Question

nswer the questions below about Line 1 and Line 2 shown below.
left parenthesis, 2, dot, 3, right parenthesis, dot, 8
(2⋅3)⋅8
Line 1
2, dot, left parenthesis, 3, dot, 8, right parenthesis
2⋅(3⋅8)
Line 2
Answer
Attempt 1 out of 2

The expression was rewritten using the
.
left parenthesis, 2, dot, 3, right parenthesis, dot, 8(2⋅3)⋅8 equals
dot, 8⋅8 which equals
.
2, dot, left parenthesis, 3, dot, 8, right parenthesis2⋅(3⋅8) equals 2, dot2⋅
which equals
.

Answer 1

To analyze the expressions in Line 1 and Line 2, we can simplify them step by step.

### For Line 1:
\((2 \cdot 3) \cdot 8\)

1. **Calculate the expression inside the parentheses**:
\(2 \cdot 3 = 6\)

2. **Multiply the result by 8**:
\(6 \cdot 8 = 48\)

So, \((2 \cdot 3) \cdot 8\) simplifies to \(48\).

### For Line 2:
\(2 \cdot (3 \cdot 8)\)

1. **Calculate the expression inside the parentheses**:
\(3 \cdot 8 = 24\)

2. **Multiply 2 by the result**:
\(2 \cdot 24 = 48\)

So, \(2 \cdot (3 \cdot 8)\) also simplifies to \(48\).

### Final Results:
- The expression \((2 \cdot 3) \cdot 8\) equals **48**.
- The expression \(2 \cdot (3 \cdot 8)\) equals **48**.

Therefore, both expressions result in the same value, demonstrating the associative property of multiplication.