Home > College Algebra calculators > 10's Complement Subtraction method calculator

 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: 10's complement subtraction 670-831 [ Calculator, Method and examples ]

Solution:
Your problem -> 10's complement subtraction 670-831

10's complement subtraction steps :

1. At first, find 10's complement of the B(subtrahend).
2. Then add it to the A(minuend).
3. If the final carry over of the sum is 1, then it is dropped and the result is positive.
4. If there is no carry over, then 10's complement of the sum is the final result and it is negative.

Here A = 670, B = 831.
Find A - B = ? using 10's complement
First find 10's complement of B = 831

Note : 10's complement of a number is 1 added to it's 9's complement number.
9's complement of 831 is
 9 9 9 - 8 3 1 1 6 8

Now add 1 : 168 + 1 = 169

Now Add this 10's complement of B to A

 1 6 7 0 + 1 6 9 8 3 9

Hints : (Move mouse over the steps for detail calculation highlight)
 Step-1=0+9=9:. Sum=9 Step-2=7+6=13:. Sum=3 and carry=1 Step-3=1+6+1=8:. Sum=8

Here there is no carry, answer is - (10's complement of the sum obtained 839)

Note : 10's complement of a number is 1 added to it's 9's complement number.
9's complement of 839 is
 9 9 9 - 8 3 9 1 6 0

Now add 1 : 160 + 1 = 161
So answer is -161

Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me