how can you be sure you have used the order of operations correctly to form an expression that is equivalent to the original one? Answer in complete sentances.

— We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The order of operations are a set of rules for how to evaluate expressions. They make sure everyone gets to the same answer.

PARENTHESES : We evaluate what's inside parentheses first, before anything else. For example, 2 × ( 3 + 1 ) = 2 × 4 = 8.

EXPONENTS : We evaluate exponents before multiplying, dividing, adding, or subtracting. For example, 2 × 3² = 2 × 9 = 18.

MULTIPLICATION AND DIVISION : We multiply and divide before we add or subtract. For example, 1 + 4 ÷ 2 = 1 +2 = 3.

ADITION AND SUBTRACTION : Lastly, we add and subtract.

When we have more than one of the same type of operation, we work from left to right. This can matter when subtraction or division are on the left side of your expression, like 4 - 2 + 3 or 4 ÷ 2 × 3.

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