10. Multiplication inverse of (-2021)is
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Answer:
-1/2021 is the answer.
Step-by-step explanation:
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To Find :- Multiplication inverse of (-2021) ?
Concept used :-
- The multiplicative inverse of a number is the number which when multiplied by the original number gives the result as 1 .
- The multiplicative inverse of a = 1/a .
- The multiplicative inverse of a/b = b/a .
Solution :-
Let us assume that, the multiplicative inverse of (-2021) is x .
So,
→ Original number × multiplicative inverse = 1
→ (-2021) × x = 1
→ x = 1/(-2021)
→ x = (-1/2021)
Verification :-
→ (-2021) × (-1/2021) = 1
→ (-1)(2021) × {(-1)/(2021)} = 1
→ (-1) × (-1) = 1
→ 1 = 1
→ LHS = RHS
therefore, the multiplicative inverse of (-2021) is equal to (-1/2021) .
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