Associative Property of Addition - Groupings can be changed when adding but the result will be the same. For example, 3+(4+5)= (3+4)+5. The numbers stay in the same order and can be grouped together with parenthesis., Commutative Property of Addition - The order of addition can be changed but the result will be the same. For example, 3+4+5=5+3+4. The numbers traveled from their original positions, but when combined the outcome is the same., Addition Property of Equality - A value can be added to both sides of an equation and remain balanced. For example, 5x-4+(4)=16+(4)., Subtraction Property of Equality - A value can be subtracted from both sides of an equation and remain balanced. For example, 3x+2-(2)=6-(2)., Division Property of Equality - A value can be multiplied to both sides of an equation and remain balanced. For example, (x/5)*5=4*5., Distributive Property - A number outside of a parenthesis can be multiplied across addition and subtraction. For example, 5(2+7)=10+35., Combine Like Terms - Like terms can be combined to make more/less of that term on the *same* side of an equation or an expression. For example, x-4x=-3x., Substitution - Two values are equal if they can be substituted for one another. For example, If x=5 and 10x=50, then 10(5)=50., Symmetric Property - An equation can be reversed and remain balanced or equivalent. For example, if 5x=40, then 40=5x., Identity Property of Addition - The sum of zero and a number is the number. For example, 8+0=8., Inverse Property of Addition - The sum of a number and its opposite is always zero. For example, -5+5=0., Reflexive Property - Any value is equivalent to itself. For example, 6=6., Transitive Property - If a value equals a second value, and the second value equals the third value, then the first and the third value are equal. For example, if x=2 and 2=y, then x=y., Identify Property of Multiplication - The product of 1 and any number is the number. For example, 8*1=8., Inverse Property of Multiplication - The product of a number and its reciprocal is always 1. For example, 5*(1/5)=1., Associative Property of Multiplication - Groupings can be changed when multiplying but the result will be the same. For example, 3*(4*5)= (3*4)*5. The numbers stay in the same order and can be grouped together with parenthesis., Commutative Property of Multiplication - The order of multiplication can be changed but the result will be the same. For example, (3*4)*5=(5*4)*3. The numbers traveled from their original positions, but when multiplied the outcome is the same.,

Algebraic Properties

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