Adding and then subtracting the same quantity in mathematics is the basis of the *additive inverse property or inverse property of addition*. It states that for any number a, there exists an additive inverse, which is \(-a\), such that the sum of the two is zero, the additive identity. Additive inverse A number's additive inverse is its opposite (e.g., the additive inverse of 5 is -5). The sum of any number and its additive inverse is always zero. This "canceling out" is a fundamental principle used in algebra to isolate variables and solve equations.
For example, to solve the equation \(x+5=10\), you can add the additive inverse of 5, which is \(-5\), to both sides of the equation: \(x+5+(-5)=10+(-5)\) \(x+0=5\) \(x=5\) IS SAME AS X=10-5 IN THE DIRECT EQUATION. BALANCING FACTORS ARE USEFUL AND APPLIED IN PHYSICS DERIVATIONS THROUGH MATHS USING “INVERSE PROPERTY OF ADDITION”. Additive cancellation In a broader context, the same principle is at work in the cancellation law for addition, *which states that if \(a+c=b+c\), then \(a=b\).* This law is derived from the additive inverse property, as adding the inverse of \(c\) to both sides cancel the \(c\)'s out. K Rajaram IRS 111025 On Sat, 11 Oct 2025 at 13:29, venkat raman <[email protected]> wrote: > How to make your date of birth a magic square: > > DOB – 25 Dec 1988 =25-12-19-88 > > 25=A 12=B 19=C 88=D > > 25—12—19—88 > > D+1 C-1 B-3 A+3 > > B-2 A+2 D+2 C-2 > > C+1 D-1 A+1 B-1 > > 25-12-19-88 > > 89-18-09-28 > > 10-27-90-17 > > 20-87-26-11 > > 25+12+19+88=89+18+9+28+10+27+90+17=20+87+26+11=25+89+10+20=12+18+27+87=19+9+90+26=88+28+17+11= > the sum of the corners 25+88+11+20=sum of the numbers in the middle= > 18+9+27+90 > Venkataraman > > -- > On Facebook, please join https://www.facebook.com/groups/keralaiyerstrust > > We are now on Telegram Mobile App also, please join > > Pattars/Kerala Iyers Discussions: https://t.me/PattarsGroup > > Kerala Iyers Trust Decisions only posts : https://t.me/KeralaIyersTrust > > Kerala Iyers Trust Group for Discussions: > https://t.me/KeralaIyersTrustGroup > --- > You received this message because you are subscribed to the Google Groups > "KeralaIyers" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion visit > https://groups.google.com/d/msgid/keralaiyers/CAEafiZ2gScPipAfJXzaAhi1so_x5dGkUXv8MC2yBrJanqptSsg%40mail.gmail.com > <https://groups.google.com/d/msgid/keralaiyers/CAEafiZ2gScPipAfJXzaAhi1so_x5dGkUXv8MC2yBrJanqptSsg%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Thatha_Patty" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/thatha_patty/CAL5XZorVRcC4LQMxgg9%3DhUydT9xbOFpkVrqQXGpAs6NadA35OA%40mail.gmail.com.
