Question

What are. Algebra rules

Answer 1

The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them.

Property Name:
Commutative Law For Addition

Definition:
a+b=b+a
The arrangement of addends does not affect the sum

Example:
If 2+3=5, then 3+2=5

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Property Name:
Commutative Law For Multiplication

Definition:
a*b=b+a
The arrangement of addends does not affect the product.

Example:
If 2*3=6, then 3*2=6

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Property Name:
Associative Law For Addition

Definition:
a+(b+c)=(a+b)+c
The grouping of addends does not affect the sum.

Example:
If 2+(3+4)=2+7=9, then (2+3)+4=5+4=9

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Property Name:
Associative Law For Multiplication

Definition:
a*(b*c)=(a*b)*c
The grouping of addends does not affect the multiplication product.

Example:
If 2*(3*4)=2*12=24, then (2*3)*4=6*4=24

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Property Name:
Distributive Law

Definition:
a*(b+c)=(a*b)+a*c
Adding numbers and then multiplying them yields the same result as multiplying numbers and then adding them

Example:
If 2*(3+4)=2*7=14, then 2*(3+4)=2*3+2*4=6+8=14