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Index/Topics/Order of Operations

Order of Operations

The rules governing the order in which mathematical operations should be performed, including the use of parentheses and the left-to-right associativity of equal-precedence operations.

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4 results
Jan 15, 2026
Most Viewed

How do you compute 143 + 305 * 70 step by step by hand?

The expression 143 + 305 * 70 evaluates to 21,493 when computed by hand by following the standard order of operations: perform multiplication before addition (PEMDAS/MULT before ADD) and then add the ...

Jan 9, 2026
Most Viewed

How to evaluate 143 + 305 * 70 step by step with intermediate results?

The expression 143 + 305 * 70 should be evaluated by performing the multiplication before the addition, because standard order-of-operations rules (PEMDAS: Parentheses, Exponents, Multiplication/Divis...

Jan 15, 2026

What are common errors students make applying order of operations and how do teachers correct them?

Students commonly misapply the order of operations by treating the mnemonic PEMDAS as strictly sequential instead of recognizing equal-precedence pairs and left-to-right associativity, mixing up subtr...

Jan 10, 2026

What are common pitfalls when computing expressions with multiplication and addition?

Computing expressions that mix multiplication and addition commonly trips people up because of order-of-operations rules and misleading mnemonics; multiplication has precedence over addition, but mult...

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