Order of Operations

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What is the Order of Operations?

Back

The Order of Operations is a set of rules that determines the sequence in which calculations are performed in a mathematical expression. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What does PEMDAS stand for?

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PEMDAS stands for: P - Parentheses, E - Exponents, MD - Multiplication and Division (from left to right), AS - Addition and Subtraction (from left to right).

Front

Simplify: 3 + 5 × 2

Back

13 (First, multiply 5 × 2 = 10, then add 3 + 10 = 13).

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Simplify: (8 - 3) × 4

Back

20 (First, subtract 8 - 3 = 5, then multiply 5 × 4 = 20).

Front

What is the result of 10 ÷ 2 + 3?

Back

8 (First, divide 10 ÷ 2 = 5, then add 5 + 3 = 8).

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Back

19 (First, solve inside the parentheses: 3 + 4 = 7, then multiply: 2 × 7 = 14, and finally add: 5 + 14 = 19).

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Back

22 (First, solve inside the parentheses: 6 + 2 = 8, then multiply: 8 × 3 = 24, and finally subtract: 24 - 4 = 20).

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Back

14 (First, divide: 12 ÷ 4 = 3, then multiply: 5 × 2 = 10, and finally add: 3 + 10 = 13).

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Back

16 (First, calculate the exponent: 2^3 = 8, then multiply: 4 × 2 = 8, and finally add: 8 + 8 = 16).

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Back

1 (First, solve inside the parentheses: 2 + 1 = 3, then multiply: 3 × 3 = 9, and finally subtract: 10 - 9 = 1).