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Q: How distributive and commutative properties can be used to show that two or more expressions are equivalent?

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(2+2)+(1+1) 2+2+1+1 Answered my own question :P

Basic number properties (including three properties) and distributive property.

Are you asking for an explanation of the Associative, Distributive, and Commutative Properties? The answer is a little long. The first link is a simpler explanation, the second one is more detailed:

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There are three basic properties of numbers: Associative, Commutative, and Distributive. The commutative property says that b + a = a + b and a * b = b * a.

There are four properties of a real number under addition and multiplication. These properties are used to aid in solving algebraic problems. They are Commutative, Associative, Distributive and Identity.

You need the associative and commutative properties, but not the distributive property. n*4n*9 =n*(4n*9) (associative) = n*(9*4n) (commutative) = n*(36n) (associative) = 36n*n commutative = 36*n^2

1. Commutative - a * b = b * a 2. Associative - (a * b) * c = a * (b * c) 3. Distributive - a * (b + c) = (a * b) + (a * c)

These are characteristics of the elements of algebraic structures, or algebraic sets. Each element in the set possesses these characteristics and that is why they are called properties.

what is the difference between commutative and symmetric properties

There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties.A + B = B + C Commutative property(A+B) + C = A + (B +C) Associative PropertyA + 0 = A Additive Identity PropertyA*(B + C) = A*B + A*C Distributive property

Commutative, Associative, identity and distributive Commutative: 3+2 = 2+3 Associative : 2+(4+1)=(2+4)+1 Identity: 1+0=1 or 4x1 = 4 Distributive: 2(3x4)= 2(3)x 2(4)

Properties of MathThe properties are associative, commutative, identity, and distributive. * * * * *There is also the transitive propertyIf a > b and b > c then a > c.

The associative property refers to grouping numbers, which allows you to regroup numbers without changing the answer. 2(1x) = (2x1)xThe commutative property refers to changing the order of numbers without changing the answer. 4+1 = 1+4The distributive property refers to distribution of multiplication over addition. a x (b + c) = a x b + a x c

The multiplication properties are: Commutative property. Associative property. Distributive property. Identity property. And the Zero property of Multiplication.

Associative: (a+b)+c = a+(b+c) Commutative: a+b = b+a Distributive: a*(b+c) = a*b+a*c

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the basic number properties in math are associative, commutative, and distributive associative: (for addition) a+(b+c)=(a+b)+c (for multiplication) a(bc)=(ab)c or a*(b*c)=(a*b)*c commutative: (for addition) a+b=b+a (for multiplication) a*b=b*a or ab=ba distributive: a(b+c)=ab+ac or a(b+c)=a*b + a*c

I do not know the answer. The choices are: AssociativeTransitiveCommutativeSymmetryDistributive