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What property allows you to change the order of the terms when adding OR multiplying without changing the outcome?
The property you're looking for is called the Commutative property. This means you can commute, or move the terms around (when being added, or multiplied) and it won't change the answer. ex: 3 * 5 = 5 * 3 x * y = y * x 1 + 10 = 10 + 1 x + y = y + x
Is x7 the same as 7x?
In mathematics, the expression x7 typically represents the product of x and 7, while 7x represents the product of 7 and x. In general, the order of terms in a multiplication expression does not change the result. However, in algebra, the order of terms can be important when simplifying or solving equations.
What property is 3x plus 12 plus x?
They are terms of an expression which can be simplified to 4x+12 or factored to 4*(x+3)
What property multiplies the value outside the brackets with each of the terms in the brackets?
The property that allows you to multiply the value outside the brackets with each of the terms inside the brackets is called the Distributive Property. This property states that for any numbers (a), (b), and (c), the expression (a(b + c)) can be rewritten as (ab + ac). It ensures that each term in the parentheses is multiplied by the factor outside, leading to equivalent expressions.
What is an algebraic expression that has no like terms and no parentheses?
A simplified expression.
What is the commuative property of 16x y?
The commutative property states that the order of multiplication does not change the result. Therefore, in the expression 16xy, the commutative property allows us to rearrange the terms as xy16 without changing the product. This property holds true for any numbers or variables being multiplied together, as long as the order is switched consistently.
y-3x plus 2?
It is an expression in two variables, x and Y. Since it is an expression, it is not possible to do anything with it - other than change the order of the terms.
How can you use properties to write equivalent expressions?
You can use properties such as the distributive property, associative property, and commutative property to write equivalent expressions. For example, the distributive property allows you to expand or factor expressions, like rewriting (a(b + c)) as (ab + ac). The commutative property enables you to change the order of terms, such as (a + b) becoming (b + a), while the associative property lets you regroup terms, such as ((a + b) + c) being rewritten as (a + (b + c)). By applying these properties, you can create different but equivalent forms of the same expression.
What is changing the order of two or more terms in addition multiplication does not change the sumproduct?
The property that states changing the order of two or more terms in addition or multiplication does not change the sum or product is known as the commutative property. For addition, this means (a + b = b + a), and for multiplication, it means (a \times b = b \times a). This property allows for flexibility in rearranging terms without affecting the final result, making calculations easier.
Which expression shows the results of applying the Comunitive Property of addition to the expression 6 1 9 7 2?
This question cannot be answered. There is no such word as "Comunitive" and so "the Comunitive Property of addition" does not exist. One possible alternative is the "commutative" property, but that is only of marginal relevance in terms of the given expression. Thus, it is not at all clear what property the question is about and why any such property should be invoked.
What property describes 8w (-28) 4w.?
The expression (8w - 28 + 4w) can be simplified by combining like terms. The coefficients of (w) are (8) and (4), which add up to (12), while (-28) remains as a constant. Thus, the simplified expression is (12w - 28). The property that describes this operation is the distributive property, which allows for the combination of like terms.
What property is ( 3x - 2x) plus 2y plus 2?
It is an expression of terms that can be simplified to: x+2y+2
How can you use properties of operation to write an equivalent expression?
You can use properties of operations, such as the commutative, associative, and distributive properties, to write equivalent expressions. For example, the commutative property allows you to change the order of terms in addition or multiplication (e.g., (a + b = b + a)). The associative property lets you regroup terms (e.g., ( (a + b) + c = a + (b + c) )). The distributive property allows you to distribute a factor across terms in parentheses (e.g., (a(b + c) = ab + ac)). Using these properties can simplify expressions or rewrite them in different forms while maintaining equality.
What property is it called if you add parentheses?
Adding parentheses in an equation can change the order of operations and is known as the distributive property. This property allows you to group terms together for simplifying expressions or equations.
What property allows you to change the order of the terms when adding OR multiplying without changing the outcome?
The property you're looking for is called the Commutative property. This means you can commute, or move the terms around (when being added, or multiplied) and it won't change the answer. ex: 3 * 5 = 5 * 3 x * y = y * x 1 + 10 = 10 + 1 x + y = y + x
Does this problem correctly demonstrate the commutative property (4 plus 3) plus 2 2 plus (4 plus 3)?
No, the expression does not correctly demonstrate the commutative property. The commutative property states that the order of addition does not affect the sum, meaning (a + b = b + a). In the given expression, the placement of parentheses affects the order of operations, so it is not solely illustrating the commutative property. A correct demonstration would involve rearranging the terms without changing their grouping, such as (4 + 3 + 2) versus (2 + 4 + 3).
Is x7 the same as 7x?
In mathematics, the expression x7 typically represents the product of x and 7, while 7x represents the product of 7 and x. In general, the order of terms in a multiplication expression does not change the result. However, in algebra, the order of terms can be important when simplifying or solving equations.
