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Original 2026-01-01

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1 Additive identity property can be applied to all kinds of numbers. Here, we will look at how it can be used in<a>math equations</a>:

2 Additive Identity in Algebra

3 The additive identity property can be applied to any<a>algebraic expression</a>, as adding a zero to such an expression will not affect its value.

4 For example, let’s try adding 0 to the algebraic expression,

5 \(6y + 3 \)

6 \((6y + 3) + 0 = 6y + 3 \)

7 This proves that the additive identity property works in<a>algebra</a>.

8 Additive Identity in Equations

9 The additive identity (0) plays a key role in<a>solving equations</a>, as it helps maintain the balance of the<a>equation</a>. In an equation, whenever we add or subtract a number from one side, the same must be done on the other side to maintain balance. This is done to solve for unknown<a>variables</a>.

10 This can be better understood with an example.

11 \(4x - 6 = 6 \)

12 Adding 6 to both sides eliminates the<a>constant</a>term on the left, helping to solve for the unknown variable x. So let’s add 6 on both sides.

13 \(4x - 6 + 6 = 6 + 6 \)

14 \(4x = 12 \)

15 \(x = \frac{12}{4} = 3 \)

16 This is how additive identity property can be used to solve equations.

17 Additive Identity in Polynomials

18 When we add or subtract the<a>zero polynomial</a>, which has all coefficients equal to zero, from any polynomial, it does not change the polynomial’s degree or its coefficients. This idea can be used while simplifying<a>polynomials</a>, performing polynomial operations, and solving equations.

19 For example, adding the zero polynomial (0) to \(5x^2 + 2x - 3 \) does not change or affect the polynomial. Here, the polynomial \(5x^2 + 2x - 3 \) remains the same.