Question

what is additive property exaplain with examples​

Answer 1

Answer:

here are three definitions with examples mate

Step-by-step explanation:

Definition: Additive Property of Equality

The additive property of equality states that if the same amount is added to both sides of an equation, then the equality is still true. Let a, b, and c be real numbers, which consist of rational numbers (e.g., 0, -7, and 2/3) and irrational numbers (e.g., pi and the square root of 5). In symbols, we can say the following:

If a = b, then a + c = b + c.

Examples of the Additive Property of Equality

Let's start with the following true equation:

5 = 5

Next, we will add 3 to each side of the equation as follows:

5 + 3 = 5 + 3

We simplify to get the following:

8 = 8

The equality still holds true as expected. Let's try an example with one variable:

x - 2 = 13

We could add any number to both sides and the equation will still be true. However, it would make more sense to use a strategy that allows us to solve for x as follows:

x - 2 + 2 = 13 + 2

x = 15

Definition: Additive Property of Inequalities

The additive property of inequalities states that if the same amount is added to both sides of an inequality, then the inequality is still true. Let x, y, and z be real numbers. In symbols, we can say the following:

If x > y, then x + z > y + z.

If x < y, then x + z < y + z.

Examples of the Additive Property of Inequalities

Let's start with the following true inequality:

10 < 20

Next, we will add -5 to each side of the equation as follows:

10 + (-5) < 20 + (-5)

Finally, simplify to get the following:

5 < 15

The inequality still holds true as expected. Notice that we can use subtraction within the additive properties by adding a negative number. Let's try an example with one variable:

x - 25 > 55

We want to solve for x, so we can use the additive property of inequalities and add 25 to both sides of the inequality and simplify:

x - 25 + 25 > 55 + 25

x > 80

Answer 2

Answer:

The additive property of equality states that if the same amount is added to both sides of an equation, then the equality is still true. Let a, b, and c be real numbers, which consist of rational numbers (e.g., 0, -7, and 2/3) and irrational numbers (e.g., pi and the square root of 5). In symbols, we can say the following:

If a = b, then a + c = b + c.

Examples:

Let's start with the following true equation:

5 = 5

Next, we will add 3 to each side of the equation as follows:

5 + 3 = 5 + 3

We simplify to get the following:

8 = 8

The equality still holds true as expected. Let's try an example with one variable:

x - 2 = 13

We could add any number to both sides and the equation will still be true. However, it would make more sense to use a strategy that allows us to solve for x as follows:

x - 2 + 2 = 13 + 2

x = 15

By using the additive property of equality and adding 2 to both sides of the equation, we are able to find the value of x.

Hope it helps

Mark brainliest