Answer to Question #199482 in Algebra for Phumzile Zondi

Question

Use the vertical and horizontal algorithms to find the sum or difference of the following.

( Explain the "borrow and carry" concepts.)

a) 587 + 620

b) 749 - 568

Answer 1

(a) 587+620

Horizontal algorithm-

587=500+80+7

620=600+20+0

587+620= (500+600)+(80+20)+(7+0)=1100+100+7=1207

Vertical Algorithm-

$5^1|8|7\\$

$+6|2|0\\$

$\overline { 12|0|7}$

Here we will add a carry getting after addition of 8 and 2.

(b) 749-568

Horizontal algorithm-

749=700+40+9

568=500+60+8

749-568=(700-500)+(40-60)+(9-8)=200-20+1=181

Vertical algorithm-

$7|4^1|9$

$-5|6|8$

$\overline{ 1|8|1}$

Here we borrow a carry from 7 so that we can perform subtraction.