Question

How are addition properties and subtraction rules helpful when solving problems

Answer 1

The addition and subtraction properties include four mathematical properties:commutative property, associative property, identity property and inverse operations. These properties are helpful in solving problems, because they help to regroup numbers so at the end you will have an easier and simpler equation to solve.  

Answer 2

For the sum we have the following properties:
The properties are commutative, asosiative, distributive and neutral element.

Commutative property: When two numbers are added, the result is the same regardless of the order of the addends.

Associative property: When three or more numbers are added, the result is the same regardless of the order in which the addends are added.

Neutral element: The sum of any number and zero is equal to the original number.

Distributive property: The sum of two numbers multiplied by a third number is equal to the sum of each summand multiplied by the third number.

For subtraction we have:

The arithmetic operation of the subtraction (subtraction) is indicated by the minus sign (-) and is the opposite, or inverse, operation of the addition. That is, it is an arithmetic operation that serves to find the difference between two numbers.

In subtraction A - B = D
A is the minuendo
B is the substraendo
D is the difference

Answer:
The properties of addition and subtraction serve to rewrite and simplify calculations.