Sоnlarni o`ngacha, yuzgacha va minggacha yaxlitlashni misollar yordamida tushuntiring

2 – topshiriq:
Hisoblang:
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2. = (10*

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4. = -(

5. =

6. =

7. =

8. =

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10. =
3 – topshiriq:
z₁, z₂ kompleks sonlar berilgan bo`lsa, kompleks sonlar ustida amallarni bajaring:

(z₁+z₂, )

1. 
   z₁=5 –3i z₂=8 –4i
   

z₁+z₂= (5-3i) +(8-4i) = (5-8) +(-3i-4i) = -3-7i

z₁-z₂= (5-3i) -(8-4i) = (5-8) +(-3i+4i) = -3-i

z₁*_z2= (5-3i) *(8-4i) = 40-20i-24i+12i²= 28-44i

2. 
   z₁= –5+2i z₂=8 –9i
   

z₁+z₂= (-5+2i) +(8-9i) = (-5+8) +(2i-9i) = 3-7i

z₁-z₂= (-5+2i) -(8-9i) = (-5-8) –(2i+9i) = -13+7i

z₁*z₂= (-5+2i) *(8-9i) = -40+45i+16i-18i² = -22+6i

3. 
   z₁=4 –5i z₂=42 –3i
   

z₁+z₂= (4-5i) +(42-3i) = (4+42) +(-5i-3i) = 46-8i

z₁-z₂= (4-5i) –(42-3i) = (4-42) –(-5i+3i) = -40+8i

z₁*z₂= (4-5i) *(42-3i) = 153-222i

4. 
   z₁=14+3i z₂=21+3i
   

z₁+z₂= (14+3i) +(21+3i) = (14+21) +(3i+3i) = 35+6i

z₁-z₂= (14+3i) –(21+3i) = (14-21) –(3i-3i) = -7

z₁*z₂= (14+3i) *(21+3i) = 294+42i+63i+9i² = 285+105i

5. 
   z₁=2+4i z₂=7+4i
   

z₁+z₂= (2+4i) +(7+4i) = (2+7) +(4i+4i) = 9+8i

z₁-z₂= (2+4i) –(7+4i) = (2-7) +(4i-4i) = -5

z₁*z₂= (2+4i) *(7+4i) = 14+8i+28i+16i² = -2+36i

6. 
   z₁= –6+2i z₂=4 –i
   

z₁+z₂= (-6+2i) +(4-i) = (-6+4) +(2i-i) = -2+i

z₁-z₂= (-6+2i) –(4-i) = (-6-4) –(2i+i) = -10-3i

z₁*z₂= (-6+2i) *(4-i) = -24+6i+8i-2i² = -22+6i

7. 
   z₁= –3+2i z₂=5 –i
   

z₁+z₂= (-3+2i) +(5-i) = (-3+5) +(2i-i) = 2+i

z₁-z₂= (-3+2i) –(5-i) = (-3-5) –(2i+i) = -8-3i

z₁*z₂= (-3+2i) *(5-i) = -15+3i+10i-2i² = -13+13i

8. 
   z₁=4+2i z₂=4 –3i
   

z₁+z₂= (4+2i) +(4-3i) = (4+4) +(2i-3i) = 8-i

z₁-z₂= (4+2i) –(4-3i) = (4-4) –(2i+3i) = -5i

z₁*z₂= (4+2i) *(4-3i) = 16-12i+8i-6i² = 22-4i

9. 
   z₁=7+2i z₂=5+i
   

z₁+z₂= (7+2i) +(5+i) = (7+5) +(2i+i) = 12+3i

z₁-z₂= (7+2i) –(5+i) = (7-5) –(2i-i) = 2-i

z₁*z₂= (7+2i) *(5+i) = 35+7i+10i+i² = 33+17i

10. 
    z₁= –3+2i z₂=1 –i
    

z₁+z₂= (-3+2i) +(1-i) = (-3+1) +(2i-i) = -2+i

z₁-z₂= (-3+2i) –(1-i) = (-3-1) –(2i+i) = -4-3i

z₁*z₂= (-3+2i) *(1-i) = -3+3i+2i-2i² = -1+5i