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Properties Of Complex Numbers

Fill in the blank:

If z=2+3iz=2+3i, then z+z =__________.

Fill in the blank:

If z =-z then z is ____________.

Fill in the blank:

If z=5+3iz=5+3i, then z-z =____________.

Fill in the blank:

If z=a+biz=a+bi, then zz =____________.

Fill in the blank:

If z=a+biz=a+bi, then z+z =__________.

Is the number sentence true or false?

|z| = |z|

Fill in the blank:

If z=5+iz=-5+i, then z+z =____________.

Fill in the blank:

If z=8+iz=-8+i, then z z =____________.

If z=2+3iz=2+3i, then z =____________.

=

Fill in the blank:

If z1=a+bi, z2=c+di, then (a+bi)(c+di) =__________.