Check 5/11 is muIltiplicative inverse of 2.2 ? Justify your answer
Answers
Answer:
No, 11/5 is not the multiplicative inverse of 2.2.
Proof:
Both the numbers 2.2 and 11/5 belong to the field of real numbers. Therefore, if 11/5 is to be the multiplicative inverse of 2.2, we must have:
11/5 x 2.2 = 2.2 x 11/5 = 1
But 11/5 x 2.2 = 2.2 x 2.2 = 4.84 ≠ 1 and 2.2 x 11/5 = 2.2 x 2.2 = 4.84 ≠ 1
∴ 11/5 is not the multiplicative inverse of 2.2 (Proved)
The correct multiplicative inverse is 5/11 as we can see from the following equalities:
(5/11) x 2.2 = 11.0/11 = 1
2.2 x (5/11) = 11.0/11 = 1
Answer:
Answer: No, 11/5 is not the multiplicative inverse of 2.2.
Proof:
Both the numbers 2.2 and 11/5 belong to the field of real numbers. Therefore, if 11/5 is to be the multiplicative inverse of 2.2, we must have:
11/5 x 2.2 = 2.2 x 11/5 = 1
But 11/5 x 2.2 = 2.2 x 2.2 = 4.84 ≠ 1 and 2.2 x 11/5 = 2.2 x 2.2 = 4.84 ≠ 1
∴ 11/5 is not the multiplicative inverse of 2.2 (Proved)
The correct multiplicative inverse is 5/11 as we can see from the following equalities:
(5/11) x 2.2 = 11.0/11 = 1
2.2 x (5/11) = 11.0/11 = 1