Visual guide to solving mathematical expressions using the order of operations.

A diagram illustrating the order of operations in mathematics, showing steps to solve [7 + (2 + 2) + 2³] × 5, with color-coded sections for grouping symbols, exponents, multiplication, division, addition, and subtraction.

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Show Answer Key & Explanations Step-by-step solution for: Order of Operations (Advanced)

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Let’s solve this step by step using the order of operations (PEMDAS/BODMAS):

The expression is:
[7 + (2 + 2) + 2³] × 5

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Step 1: Grouping Symbols — Start with the innermost parentheses.
(2 + 2) = 4

Now the expression becomes:
[7 + 4 + 2³] × 5

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Step 2: Exponents — Calculate 2³
2³ = 2 × 2 × 2 = 8

Now the expression becomes:
[7 + 4 + 8] × 5

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Step 3: Addition inside the brackets — Add left to right
7 + 4 = 11
11 + 8 = 19

Now the expression becomes:
19 × 5

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Step 4: Multiplication — Final step
19 × 5 = 95

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✔ All steps checked. The math is correct.

Final Answer:
95

Parent Tip: Review the logic above to help your child master the concept of order of operations pemdas.

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