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Order of operations

Grade 6 · Math · Free lesson

Hi there! Today we will learn how to solve math problems with more than one step using PEMDAS.

When a math problem has many signs, we need rules to know what to do first. PEMDAS tells us the exact order to solve each part.

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PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Exponents come right after Parentheses! Just like analyzing evidence in a story to infer themes, we follow step-by-step evidence in math.

P (Parentheses) & E (Exponents)MD (Mult/Div) & AS (Add/Sub)

Always solve Parentheses first. Next, clear any Exponents, like 2 squared. Then, do Multiplication and Division from left to right. Last, do Addition and Subtraction.

Solving 3 + (2^2 * 4)1st Parentheses & Exponents: 2^2 = 42nd Multiply: 4 * 4 = 163rd Add: 3 + 16 = 19
✏️ Worked example

Evaluate the expression: 5 + (3² - 1) * 2

  1. Look inside the parentheses first: (3² - 1).
  2. Solve the exponent inside: 3² = 9.
  3. Finish the parentheses: 9 - 1 = 8.
  4. Multiply next: 8 * 2 = 16.
  5. Add last: 5 + 16 = 21. The final answer is 21.
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