Evaluating Numerical Expressions

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Combine all your skills to solve (evaluate) numerical expressions using the order of operations.

Evaluating Numerical Expressions

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$$ 7 + 4 \times 3 = ? $$

Multiply first: $4 \times 3 = 12$. Then add: $7 + 12 = 19$.

$$ (7 + 4) \times 3 = ? $$

Parentheses first: $7 + 4 = 11$. Then multiply: $11 \times 3 = 33$.

$$ 24 \div 6 - 2 = ? $$

Divide first: $24 \div 6 = 4$. Then subtract: $4 - 2 = 2$.

$$ 24 \div (6 - 2) = ? $$

Parentheses first: $6 - 2 = 4$. Then divide: $24 \div 4 = 6$.

$$ 10 + 8 \div 2 - 3 = ? $$

Divide first: $8 \div 2 = 4$. Then work left to right: $10 + 4 = 14$, and $14 - 3 = 11$.

$$ 5 \times 3 + 2 \times 4 = ? $$

Do both multiplications first: $5 \times 3 = 15$ and $2 \times 4 = 8$. Then add: $15 + 8 = 23$.

$$ (15 + 5) \div (8 - 4) = ? $$

Solve both parentheses: $15 + 5 = 20$ and $8 - 4 = 4$. Then divide: $20 \div 4 = 5$.

$$ 30 - 2 \times (7 + 3) = ? $$

Parentheses: $7 + 3 = 10$. Multiply: $2 \times 10 = 20$. Subtract: $30 - 20 = 10$.

$$ 40 \div (2 \times 2) + 5 = ? $$

Parentheses: $2 \times 2 = 4$. Divide: $40 \div 4 = 10$. Add: $10 + 5 = 15$.

Evaluate the expression for: "Subtract $4$ from $20$, then divide by $2$".

The expression is $(20 - 4) \div 2$. Evaluation: $16 \div 2 = 8$.

Evaluate the expression for: "The sum of $3$ and $5$, multiplied by the difference of $10$ and $8$".

The expression is $(3 + 5) \times (10 - 8)$. Evaluation: $8 \times 2 = 16$.

$$ 8 + 2 \times 5 - 12 \div 4 = ? $$

Multiply/Divide first: $2 \times 5 = 10$ and $12 \div 4 = 3$. Expression becomes $8 + 10 - 3$. Add/Subtract left to right: $18 - 3 = 15$.

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