Question

Match the following:- 4
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

Answer 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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