4) x × 1/x = 1 (d) Multiplicative identity
To find:
Match the following
Solution:
(1) 1/7 and 1/7 => (b) Inverse of the inverse
- 1/7 inverse is 7.
- Now, the inverse of 7 is 1/7.
(2) (-1) +1 = 0 => (c) Additive Inverse
- In additive inverse property, the sum of any number and its inverse is always 0. Here, the sign is always the opposite.
(3) x × 1 = x => (d) Multiplicative identity
- In Multiplicative identity property, the product of a number and 1 is always a number. For example, 2 × 1 = 2.
(4) x × 1/x = 1 => (a) Reciprocal inverse
- In Reciprocal Inverse, the product of a number and its multiplicative inverse is 1.
- For example, 2 × 1/2 = 1.
Answer :-
(1) (1/7) and (1/7)
- (b) Inverse of the inverse .
(2) (-1) + 1 = 0 :-
- An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero .
- (c) Additive inverse .
(3) x * 1 = x
- If any number is multiplied by 1, gives the same result as the number itself. It is called the Identity property of multiplication .
- (d) Multiplicative identity .
(4) x * (1/x) :-
- when a number is multiplied by its own multiplicative inverse the resultant value is equal to 1.
- x is multiplied by its reciprocal (1/x) or x^(-1) .
- (d) Reciprocal inverse .
Learn more :-
given that under root 3 is irrational prove that 5 root 3 minus 2 is an irrational number
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