4 : 2(3 + 1) = ?
Understand the Problem
The question asks to evaluate the mathematical expression 4:2(3+1). This requires following the order of operations (PEMDAS/BODMAS) to arrive at the correct answer.
Answer
8
Answer for screen readers
8
Steps to Solve
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Solve the parentheses First, we evaluate the expression inside the parentheses: $3 + 1 = 4$ So the expression becomes $4 : 2(4)$
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Rewrite the expression It is helpful to rewrite the expression to avoid ambiguity: $4 : 2(4) = \frac{4}{2} \times 4$
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Perform the division Next, perform the division from left to right: $\frac{4}{2} = 2$ Now the expression is $2 \times 4$
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Perform the multiplication Finally, perform the multiplication: $2 \times 4 = 8$
8
More Information
The answer is 8. This problem demonstrates the importance of following the order of operations (PEMDAS/BODMAS) and performing operations from left to right when they are of the same precedence.
Tips
A common mistake is to multiply $2(4)$ first and then divide $4$ by the result, which would lead to an incorrect answer of $4 : 8 = 0.5$. Remember to perform multiplication and division from left to right.
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