The properties of equality used in the given equations are:
1) Commutative property - This property states that the order in which numbers are added or multiplied does not affect the result. In the equation 2z + 5 = 5 + 2z, the commutative property is being used because the order of the terms on both sides of the equation is being switched.
2) Distributive property - This property states that when a number is multiplied by a sum or difference inside parentheses, you can distribute the multiplication to each term inside the parentheses. In the equation 3 - 3x = 3(1 - x), the distributive property is being used because the number 3 is being multiplied by the expression inside the parentheses.
3) Identity property - This property states that when you add zero to a number, or multiply a number by one, the result is the original number. In the equation 8(9) * b = 8(9 * b), the identity property is being used because 9 is being multiplied by b, which does not change the value.
4) There is no associative property being used in the given equations. The associative property states that when adding or multiplying three or more numbers, the grouping of the terms does not affect the result. None of the equations involve adding or multiplying three or more numbers.
2z+5=5+2z
3-3x=3(1-x)
(8 9) b=8(9b)
a=1a
Which one are
Commutive property
Distributive property
Associative property
Identity property
5 answers
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