The two addends exchange positions, and the sum remains the same. This is called additive commutative law.
Alphabetic formula: a+b=b+a[ 1]
Example (simple calculation process): 6+ 18
= 18+6
= 24
associative law of addition
Adding the first two numbers, or adding the last two numbers, and the sum is a constant, is called the additive associative law.
Alphabetic formula: a+b+c=a+(b+c)
Example (simple calculation process): 6+ 18+2
= 6+( 18+2)
= 6+20
= 26
2 multiplication operation
Multiplicative commutative law;
The concept of multiplicative commutative law is that two factors exchange positions and the product is unchanged.
Alphabetic formula: a×b=b×a
Example (simplified calculation process): 12×8
=8× 12
=96
Multiplicative associative law:
The concept of multiplicative association law is: the first two numbers are multiplied, or the last two numbers are multiplied, and the product is unchanged.
Alphabetic formula: a×b×c=a×(b×c)
For example: 30×25×4
=30×(25×4)
=30 × 100
=3000
Multiplicative distribution law:
The concept of multiplication and distribution law is: the sum of two numbers, multiplied by a number, can be decomposed and calculated, and the product is unchanged.
Alphabetic formula: (a+b)×c=a×c+b×c
For example: (2+3)× 10
=3× 10+2× 10
=30+20
=50