Answered

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Is the following equation true or false?

[tex]\[(3 \cdot 8) \cdot 1 = 3 \cdot (8 \cdot 1)\][/tex]

A. True
B. False

Sagot :

GinnyAnswer
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.
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