Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0
Answers
(7+4i)+0=7+4i is the equation which demonstrates the additive identity property.
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SOLUTION
TO CHOOSE THE CORRECT OPTION
Which equation demonstrates the additive identity property
- (7 + 4 i) + (7 minus 4 i) = 14
- (7 + 4 i) + 0 = 7 + 4i
- (7 + 4 i) (1) = 7 + 4 i
- (7 + 4 i) + ( - 7 - 4 i) = 0
EVALUATION
We know that for the set of complex numbers 0 is the additive identity
Now the property of additive identity states that for a complex number a + ib
( a + ib ) + 0 = 0 + ( a + ib ) = ( a + ib )
Here the given complex number is 7 + 4i
Then from above it can be written as
( 7 + 4i ) + 0 = 0 + ( 7 + 4i ) = ( 7 + 4i )
FINAL ANSWER
Hence the correct option is
( 7 + 4i ) + 0 = ( 7 + 4i )
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