Q53. - Algebra 2

Question

Name the property Illustrated by the equation

53.$4n+(-4n)=0$

Step-by-Step Solution

Answer

The Additive inverse property is used in the expression.

Step-1 – Apply the concept of additive inverse property

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a.

Step-2 – Example for the additive inverse

• Additive inverse of 10 is -10, as $10+\left(-10\right)=0$.
• Additive inverse of -9 is 9, as $\left(-9\right)+9=0$.

Step-3 – Evaluate the expression

Since, $4n+\left(-4n\right)=0$ the additive inverse of $4n$ is $-4n$, which on adding the result is zero.

Thus, the additive inverse property is used.