The multiplication property of equality is, as the name suggests, a property. It does not require solving!
A*(b*c)=(a*b)*c
This is an example of the commutative property of multiplication.
The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal. In contrast, the multiplication property of inequality states that if you multiply both sides of an inequality by a positive number, the inequality remains unchanged, but if you multiply by a negative number, the inequality sign must be flipped. Thus, while equality preserves its form, inequality requires careful handling based on the sign of the multiplier.
They are the Associative Property of Multiplication, the Commutative Property of Multiplication, and the Zero Property of Multiplication.
The commutative property of multiplication states that changing the order of numbers does not change the result or it's value. For example: If 3+2=5 Then 2+3=5 In multiplication: If 3x2=6 Then 2x3=6 There for 3x2=2x3
division property of equality or multiplication property, if you multiply by the reciprocal
"Inverse Operation(s)"
Because you need to use inverse operations and the opposite of multiplication is division.
Equals divided by non-zero equals are equal.
7m=m+40
That is used mainly to solve equations.
Equals multiplied by equals are equal.
A*(b*c)=(a*b)*c
Properties of EqualitiesAddition Property of Equality (If a=b, then a+c = b+c)Subtraction Property of Equality (If a=b, then a-c = b-c)Multiplication Property of Equality (If a=b, then ac = bc)Division Property of Equality (If a=b and c=/(Not equal) to 0, then a over c=b over c)Reflexive Property of Equality (a=a)Symmetric Property of Equality (If a=b, then b=a)Transitive Property of Equality (If a=b and b=c, then a=c)Substitution Property of Equality (If a=b, then b can be substituted for a in any expression.)
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This is an example of the commutative property of multiplication.
The multiplicative property of equality. Multiply each side by -1/3.