how do you write an equivalent addition equation

To write an equivalent addition equation, you need to understand the concept of equivalence. An equivalent equation is one that has the same solution or value as another equation, but it may be written in a different form.

To create an equivalent addition equation, you can use the properties of addition, which include the commutative property and the associative property.

1. Commutative Property: This property states that the order of the numbers being added does not affect the sum. In other words, you can change the order of the addends without changing the result.

For example, the addition equation 2 + 3 is equivalent to the addition equation 3 + 2. Both equations have the same sum of 5.

2. Associative Property: This property states that the way in which numbers are grouped in an addition equation does not affect the sum. In other words, you can change the grouping of the addends without changing the result.

For example, the addition equation (2 + 3) + 4 is equivalent to the addition equation 2 + (3 + 4). Both equations have the same sum of 9.

Using these properties, you can create equivalent addition equations. Here are a few examples:

Example 1:
Original equation: 4 + 2
Equivalent equation using commutative property: 2 + 4

Example 2:
Original equation: (5 + 3) + 2
Equivalent equation using associative property: 5 + (3 + 2)

Example 3:
Original equation: 7 + 0
Equivalent equation using commutative property: 0 + 7

By applying the properties of addition, you can manipulate the order and grouping of the addends to create equivalent addition equations.