Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1.
That implies that x = pk and y = qk where p and q are coprime terms.
Then x + y = pk + qk and, using the distributive property, this is k*(p + q).
The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.
Yes.
It means to replace an expression by another one that is equivalent, but simpler. For example: 3x + 5x can be written as: 8x because of the distributive property.
2k + 10 is an expression. The distributive property is a property of one binary operation (typically multiplication, or right-division) over another (addition or subtraction) for elements of a set (numbers); not a property of expressions.
Properties of algebra, such as the distributive, associative, and commutative properties, allow us to manipulate and rearrange algebraic expressions to create equivalent forms. For example, the distributive property enables us to expand expressions, while the associative property lets us regroup terms. By applying these properties, we can simplify complex expressions or rewrite them in a different format without changing their value, making it easier to solve equations or analyze relationships. This flexibility is essential in algebra for various applications, including solving equations and simplifying calculations.
28ab
Equivalent expressions
Using my knowledge of greatest common factors and the distributive property, I can tell that 45 + 63 is equal to 9(5 + 7) or 9 x 12, which is 108. Of course, I could also tell that from my knowledge of addition.
The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.
Yes.
10(2k + 5)
It means to replace an expression by another one that is equivalent, but simpler. For example: 3x + 5x can be written as: 8x because of the distributive property.
The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.
(3 x 12) + (4 x 12) = 7 x 12 = 84
90
24 + 36 = (2 x 12) + (3 x 12) = 5 x 12 = 60
This expression is an example of the Distributive Property. The expression a(b+c) = ab +ac is true because of the Distributive Property.