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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.
How do i use the distributive property?
To use the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, in the expression ( a(b + c) ), you would calculate it as ( ab + ac ). This property helps simplify expressions and solve equations by distributing a common factor across terms. It's particularly useful when dealing with addition or subtraction within parentheses.
Which property says that a factor times the sum of quantities equals the sum of the products of the factor and each quantity?
Distributive.
How can you write equivalent expressions with Greatest common factor and the distributive property?
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).
Factor 12a4 plus 16a6 using the distributive property?
12a4 + 16a64a4(3 + 4a2)=========
How do you factor the expressions 20k 50 using distributive property?
10(2k + 5)
Use the greatest common factor and the distributive property to write equivalent expressions in factored form. 13ab + 15ab?
28ab
Which expressions uses the greatest common factor and distributive property to find 36 plus 48?
(3 x 12) + (4 x 12) = 7 x 12 = 84
How do i use the distributive property?
To use the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, in the expression ( a(b + c) ), you would calculate it as ( ab + ac ). This property helps simplify expressions and solve equations by distributing a common factor across terms. It's particularly useful when dealing with addition or subtraction within parentheses.
Which property says that a factor times the sum of quantities equals the sum of the products of the factor and each quantity?
Distributive.
What is the greatest common factor of 32 and 48 using the distributive property?
The GCF is 16.
How can you write equivalent expressions with Greatest common factor and the distributive property?
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).
Factor 12a4 plus 16a6 using the distributive property?
12a4 + 16a64a4(3 + 4a2)=========
What is the greatest common factor and distributive property of 24 30?
The GCF of 24 and 30 is 6. The distributive property states that 24 x 30 = (20 x 30) + (4 x 30)
What is the greatest common factor of 36 and 54 using the distributive property?
The GCF is 18. The Distributive property states that 36 x (50 + 4) = (36 x 50) + (36 x 4)
What allows you to break apart one factor in a multiplication problem to make a problem simpler?
The Distributive Property
Factor the following expression using the distributive property (48+64)?
112
