Question
Answer the questions below about Line 1 and Line 2 shown below.
left parenthesis, 3, dot, 8, right parenthesis, dot, 4
(3⋅8)⋅4
3, dot, left parenthesis, 8, dot, 4, right parenthesis
3⋅(8⋅4)
Answer
Attempt 1 out of 2
The expression was rewritten using the
.
left parenthesis, 3, dot, 8, right parenthesis, dot, 4(3⋅8)⋅4 equals
dot, 4⋅4 which equals
.
3, dot, left parenthesis, 8, dot, 4, right parenthesis3⋅(8⋅4) equals 3, dot3⋅
which equals
.
left parenthesis, 3, dot, 8, right parenthesis, dot, 4
(3⋅8)⋅4
3, dot, left parenthesis, 8, dot, 4, right parenthesis
3⋅(8⋅4)
Answer
Attempt 1 out of 2
The expression was rewritten using the
.
left parenthesis, 3, dot, 8, right parenthesis, dot, 4(3⋅8)⋅4 equals
dot, 4⋅4 which equals
.
3, dot, left parenthesis, 8, dot, 4, right parenthesis3⋅(8⋅4) equals 3, dot3⋅
which equals
.
Answers
GPT-4o mini
To analyze the expressions given in Line 1 and Line 2, we will evaluate both expressions.
1. **Line 1:** \((3 \cdot 8) \cdot 4\)
- First, calculate \(3 \cdot 8\):
\[
3 \cdot 8 = 24
\]
- Now, substitute that result back into the expression:
\[
24 \cdot 4 = 96
\]
- Therefore, \((3 \cdot 8) \cdot 4 = 96\).
2. **Line 2:** \(3 \cdot (8 \cdot 4)\)
- First, calculate \(8 \cdot 4\):
\[
8 \cdot 4 = 32
\]
- Now, substitute that result back into the expression:
\[
3 \cdot 32 = 96
\]
- Therefore, \(3 \cdot (8 \cdot 4) = 96\).
Now putting it all together:
1. The expression \((3 \cdot 8) \cdot 4\) equals \(96\).
2. The expression \(3 \cdot (8 \cdot 4)\) also equals \(96\).
So to answer the completion:
- The expression was rewritten using the **associative property**.
- \((3 \cdot 8) \cdot 4\) equals \(96\).
- \(3 \cdot (8 \cdot 4)\) equals \(96\).
Thus, the answers can be summarized as:
- **Associative property**
- **96**
- **96**
1. **Line 1:** \((3 \cdot 8) \cdot 4\)
- First, calculate \(3 \cdot 8\):
\[
3 \cdot 8 = 24
\]
- Now, substitute that result back into the expression:
\[
24 \cdot 4 = 96
\]
- Therefore, \((3 \cdot 8) \cdot 4 = 96\).
2. **Line 2:** \(3 \cdot (8 \cdot 4)\)
- First, calculate \(8 \cdot 4\):
\[
8 \cdot 4 = 32
\]
- Now, substitute that result back into the expression:
\[
3 \cdot 32 = 96
\]
- Therefore, \(3 \cdot (8 \cdot 4) = 96\).
Now putting it all together:
1. The expression \((3 \cdot 8) \cdot 4\) equals \(96\).
2. The expression \(3 \cdot (8 \cdot 4)\) also equals \(96\).
So to answer the completion:
- The expression was rewritten using the **associative property**.
- \((3 \cdot 8) \cdot 4\) equals \(96\).
- \(3 \cdot (8 \cdot 4)\) equals \(96\).
Thus, the answers can be summarized as:
- **Associative property**
- **96**
- **96**