Question

which expression is equivalent to 53p + (16p + 7p)? (16p·7p) + 53p (16p + 7p)·53p (53p·16p)·7p (53p + 16p) + 7p

Explanation:

Step1: Recall associative property of addition

The associative property of addition states that $(a + b) + c = a + (b + c)$, which means we can rearrange the grouping of terms being added without changing the sum.

Step2: Apply property to given expression

Original expression: $53p + (16p + 7p)$
Using the associative property, we can rewrite this as $(53p + 16p) + 7p$

Step3: Verify other options

• $(16p \cdot 7p) + 53p$ uses multiplication, not addition, so it is not equivalent.
• $(16p + 7p) \cdot 53p$ uses multiplication of the sum by $53p$, not addition, so it is not equivalent.
• $(53p \cdot 16p) \cdot 7p$ uses only multiplication, so it is not equivalent.

Answer:

(53p + 16p) + 7p