Question

write an equivalent expression.
3.5 + (1z + 0.5)
choose the correct answer below.
a. (3 + 5) + 1z
b. (3.5 + 0.5) + 1z
c. 3.5 + (1 + 0.5)
d. (3.5 + 0.5) + 1
click to select your answer and then click check answer.
all parts showing

Explanation:

Step1: Recall the associative property of addition

The associative property of addition states that \( (a + b) + c = a + (b + c) \). We can use this property to rearrange the terms in the expression \( 3.5+(1z + 0.5) \).

Step2: Apply the associative property

We want to group the constant terms \( 3.5 \) and \( 0.5 \) together. So, using the associative property, \( 3.5+(1z + 0.5)=(3.5 + 0.5)+1z \).
We can check the other options:

• Option A: \( (3 + 5)+1z=8 + 1z \), but our original expression has \( 3.5 \) and \( 0.5 \), not \( 3 \) and \( 5 \), so A is incorrect.
• Option C: \( 3.5+(1 + 0.5)=3.5 + 1.5 \), which does not include the term \( 1z \), so C is incorrect.
• Option D: \( (3.5 + 0.5)+1=4 + 1 \), which does not include the term \( 1z \), so D is incorrect.

Answer:

B. \((3.5 + 0.5)+1z\)