Quickly multiply 2 or more complex numbers in easy way at Algebra Den

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Home >> Distributivity of Multiplication over Addition >> Examples

Distributivity of Multiplication over Addition : Solved Examples

Solve the below multiplications of 2 complex numbers

A) 28 X 58
B) 59 X 63
C) 73 X 24
D) 36 X 46
E) 47 X 83

We can easily find in few steps, the multiplication of 2 or more complex numbers by using the distributive property of addition. Lets try to solve the above complex multiplication

A) 28 X 58
[20 X (50 + 8)] + [8 X (50 + 8)]
(1000 + 160) + (400 + 64)
1160 + 464
1624

B) 59 X 63
50 X (60 + 3) + 9 X (60 + 3)
(3000 + 150) + (540 + 27)
3150 + 567
3717

C) 73 X 24
[70 X (20 + 4)] + [3 X (20 + 4)]
(1400 + 280) + (60 + 12)
1680 + 72
1752

D) 36 X 46
[30 X (40 + 6)] + [6 X (40 + 6)]
(1200 + 180) + (240 + 36)
1380 + 276
1656

E) 47 X 83
[40 X (80 + 3)] + [7 X (80 + 3)]
(3200 + 120) + (560 + 21)
3320 + 581
3901

Related Question Examples

Solve the below multiplications of 2 complex numbers

A) 28 X 58
B) 59 X 63
C) 73 X 24
D) 36 X 46
E) 47 X 83