che! leche yung gumawa nitong Answers
3 + 4x = 4x + 3 is an example of the commutative property of addition.
distributive is just a longer way to show the equation and commutative is the numbers combined. Example: 4(5+x) is the distibutive and the equal equation that is commutative is 20+4x
Explain how you can use the commutative and associative prpoperties to add 19+28+81 mentally.
multiply the entire equation by a numberdivide the entire equation by a numberadd numbers to both sides of the equationsubtract numbers from both sides of the equationuse the commutative property to rearrange the equationuse the associative property to rearrange the equationfactor a number out of a portion of the equation
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
Properties of Addition Commutative : The commutative property in math comes from the words "move around." This rule states that you can move numbers or variables in algebra around and still get the same answer. This equation defines the commutative property of addition: a + b = b + a Associative: To “associate” means to connect or join with something. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Identify: Identity Property Of Addition : The identity property of addition is that the sum of any number and its identity value gives the same number as the result. In addition, 0 is the identity element. Distributive: The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4. Any time they refer in a problem to using the Distributive Property, they want you to take something through the parentheses (or factor something out); any time a computation depends on multiplying through a parentheses (or factoring something out), they want you to say that the computation used the Distributive Property. Why is the following true? 2(x + y) = 2_x_ + 2_y_ Since they distributed through the parentheses, this is true by the Distributive Property.
An axiom in algebra is the stepping stone to solving equations. In order to solve and equation you know how to use the commutative, associative, distributive, transitive and equalilty axiom to solve the basic steps. For example: if you want an equation in the form y = mx + b, given 6x - 3y = 9 you must subtract 6x from both sides giving: -3y = 9-6x. Then you divide by -3 to get y = -3 + 2x. But the equation is not in the from y = mx + b. So we use the commutative property to switch the -3 + 2x and make it 2x - 3. Now it become y = 2x -3. and it is in the form y = mx + b. This manipulation could not be perfromed unless tahe student knew the commutative property. Once the axiom is know the algebraic manipulations fall into place.
The Commutative Property is illustrated by this equation: a * b = b * a.
A*(B + C) = A*B + A*C.
The associative property means that in a sum (for example), (1 + 2) + 3 = 1 + (2 + 3). In other words, you can add on the left first, or on the right first, and get the same result. Similar for multiplication. How you use this in an equation depends on the equation.