Question

write an equivalent expression.
2.8 + (7x + 0.9)

choose the correct answer below
a. (2 + 8) + 7x
b. (2.8 + 0.9) + 7
c. (2.8 + 0.9) + 7x
d. 2.8 + (7 + 0.9)

Explanation:

Step1: Recall the Associative Property of Addition

The associative property of addition states that for any numbers \(a\), \(b\), and \(c\), \(a+(b + c)=(a + b)+c\). We can apply this property to the expression \(2.8+(7x + 0.9)\).

Step2: Apply the Associative Property

In the expression \(2.8+(7x + 0.9)\), let \(a = 2.8\), \(b=7x\), and \(c = 0.9\). Using the associative property \(a+(b + c)=(a + c)+b\) (since addition is commutative, we can re - order the addition of the non - \(x\) terms and the \(7x\) term), we get \((2.8 + 0.9)+7x\).

Answer:

C. \((2.8 + 0.9)+7x\)