Answer :
To determine whether the equation [tex]\((3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\)[/tex] is true or false, we will evaluate both sides of the equation step-by-step.
### Step-by-Step Evaluation:
1. Evaluate the Left Side:
The left side of the equation is [tex]\((3 \cdot 8) \cdot 1\)[/tex].
- First calculate [tex]\(3 \cdot 8\)[/tex]:
[tex]\[ 3 \cdot 8 = 24 \][/tex]
- Now multiply the result by 1:
[tex]\[ 24 \cdot 1 = 24 \][/tex]
2. Evaluate the Right Side:
The right side of the equation is [tex]\(3 \cdot (8 \cdot 1)\)[/tex].
- First calculate [tex]\(8 \cdot 1\)[/tex]:
[tex]\[ 8 \cdot 1 = 8 \][/tex]
- Now multiply the result by 3:
[tex]\[ 3 \cdot 8 = 24 \][/tex]
3. Compare the Results:
- The left side gives a result of 24.
- The right side gives a result of 24.
Since both sides of the equation are equal, [tex]\((3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\)[/tex] is true.
### Conclusion:
The equation [tex]\((3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\)[/tex] is:
- A. True
So, the correct answer is A. True.
### Step-by-Step Evaluation:
1. Evaluate the Left Side:
The left side of the equation is [tex]\((3 \cdot 8) \cdot 1\)[/tex].
- First calculate [tex]\(3 \cdot 8\)[/tex]:
[tex]\[ 3 \cdot 8 = 24 \][/tex]
- Now multiply the result by 1:
[tex]\[ 24 \cdot 1 = 24 \][/tex]
2. Evaluate the Right Side:
The right side of the equation is [tex]\(3 \cdot (8 \cdot 1)\)[/tex].
- First calculate [tex]\(8 \cdot 1\)[/tex]:
[tex]\[ 8 \cdot 1 = 8 \][/tex]
- Now multiply the result by 3:
[tex]\[ 3 \cdot 8 = 24 \][/tex]
3. Compare the Results:
- The left side gives a result of 24.
- The right side gives a result of 24.
Since both sides of the equation are equal, [tex]\((3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\)[/tex] is true.
### Conclusion:
The equation [tex]\((3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\)[/tex] is:
- A. True
So, the correct answer is A. True.
