Is 3(2*4) equal to 12?
Understand the Problem
The question presents a simple arithmetic equation. The task is to verify if the calculation on the left-hand side of the equation, 3(2*4), correctly results in the value on the right-hand side, which is 12.
Answer
The equation $3(2 \cdot 4) = 12$ is incorrect.
Answer for screen readers
The equation $3(2 \cdot 4) = 12$ is incorrect.
Steps to Solve
- Evaluate the expression inside the parentheses
Multiply 2 and 4:
$2 \cdot 4 = 8$
- Substitute the result back into the equation
Replace $(2 \cdot 4)$ with 8 in the original equation:
$3(8) = 12$
- Perform the multiplication
Multiply 3 and 8:
$3 \cdot 8 = 24$
- Compare the result with the right-hand side
Now we have:
$24 = 12$
This statement is false.
The equation $3(2 \cdot 4) = 12$ is incorrect.
More Information
The correct result of the left-hand side of the equation is 24, not 12.
Tips
A common mistake would be to multiply only one of the numbers inside the parenthesis with the number outside of the parenthesis. For example, doing $3 \cdot 2 \cdot 4 = 6 \cdot 4 = 24$ is correct. However, $3 \cdot 2 \cdot 3 \cdot 4 = 6 \cdot 12 = 72$ is incorrect.
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